WO2022034266A1

WO2022034266A1 - Network by means of which a machine speaks the law by simulating, by continuous auto-application, the speech of the author of the legal instrument

Info

Publication number: WO2022034266A1
Application number: PCT/FR2021/000059
Authority: WO
Inventors: Jean-Louis Capitolin
Original assignee: Capitolin Jean Louis
Priority date: 2019-12-07
Filing date: 2021-05-28
Publication date: 2022-02-17
Also published as: EP4200740A1; FR3104298A1; FR3104299A1

Abstract

Disclosed is a computer-assisted method for simulating the speech of the author of the legal instrument by means of a network, and comprising two phases. A phase (I) of mathematical specification (I) and a phase (II) of computer realisation of the mathematical specification. A plurality of means, the arrangement of which is specially designed in order to lend itself to the implementation of the method, are proposed, including a legal accessibility device and a network access point. A specific configuration of processors and recording media enables a network to be obtained. The network is the means allowing a machine to speak the law by simulating, by continuous auto-application, the speech of the author of the legal instrument. The speech of the author of the legal instrument is itself defined by a hardware point constituting the distinctive element of the network and allowing the sets to be defined in relation to which the speech can be considered as being heard.

Description

Title of the invention: Network by means of which a machine speaks the law by simulating, by continuous self-application, the word of the author of the legal act

[0001] Consider today the so-called consolidation or codification or entry into force operations which are a particular aspect of access to legal acts published in the Official Journal in electronic form. Let us consider them as illustrative of a form of pathology, that they inherit an essentially literary tradition that specialized forensic services have never called into question. Thus, the art of drafting the law and that deployed in poetry can be, on the level of the principles which govern them, the same, without epistemological precaution, since in poetry as in legistics the long experience in matters of abstraction, conciseness, precision and clarity is enough (Catherine Bergeal - Foreword - Courrier juridique des finances et de l'industrie, special issue, June 2008, p. 3) The technical approach to legal application of a precautionary editorial principle.

[0002] But is the law really comparable to poetry in particular and especially to other textual data?

[0003] According to the invention, it is a datum comparable to no other datum; which can have a consequence on the technology of its writing. The latter is not held only in natural language, it can be symbolic as in mathematics or computer science.

It is precisely on these two aspects that the present invention insists. The approach is definitely no longer literary. And, it is precisely technical problems that can best show the thing as well as the technical solution that the invention brings consisting in the combination of a reduction by simplification of the legal act and therefore, of the $SOURCES$ law to show a topological field and an abstraction by selection to show an algebraic invariant, in these same sources.

[0004] A first technical problem is that of the relationship between a legal text $A$ and a text of the same nature $B$ which modifies it is not classified among the major contemporary legal problems, at least insofar as, for the moment, the excesses of a certain "-legal bazaar-" would be barely contained by the competence of attribution of the authors and their good intentions (Jean Waline - Le grand bazaar juridique - AJDA, February 8, 2010, p. 177 )

Indeed, lawyers are so realistic that they fabricate a $C$ copy of the rule $A$ modified by rule $B$, whereas literally rule $C$ does not exist; it has not been the subject of any signature, promulgation, it does not have the existence that has highlighted the history of philosophy and "defined as what can be" (Jean -Christophe Bardout - Thinking about existence, Exposed existence, medieval times - Paris, Vrin, 2013, p. 26). We cannot even say that the rule $C$ is caused by $B$. However, creating $C$ automatically is all that information and communication technologies can offer today. It suffices to understand that $C$ is the update of $A$, without being able to explain how $A$ can remain, in all circumstances, a copy of itself as long as its update create another copy of itself; such is the result of the timid ambition of positivism limiting itself to discovering the laws of phenomena (in this case, the $C$ phenomenon). In fact, the consolidation of texts consists, when an article of text (or code) is modified, in rewriting it by integrating the modification made. The amended or repealed versions are present in the documentary collection in the same way as the versions in force; which leads to an accumulation of files.

[0005] In the present invention, it is estimated that $A$ has the cause of its transformation into $B$ without additional intervention since $A$ while being transformed must remain the same, that is to say $A$. It is therefore sufficient to always be able to produce an $A$ copy.

[0006] The second technical problem is that of the relationship between code $A$ and its modification. It is generally agreed that it is appropriate to apply to it what requires human attention, in principle, considerable. Thus, “It is essential that texts relating to an already codified subject be drafted by immediately modifying or supplementing the code and not outside of it; indeed, the codes would gradually lose their value if external texts intervened without being inserted into them. It goes without saying that it is important to ensure that new texts do not affect, modify or repeal a text already repealed as a result of codification” (Report of the High Commission for Codification, 2006- p. 30)

In the same way, these monitoring and maintenance operations of the operations relating to the pilot/follower codes remain important. Attention must be paid, in the current state of affairs, in particular to the “following provisions” to be modified at the same time as the “pilot provision”; with an indication by the ministries, with the help of the legislative file of the General Secretariat of the Government, of the pilot articles which are included in one or more subsequent provisions so that the subsequent modifications are systematically coordinated (Commission de la codification - Rapport 2006- p 30) This means that the relations between norms are subject to significant human intervention. clarity and accessibility. In specific cases, such as that of communities governed by the principle of legislative speciality, it is recommended to replace it with "the wording in full of the applicable provisions" because then we obtain an easier reading for users of the code but it necessarily implies that systematically modified at the same time the metropolitan provisions and the echo they find, in the event of extension, in the overseas code. This requirement of simultaneous maintenance of two codes implies the implementation of strict practices (Report 2007 p. 32).

However, it is precisely this involvement that multiplies the risk of error. These errors are there to remind us of the permanence of the problem. It happens that we note a lack of parallelism in the publication of the basic texts and their modifying texts. Thus, it is a discreet insertion in the "notice" part of the edition of the laws and decrees of the Official Journal of March 24, 2001 which brought users' attention to the signature of endorsement no. 4 of November 9, 2000 to the national convention of general practitioners of November 28, 1998, whereas the latter, approved by the decree of December 4, 1998, had been published in the "general texts" section under the heading "Ministry of Employment and Solidarity", of as well as its riders Nos. 2, 3 and 5 of December 11, 1999, April 19 and December 21, 2000. Consequently, Jurifrance omits the modifications made by this rider in the consolidated text of the agreement which it reproduces, as does Litec forget to mention it-”. (Hervé Moysan - Constant law codification does not stand the test of consolidation - Chronicle, Administrative Law n° 4, April 2002, chron. 7) Standards are therefore likely to be true or false, in this specific case (According to the assertion of Kelsen. Michel Troper - La force du droit - p. 122), because here everyone will freely appreciate that it is not a question of validity, since the consolidation has no official character.

One will appreciate the extra attention and care that publishers put into work to avoid these errors which obviously are decreasing.

[0008] There is therefore a particular difficulty which is linked to the fact that compliance with the requirements of clarity and intelligibility entails an increase in human intervention and the current techniques only distinguish where it is the same and present the same when it is necessary to distinguish. They facilitate access to the law but do not insist more on the problem of its accessibility. However, denying this problem leads to the belief that the consolidation of the laws and regulations in force is a purely mechanical operation, even if voices are raised to affirm the contrary (Hervé Moysan - Codification à droit constant does not resist consolidation test - Chronicle, Administrative Law n° 4, April 2002, chronicle 7) To deny this problem of technical accessibility amounts to believe that we can only intervene effectively by focusing our efforts on the symptoms and not on the causes despite the voices implicitly denouncing this idea (“-the codification relates to the effects and not the causes of the evil.-” Hervé Moysan - La constant law codification does not stand the test of consolidation - Chronicle, Administrative Law No. 4, April 2002, chron. 7)

[0009] The opportunity to reduce the importance and place of human interventions has led, in principle, to consider that some of them can be automated; it is true that the administrations in charge of legal publication operations therefore equip themselves with IT tools. But, while remaining in a double paradigm. The first consists in reserving this recourse in cases where one is confronted with a large number of repetitive operations and therefore susceptible to standardization and automation. The second consists in placing the interest of this recourse within the traditional framework of word processing with, as for the realization of the general code of the territorial collectivities, a software of codification assisted by computer (the software Magicode designed by the mission of codification of the General Directorate of Local Authorities has designed) based on the use of office software (Report 2006, p. 28).

[0010] Beyond the automation of repetitive tasks, the information technology of the legislative technique must take an interest in these relations in a way that dispenses with human intervention, which is a source of error. In this respect, the fact that the contemporary problem of clarity and accessibility has crystallized in questions of relations between standards indeed constitutes one of the interests of the search for and the definition of a technical solution according to the invention.

[0011] Moreover, the consolidation practiced in France is of an informative nature and has no enforceable value. (European Forum of Official Journals 2013) and it always requires a delay after the entry into force of an amendment published in the OJ.

[0012] The technical problems thus posed by knowledge of the law require a new approach which the present invention sets out. It will be noticed and emphasized that all these technical problems concern relations and not objects. This relationship that we show in the solution between the machine and a point of access to knowledge. The present invention considers the relations from an angle conferring on the solution that it proposes a technical effect.

[0013] A machine for saying the law is proposed and particularly dedicated to the digital accessibility of states of the law by continuous self-application of processes relating to standards, that said machine equipped with a legal accessibility device, having an access point, implements.

[0014] The legal accessibility device is the very one whose existence, without even knowing it, Hans Kelsen assumed from a "dynamic" point of view, by affirming that "The law itself regulates its own creation" (Hans Kelsen - Pure Theory of law - translated by Charles Eisenmann, Paris, Dalloz, 1962, 2nd edition, p. 299). This device equips a machine for the continuous self-application in the sources of the law, of a process, contained in the provisions, which has as its object provisions, to produce knowledge of the law.

[0015] On a more technical level, we can also take inspiration from the hypothesis presented by Giuseppe Longo in terms of self-application by stating that it is a question of constructing a space $X$ isomorphic to its own space $ X → X$ of functions. Thus an element is also a function (up to an isomorphism), a function is an element. This is the case of the legal accessibility system. In this, the present invention provides a technical solution by focusing on the causes and not on the effects.

[0016] For example, to identify a consolidation (effect), by virtue of operations that can be defined as non-human (causes), we take two sequences of character strings from the text of the legal act whose elements form two compacts and the compacts are identified with one another by means of processes relating to the standards, that is to say to themselves. Consolidation is obtained from two sources that are glued together by means of processes that they contain and of which they themselves are at the same time the source, the object and the target.

If only to obtain a compact, the present invention first requires seeing the sources of the law beyond the data which generally represent them in terms of information and communication technologies. In particular, reintroduce the problematic of the author and the word in the treatment of the problem.

[0017] Thus, according to Gustave Guillaume: "The movements of thought intervening in the internal economy of the system of the person are numerous and varied and subject, according to the idioms, to very diverse interpretations, but these interpretations, however diverse -they leave outside of them, intangible, the fact that under all the persons ordinarily designated, having rank by fact of language, there exists an object person, of whom it is spoken and who, as person of whom it is spoken, escapes in itself to the variation in rank. Its rank, which does not vary, is that of what we are talking about, in other words a rank in coincidence with the third rank. Beneath the person \textit{ I], speaking, there is the one who speaks about herself: she is therefore also the person of whom it is spoken, therefore third under first. Under the person \textit{tu], there is the one to whom one speaks, who is also the one of whom it is spoken to itself, therefore third under second. And under the person \textit{ he] who does not speak, and to whom he is not spoken, who is a person outside of language, a negative person on the side of language, there is a person of whom he is spoken, who is a negative person, who is therefore third under a rank of non-existent language.

The constancy of this third person under all ordinal headings is the fact on which the inner economy of the system of person and that, annex, of the pronoun. [...] To the person, always existing, of which it is spoken, will be given the name of logical person: logic wants in fact that always and <everywhere> in speaking something is spoken of, and that is to the <capacity> that the logical person may have to bear an ordinal title emanating from the language and also to integrate one or more functions, that we will relate the entire economy of the system of the person and of the related pronominal system . (Gustave Guillaume - Leçons de linguistique de Gustave Guillaume-: 1948-1949, series C, Special grammar of French and general grammar (IV) - text established in collaboration with Christel Veyrat, second edition, Roch Valin, Les Presses de University of Laval, Quebec, 1982 p. 52)

In the present invention, the mechanics are as follows: for example, the law is passed by Parliament in article 24 of the constitution corresponds to the person, still existing, of which it is spoken, logical person 'he' . The term "law" which is part of the title of the legal act, its form, corresponds to the person "he" who does not speak, and to whom it is not spoken, who is a person outside language, a negative person on the side of the language or a non-person for Benveniste and finally, the mention “voted the law whose content follows” corresponds to the person “I”, speaking, and who speaks about her.

[0019] These two aspects, a priori, non-technical, become technical in this legal mechanism. Indeed, there is a person referred to as "Parliament" under persons who have a rank by fact of language, that is to say in the legal act: under "law" for the negative person who does not not speak and, under "voted the following" for the speaking "I" person. The constancy of this logical third person under the first person and under the person whose rank of language is non-existent is the fact to which the present invention gives the mathematical garment of homotopy. The mention “Parliament votes the law” now has a technical, mechanical effect, since the continuous applications concerned can be defined.

The present invention proposes a method for describing these applications. A description that responds to a technical purpose specific to the legal field and limited to this field as, Kelsen has very well affirmed. The application of the law by the law itself but without human intervention.

[0021] The link between this technical purpose and the steps of the proposed method is exposed on the one hand, by dividing the methodological question: a mathematical specification and a computer realization constitute two preliminary steps on the other hand, by recommending a computer implementation of the method for producing a copy of the claimed legal accessibility device.

Without this implementation the technical effect is not obtained but its possibility is only formalized. As input to this process we have a character string and at the output a space of functions. In order for the transformations through which the string of characters passes to be seen as continuous, a computer must execute the enalling operator of people (figure of construction by revolution: Fontanier p. ) who are part, at the start of the process, of the elements not purely non-technical: from 'he' to 'I' and vice versa.

The specific technical purpose of the present invention uses the internal economy of the system of the person to hear the word of the person who speaks, with regard to the authors of legal acts. As these cannot say here, that they were modified in such a way on such a date - what we have in the classical system - and, there, that it is necessary to read this instead, the present invention makes heard a consolidated word at any time, in any place, in any matter even if the consolidation is null in which case we are dealing with the initial act. The setting can go as far as changing votes when, within legislative provisions, there is an expression which has been downgraded by the Constitutional Council on the basis of Article 37 paragraph 2 of the 1958 constitution.

To obtain a compact, the present invention persists in seeing the sources of law beyond the usual format of the data which generally represent them in the field of information and communication technologies. In particular, and in a way that is perfectly complementary to the internal economy of the person's system, introduce mathematical formalization into the treatment of the problem, other than by the coding of characters.

In doing so, the present invention does not borrow from this formalization any more than is necessary for it. It is enough for it to choose in this formalization what joins its essential preoccupations: the technical problems which it examines concern relations and not objects. The present invention considers the relations, already present in the sources of the law, from an angle conferring on the solution that it proposes a technical effect.

If this presence has not been noticed, it is lack of size to mark it. This is why the present invention places its solutions in the field of mathematical categories. They can show the quantities in question and which concern only relations in the form of three morphisms, of three classes of homotopy, of a fundamental group and an authentic homotopy to construct this isomorphic space. It suffices to mathematically specify elements of the $SOURCES$ of the law because, precisely, they are not purely non-technical. Their mathematical clothing is not easy to find, but the present invention proposes an experimental determination relating to measurements and to the notion of approximation.

[0027] The $SOURCES$ of the right are not considered as a non-technical element. It's about seeing them as not purely non-technical. Then, the method presents the means of making the transition between this status, which is not purely non-technical, and a technical element in its own right, for implementation and operation by computer.

As regards the experimental determination relating to a measure, the legal act is considered to be a vector space. But this measure must respect a structure of this act or rather, the structure must be made in this measure. This is the case with the idea according to which the device which is the subject of a numeration (article 1, article 2, article 3..., article n) is the whole legal act; such as the measure of a legal act and all the $SOURCES$ of the law. We can reduce the juridical act to its operative part; all form elements are only properties of the content of this device, the body. There is a base that generates this body and the properties of the legal act, in general, its form, are shared by each element of the set concerned.

[0029] It is quite easy, in accordance with Bourbaki's topological elements, to affirm that the article of the legal act, this device, is a neighborhood of a word or a letter of this article, if when we replaces this word or this letter by an element "-approximate-", this new element still belongs to this article, provided however that all the words or letters of the article "-sufficiently close-" to the word or letter belong to the item.

[0030] Next, the idea of communication between neighborhoods comes firstly from the fact that a neighborhood can indeed cite a neighborhood on the other hand, that a neighborhood can indeed modify a neighborhood and that from this point of view a different distance (quotation, time) is defined than that originally retained, starting from the notion of article or device. All the problems mentioned in the present invention concerning the relations between standards find an epilogue here. It is a question of relations between open sets of a topology, the device not purely non-technical (“provision” in Anglo-Saxon law) this being an ultrafilter, the finest filter that one can envisage on the juridical act, containing as a collection, the filter of the juridical act itself as well as all those which from the textual point of view constitute its structure (book, chapter title). The closed are the complementary of the device and the complementary is, according to the present invention, the place where all the properties of the device are found under conditions such that no nuance that the author of the legal act will have introduced can not be shown, for all or part of this or that device.

[0031] In addition to its location in topological space, each character of a device, each element of the set defining the body, carries with it all its properties whereas, in the hypertext system, it is at each node that we associate a certain number of formal attributes (name of the author, date of creation, etc.), the node relevant usually being the article. Each element of the body has the property of knowing itself, whatever the values that each of the properties contained in the closed ones will have and even if this value can differ as little as possible in the same neighborhood.

[0032] In law, the mathematical specification of the elements of the $SOURCES$ of law comes from the fact that by affirming that the device of a legal act is not a purely non-technical element, one gives it a mathematical garment by virtue of of the notion of distance, which in law has multiple dimensions. The distance is not only that which exists between article 1 and article 2 but also that which exists between article 1 and that which modifies it, that which exists between article 2 and that which quotes it, that which exists between article 1 of a regulatory act and article 1 of a jurisdictional decision which annuls it, that which exists between full applicability and applicability upon express mention, it that is to say, in the latter case a distance carried by two possible properties of the device. As with the case of the legislative term which has been declassified (article 37 paragraph 2 of the French constitution), there is also a distance between the device comprising the declassified term and the device of a decision of the constitutional council downgrading.

This type of abstraction by simplification which starts from the $SOURCES$ of the law and stops at the device does not spare any legal system or order. For example, there is a distance, within the meaning of the present invention, between the “provisions” of a statutory instrument and those resulting from the exercise of the “statutory powers” which said statutory instrument authorized the exercise. Under Chapter 36 of the Statutory Instruments Act 1946. In the present invention "provisions" are synonymous with not purely non-technical device.

[0034] The invention therefore essentially relates to an automatic communication system between devices whose structure is the legal accessibility device. This device is an algebraic structure which is a mathematical body equipped on the one hand with addition and the opposite and on the other hand with multiplication and the reverse. Thus, the additive group and the multiplicative group.

On the one hand, addition is fairly conventionally defined by concatenation. But this function conc. in the present invention is continuous, and the group also includes the opposite operator, resulting in a binary operation. The class conc. respecting the constraints in the considered topological space. Being a noncommutative space, which has its own time in noncommutative algebra. This forces us to be more careful than in the case of commutativity (Alain Connes - Non-commutative Geometry - Conference, Metz on November 06, 2007)

On the other hand, the multiplication is defined in a way that is specific to the $SOURCES$ of the right. Indeed, we define the use of a class disp, without it meaning anything it is by itself (Whitehead and Russell - Principia Mathematica - p. 71) The invention consists in that it gives to provisions which have as their object provisions and which, as such, are not purely non-technical, a garment which allows on the one hand to produce a technical effect when certain circumstances are met on the other hand, to show that any extension appearing in a list drawn up and completed under the analysis of $SOURCES $ of the right, is <the same> as the class. Finally, this garment gives to this class disp, the character of the multiplication operation in the definition of the operators of the mathematical body. This class disp, is also binary and has its inverse in the group. The list is a library of functions written using the conc continue function. which are at the origin of not purely non-technical processes relating to standards characterized in particular by the rules relating to the mode of formation of the legal order, the modifications of legal acts, the rules relating to the legal existence and entry into force of acts, rules relating to the meaning, citation, reference, publicity, etc. (family of parties of a provision of a operative part of a legal act of the $SOURCES$ of the law). In this way, the principle referred to as “reverse references” by the higher codification commission is extended to all these provisions. Indeed, “~ In many cases, an article of a code is itself cited by reference in other codes or in non-codified provisions; and any change to the substance of this article logically calls for verification of the relevance and consistency of the provisions referring to it. The same applies \textit{a fortiori} in the event of renumbering, splitting or even deletion of this article. It is therefore essential that each of these modifications give rise to a verification of what is known as the reverse references.-» Higher Codification Commission - 2007, p.

17 and Elisabeth Catta, Alexandre Delliaux - References and reverse references, legal tools - Twenty-first annual report, 2010, p. 70.

The homotopy classes relating in particular to the signature provide an opportunity to program questions relating to the hierarchy of the authors of legal acts by means of groups of homotopies. Other questions are to be considered, that of the procedures by virtue of which these authorities were designated (election, appointment) But, in any case, 'I' and 'he' are algebraic invariants of the transformations of the chain of characters with topological body, the accessibility device pointing towards this invariant.

To complete the description, it should be specified that locally, the meeting of all the articles of a legal act contains the legal act and that globally, in terms of the $SOURCES$ of the law, said article is compact. This characteristic of the legal accessibility device equipped with the induced topology is essential to the technical solution provided by the present invention. Thus, the calculation of an open following a modification ordered by an open other than itself is a finite recovery.

[0039] The mathematical notions of understated and overstated parts make it possible to demonstrate the link that exists between the device and the grounds for a jurisdictional act while preserving the device's dimension as a mathematical body for any legal act, whether or not non-jurisdictional. This notion of the increasing part can be taken up with regard to the explanatory memorandum for non-jurisdictional acts.

[0040] Other stronger generalizations can be envisaged if we consider parliamentary work, in particular when, with respect to the application of the majorante part to non-jurisdictional devices by logic programs, it is envisaged that this application is carried out not only by using reasonings but also a specific class of overriding part like the said parliamentary works as the spirit of the law; the latter entering into the sub-parts of the reasoning.

[0041] This is why a legal accessibility device with which a machine is equipped can show the non-purely non-technical “device” of a legal act as an equivalent endowed with specific properties that can be executed by this machine. Because this “device” is an ordered sequence of characters from the $SOURCES$ of the law (character strings). This sequence is equivalent to a noncommutative topological field obtained by means of a transformation carried out by a vector processor. The vector instructions (which perform the operations of transformations on each glyph of the base Y) that the latter executes include a morphism of morphisms of morphisms which outputs a noncommutative topological body. This equivalence which takes place between said ordered sequence of characters of said legal act and a locally compact space can therefore be reduced to a single morphism generalizing the others. The resulting non-commutative topological body, homeomorphic to the non-purely non-technical "device" of a legal act in the uniform space of the $SOURCES$ of the law, that the adopted method borrows the voice of two following specifications: one mathematics and the other computer science. The mathematical specification describes the mathematical objects which constitute the clothing of the said non-purely non-technical elements essential to the said manufacture. The computer specification consists of the computer realization of the mathematical specification, to make possible the production of the said body, isomorphic to the non-purely non-technical “device” of a legal act in the uniform space of the $SOURCES$ of the law and its use.

[0042] The method therefore includes a phase of mathematical specification, where the form, the reasons and the "device" are the attributes of the legal act in their non-purely non-technical version. To make the technical character possible, it suffices to determine in a specific way each element of the act - there is no notion of empty words in the present invention - by referring to the measures, distances and appurtenances. following proxies:

[0043] a) Firstly, said legal act is a vector space X provided with a basis Y

[0044] b) Second, said legal act has an additional topological structure and is separate

[0045] c) Thirdly, said "device" that normally comprises said legal act is, on the one hand, an ultrafilter such as a collection of chapter, title, legal or jurisdictional act filters, on the other hand, a non-commutative topological body ( equipped with the induced topology) whose type is either legislative or regulatory or jurisdictional

[0046] d) Fourthly, said "device", of said legal act comprises a class disp, of provisions which are the laws of internal composition of said $SOURCES$ of the law and have as their object all or part of one or more "device( s)” and enter into the definition of the body.

[0047] e) Fifthly, said legal act also includes, in particular, in said form, an author 'I' which is exchanged, according to the technique of enallage, with a legal act (law, decree, order, decision. ..) 'he', forming a commutative group of enalling

[0048] f) Sixthly, the legal act is a reference set in which all the elements relating to said form on the one hand are the complement of said "device", on the other hand are the properties of each element of the together defining the body.

[0049] g) Seventh, a binary relationship is defined, in the legal act whose body is of the jurisdictional type, between said "device" and said grounds such that: the upper bound $x$ greater than or equal to Y and the lower bound $ x$ less than or equal to Y. An element $x$ of the body of jurisdictional type is an upper bound of the “device” if it is greater than or equal to all the elements of the “device”; in this case, the increased part of the "device" is the motives. An element $x$ of the jurisdictional type body is a lower bound of the “device” if it is less than or equal to all the elements of the “device”; the minus part of the “device” is in this case all or part of the “device”.

[0050] h) Eighth, said reasons are the bounded parts (Whereas or Recitals) of bodies of the jurisdictional type of device, included in these bodies by homothety and admitting an upper bound and a lower bound in said legal act

[0051] i) Ninthly, the acts, titles, chapters, articles are a <structure> not purely non-technical provided with a <label> corresponding to an order, <structure> itself cited in the "devices" and constituting a network

The second phase is a computer production phase, making it possible to implement the mathematical specification by computer. The present invention does not propose the program itself but describes what the computer writing must take into account and what the device must have specific so that the implementation of the program by the computer makes it possible to give each of the elements of the act legal the mathematical garment described in the mathematical specification. With this in mind, the program includes the following computer scripts:

[0053] a) the computer writing of the transformation of an input character string, in vector space X by means of the base Y. The writing takes into account:

[0054] (al) the mathematical clothes of the non-purely non-technical elements of the mathematical specification, in particular the <structure>, the ultrafilter, the duality class to produce an output compact

[0055] (a2) of the commutative enalling group.

[0056] b) computer writing:

[0057] (b 1) of the multiplication operator of the body by means of an algebraic structure morphism between the structure for the computer writing of the vector space X from an input character string, including at least the basis Y of the vector space X and the operator conc. on the one hand, and the structure for computer writing of the class disp., comprising at least the equivalent, in the function space, of the base Y of the vector space X and of the operator of somewhere else

[0058] (b2) of a library of the available function class..

c) the computer writing of a structure morphism between the algebraic structure for the computer writing of the <structure> and <label> classes of the vector space X from an input character string, including at least the basis Y of the vector space X and the operator conc. on the one hand, and the algebraic structure for computer writing of the classes <structure> and <label> of the space of functions, comprising at least the equivalent of the base Y of the vector space X and of the operator, on the other hand.

[0060] d) the computer writing of the signaling in a "device" of the operands

(“structure”, <labels>) which are the arguments of the functions of the class disp, by generalizing the notion of distance in a network of <labels> relative to the notions of references, citations, downgrades, mentions and other objects of the class available..

[0061] e) computer writing of the fundamental group 'p from the commutative enalling group for the execution of a homotopy inducing an equivalence relation between all the applications defined in the computer realization of the entry point from the ordered character sequence of the juridical act to the non-commutative topological body.

[0062] f) the computer writing of the algebraic structures necessary for the exploitation by the computer of the increased part of jurisdictional type fields

[0063] g) computer writing of the implementation in a machine of the legal accessibility device for, in particular, drafting legal acts.

The duality class makes it possible to produce a compact output by means of the natural transformations of a vector space X according to the following duality class: [0065] a) the natural transformation of the vector space X into its algebraic dual X*

[0066] b) the natural transformation of the algebraic dual into its topological dual X**

c) the natural transformation of the topological dual X** into its dual category (X**)op

[0068] The legal mechanism by virtue of which all continuous applications are executed is represented by the commutative group of enalling composed of the part of the person who does not speak "he", the person who speaks "I" and the logical person spoken of as 'he' — neutral element —; on the other hand by the operator of equivalence between the ordered series of characters of the legal act and the non-commutative topological body, known as enallage.

[0069] This Fundamental Group 'p comprising a enalling operator is the point of origin and end of two loops α1 and α2 by constructing a loop first traversing the trajectory α1, from 'I' being homotopic to ' he' then α2 of 'he' being homotopic to 'I'. Thus, the state of the law is indeed that which, on path α1 does not speak and, that which on path α2 speaks.

[0070] The homotopy inducing an equivalence relation by means of the classes of homotopy of laces obtained from the signatures of the authors of the legal acts 'I' and of the formal mentions (law, decree, order, decision... ) and groups generalizing these classes to ensure all the continuous transformations, one into the other, of the provisions and devices of the legal act.

The multiplicity of the relationships involved requires within the device a specific configuration of the processors, of the recording media. The processors are vectorial in that they implement a family of characters necessary for writing the entire legal act and whose linear combination forms the words, sentences, indents, paragraphs and the structure of this act. They must be able to perform the two binary operations of the body making it possible:

[0072] a) addition, for concatenation

[0073] b) multiplication to circulate in the compact

[0074] c) the calculation of opposites making it possible to define the subtraction operator

[0075] d) the inverse calculation making it possible to define the division operator

[0076] The processors implement with the recording media and a commutator the kinematics of the material point including the logical, spatial, temporal and categorical reference frames, the latter being an axiomatic formulation which links the linear combinations or the continuous maps to the functions. who preserve them. A commutator makes it possible to show that it is possible to measure the two quantities - locally compact space -, relating to the knowledge of law simultaneously in order to produce the homotopy of sub-coverings, one in the other. This possibility is checked by the client by means of an access point where he enters what is analyzed by the machine as “close enough” to the target. This input is analyzed by the machine as a signal "sufficiently close" to the target that allows it to seek the image of the latter to make the calculations it requires before communicating the states vocally or textually to the client on his terminal.

[0077] The operation which, by way of example, is particularly described here is consolidation: so-called “informative” consolidation, which has only strictly documentary value because it is the result of technical and scientific work and, where appropriate, editorial. I exclude so-called “constitutive” consolidation, which has a normative scope because it follows the path of the usual normative process.

[0078] “consolidation is certainly a doctrinal operation because it consists in integrating into a so-called basic act (code, law, decree, etc. in French law) modifications of various kinds, coming from types of data deemed scientifically relevant, according to a previously defined method, if necessary by carrying out research and implementing knowledge, analyzes and interpretations”. Herve Moysan

[0079] It is a question of making consolidation not a doctrinal operation but an opportunity to simulate the potential of the law consisting in regulating its own creation. This simulation of its own physical behaviors making it possible to obtain these states of itself by means of the material point makes the conventional way of processing data unnecessary. It is therefore a closure property of a mathematical structure, the noncommutative topological field of a locally compact space, which gives a solution to the problem.

[0080] For reasons related to the place and role of information and communication technologies in the legal professions, according to the present invention, the terminal can have telecommunication functions for sharing within private networks the elements of a family of products, and have private conversations between professionals in the legal professions as well as serve as a connection key to existing private professional networks, offer voice or text services, functions for photographs or digitization of professional documents whose name is mentioned in the sources of law, said services are offered in particular by a software library or a web service. The terminal may have dedicated functions such as recording the results of measurements taken by traffic control speedometers, having an exclusive dedicated electronic surveillance function allowing voice biometric authentication for the purpose of remote verification of the presence of persons under surveillance electronic. More generally, the terminal natively has security protocols dedicated to secure communication with any electronic device created by sources of law to be used professionally in legal professions

Claims

Claims [Claim 1] Computer-assisted method for simulating the speech of the author of the legal act by means of a network comprising:

1. a generative family

2. an equivalence relation

3. a compact

4. a class of specific processes characterized, according to the following phase (I) of mathematical specification, in that: i. Said generating family (1.1) is a family of characters, of a vector space X, necessary for the writing of the entire legal act and whose linear combination forms the words, the sentences, the indents, the paragraphs and the < structure> of this act. :

2. Said family (1.1) makes it possible to construct language facts by means of said equivalence relation (1.2) between the vector space X of sources of law, which is closed and bounded, and the noncommutative topological field X** ^op which is a compact needed to form a network. at. According to this mathematical specification, X is closed and bounded => text of the legal act. The bounds and the limit points are the scalars associated with the language fact r1(v) or r3(v). The scalar is the equivalent of a quantity of speech this quantity is sometimes a limit, sometimes a limit but, in all cases, a linear form, the value of each character of a sequence of input character strings by means of an equivalence relative to mathematical notions of sequence, structure, measure, distance and approximation and, in particular, to the notions of limit points (as closed) and terminals (having between all the points constituting the sequence, a determined distance between them and between the chains of a sequence). It indicates divisions (Law, Title, Section, Article, vote) which are so many limits and the types of legal act (constitution, law, decree, order etc.) which are so many limit points, a certain order (numbering, as published in the Official Journal), mention, quotation and reference to these divisions, terminals, limit points, types, numbering, order. They manifest the <structure>, the ultrafilter, the duality class for producing a locally compact output space and the topology induced by the distance. Scalars are reachability. Endpoints are either (Law) or (voted)

3. According to this mathematical specification, X is compact (1.3) => sub-sequences linked to the topology of the act (Law, Title, section, Article, Paragraph, paragraph) and sequence of legal acts if the set of reference is (A) (Law1, Law2, Law3, etc.) the compact is the result of the transformation of the sources (A) put into input of said machine by virtue of an internal composition law of so-called duality equivalence between the subspaces of a function space. Said compact is said generalization of a device of a legal act which is closed (containing all its limit points) and bounded (having, between all the points constituting it, a determined distance between them and, between the chains of a suite) and from which one can extract processes relating to the standards capable of being part of the network used by rune machine (). This duality class produces this capability as an output by means of the natural transformations of a vector space X according to the duality class and the following subspaces: a. A duality class comprising:

1. the natural transformation of the vector space X into its algebraic dual

2. the natural transformation of the algebraic dual into its topological dual

3. the natural transformation of the topological dual into its dual category b. The following subspaces:

1. the first subspace is the elementO, the set of linear combinations of vectors of X over a field generated by a family of characters.

2. The application associates to any combination its k-th coordinate in the family. The forms of this application [Formula of promulgation, Law, Title, Chapter, Section, Article] form a base of the subspaces of linear forms on X* and play the role of filters (limits of the compact) nested by virtue of an inclusive relationship

3. the category of topological vector spaces obtained by natural transformation of the algebraic dual. We reach there X** the device of the juridical act, the Article as open.

4. the opposite category obtained by natural transformation of the category of the topological dual. We achieve there locally, by means of an ultrafilter, a compact X** ^op ; copy of the device that contains all the filters. The union of all the articles contains $X$ and this property, true in the vicinity of each character of a legal act is true in a uniform way on all the compact (the $SOURCES$ of the law of jurisdictional type or not) c. In certain articles of the set of all the articles whose union contains $X$ certain vectors belong to a class of specific processes (1.4). Said class includes the parameters of certain relationships between standards suitable for being part of the network and whose purpose is functionally limited to a determined technical effect. These specific technical processes (1.4) relating to the relations between norms are, by virtue of the relation of equivalence, members of a family (B) of parts of a finite number of characters of a sequence of strings of characters of the text of the legal act of the sources of law (A) recorded in a library of programs describing behaviors of the law which take place in determined places and at a given time, -, in particular native instructions (replace, add, delete, read) likely to be implemented by a computer to produce a homotopy. d. Between two articles of the set of all the articles whose union contains $X$ certain vectors are linked by a relation of citation or mention by means of <labels> functionally limiting the purpose of the said class of specific processes (1.3) They are continuous maps in X**op e. To establish the communication between these two articles, and produce the resulting state of the law, a homotopy during the exchange between two continuous applications (specific processes) completes the network f. The parameters of these relations, these relations and the <labels> can be extracted from X**op, in the form of finite subcoverings capable of forming the network

[Claim 2] The generating family (1.1) according to the preceding claim comprises different sets of characters corresponding to a given order or legal system

[Claim 3] The doer's speech according to claim 1, described by a means of constituting the basic unit of the network and the sets with respect to which the speech can be considered to be heard. including the following kinematics:

1. a material point

2. repositories characterized in that:

1. the base unit of the network is the generating family (1.1) described by a point (v) to which is associated a quantity of said speech constituting a set of coordinates in X** ^op . This point is, in the inner economy of the person's system of the author of the legal act, assimilated to the person object of the author of the legal act, the one about whom it is spoken and by means of which certain relations are able to be part of a network to constitute it. This <capacity> itself escapes rank variation. Its rank, which does not vary, is that of what we are talking about, in other words a rank in coincidence with the third rank. It is the (neutral) logical rank: (rlog) A logical referential of the logical person (I), - without rank by fact of language -, which is part of the interior economy of the system of the person of the author of the legal act a. il = rlog => (rlog(v)) b. The constancy of this third person, under all the ordinal titles of authors of legal acts, is a <capacity> on which rests the simulation of the word of the author of the legal act. This capacity: 1. is implemented by a device of legal accessibility which assigns to this logical person a rank by fact of language of the sources of law in r1 and r3: i. under the speaking person "I" (r1(v)) saying, for example, "This law shall come into immediate effect and be executed as law of the State", there is the law which speaks of him~ : she is therefore also the person of whom it is spoken, therefore third (rlog(v)) under first. ii. Under the person "you" (r2(v)), — the addressee of the legal act, who is also a client when he interrogates the machine —, there is the one to whom we speak, who is also the of which it is spoken to itself, therefore third (rlog(v)) under second. iii. Under the person "he" (r3(v)) who does not speak, and to whom he is not spoken, who is a negative person on the language side, there is a person spoken of, she who is third (rlog(v)) under third.

2. implements one or more functions.

2. Said kinematics of the material point (v) describes the sets with respect to which speech can be considered as being able to be heard and includes frames of reference, in particular manifested by finite subcoverings of X** ^op , following: a. A spatial frame of reference in which the logical person (rlog(v)) is able to traverse a homeomorphism between a vector space X and the ESP X**op passing through the space of linear forms X*, then through topological vector space X**.

1. in the vector space, the following operations are composition laws of the logical person (rlog(v)): i. addition ii. multiplication iii. the calculation of opposites allowing to define the subtraction operator iv. the inverse calculation making it possible to define the division operator, v. said operations being continuous in the form of the operators conc. and avail. The continuous change of the position of a state which can be accompanied by questions of scope, or modes of formation of the legal order

2. Characters add to each other, subtract from strings under internal composition laws b. a frame of reference of first and third persons. Speakers r1(1) and non-speakers r3(v) are exchanged in the legal act. This exchange is described by the enalling commutative group ((rlog, r1, r3) operator)

3. The first person language fact “I” is denoted r1 => (r1(v)) swaps with (rlog(v)); then r1 is indeed the person "I" speaking

4. the fact of language of the third person “he” or “she” is noted r3 => (r3(v)) is exchanged with (sr(v)); then r3 is indeed the person who does not speak, and to whom it is not spoken, who is a person outside language, a negative person on the side of language

5. the fact of language (r1(v)) is exchanged with (r3(v)) and vice versa

6. a repository of the logical person of the author of the legal act

1. Hierarchy of the authors of the act, vertical (hierarchy of unilateral acts) and horizontal (non-jurisdictional and jurisdictional nature of the device: i. the relation of equivalence concerns both the device of the non-jurisdictional legal act than that of the jurisdictional juridical act, particularly useful for interpreting the law

U. The body of the jurisdictional type of the legal act, includes said "disposition" and the reasons such as: the increase $x$ greater than or equal to $y$ and the decrease $x$ less than or equal to $y$. An element $x$ of the jurisdictional type body is an upper bound of the “device” if it is greater than or equal to all the elements of the “device”; in this case, the increased part of the "device" is the motives. An element $x$ of the jurisdictional type body is a lower bound of the “device” if it is less than or equal to all the elements of the “device”; the minus part of the “device” is in this case all or part of the “device”.

2. Signature of the authors of the act, administrative acts, promulgation

7. an applicability repository of the logical person (notably useful for the interpretation operation)

1. of temporal applicability => in space no commutative of functions the temporal scope date of publication date of entry into force iii. date of disappearance iv. etc

2. of spatial applicability => and p i. modes of formation of the legal order ii. local speech (experimentation, local law)

3. material applicability

8. reference material, temporal and spatial application of the person with the rank of language (especially useful for interpretation operations)

9. a categorical frame of reference which, by means of an axiomatic formulation, relates linear combinations or continuous maps to the functions which preserve them and in which the following mathematical groups - comprising a set of which $v$ is an element -, refer to themselves, and morphisms refer to their following homotopy classes:

1. A family of dual structures: i. X ii. X* iii. X** iv. X** ^op

2. Homotopy classes: i. rlog(v)_0 ii. rlog(v)_1 iii. rlog(v)_2

3. the fundamental group:

[Claim 4] Several means, the arrangement of which is specially designed to lend itself to the implementation of the method, comprising:

1. an accessibility device

2. a machine

3. a network

4. a characterized access point, according to phase (II) of IT implementation:

1. by implementing a fundamental group (("he"_0, "he"_1,

and a fundamental group (("I"_0,

2. and in that, said accessibility device (4.1) implementing the fundamental group (riog(v)_0, rlog(v)_1, rlog(v)_2)

, equips said machine (4.2) to simulate the speech of the author of the legal act by means of said network (4.3) accessible to said access point (4.4) to give a recipient knowledge of what the author of the legal act.

3. It admits variants on the one hand, of the basis of the subspaces of linear forms on X*, playing the role of filters, on the other hand, of their position a. the position of the terminals (example of the jurisdictional device) b. the configuration of the position of the endpoints in the character string of the legal act to distinguish r1 from r3

4. the specification of the linear forms that can be carried out in the set of neighborhoods so as to describe r1 as corresponding to the case where the first character of $X$ of the first neighborhood is that of a limit point of three characters ( for the type "Law" of the legal act) which has a position greater than or equal to the filter and the last, a position less than or equal to the filter "State law", and the reverse for r3, the filter " Law of the State" taking the first place, (it is specified that the formula of promulgation: currently, in two parts in the text of the legal act, the first [The National Assembly and the Senate have adopted, The President of the Republic promulgates the law whose content follows: ...] and the second [The present law will be executed as a law of the State. Done in Paris, on ...] to which are added [author of the decree of promulgation and countersignatories ] ). Other variants may be retained, provided that "I" = "passed" = "promulgates" = r1 and "it" = "State law" = "Law" = r3, for example; the string beginning with "adopted" for r1 and with "Law" for r3, for example.

[Claim 5] Legal accessibility device according to claim 3 and 4, comprising:

1. processors

2. recording media

3. a communication system

4. a switch characterized in that:

1. on the one hand, the assistance that the machine provides to the process is part of its internal operation and is described by a specific configuration of said processors, in particular processors r1 and r3, and of said recording media as well as by said system of communication between the processors and the recording media that this machine implements

2. on the other hand, said switch implements the enalling commutative group ((rlog, r1, r3) operator) so that said configuration creates an instance of the network (6.3) between the finite subcovers of two compacts X** ^op1 and X** ^op3 indicating that it is possible to simultaneously measure the exchange of two continuous maps of a locally compact space (ELC) and, the communication system provides the means for an exchange between sub-coverings of these two compacts by means of a class of specific processes to make the client r2 hear the consolidated word of the author.

3. A storage medium contains the sequence of character strings of the text of the legal act of the sources of law by means of which a rank is assigned to the logical person rlog

[Claim 6] Said processor according to claim 5,

1. said processor is vectorial (v) and implements the generating family (1.1), which, <everywhere> in the law sources: a. talks about something that the rlog processor ¹ can update by an inverse operation under the categorical repository duality class to fetch the regular update of the data published in the OJ)

1. a processor in r1 and in r1 ^-1

2. a processor in r3 and in r3 ^-1 b. implements laws of internal composition of the <structure> due to the language of the legal act belonging to the sources of law (3.4.a)

1. addition

2. multiplication

3. the calculation of opposites allowing to define the subtraction operator

4. the inverse calculation allowing to define the division operator,

5. said operations being continuous

6. Characters add to each other, subtract from strings under internal composition laws

7. laws of composition by means of which a machine can calculate states, differentiations, continuous deformations (syntactic isomorphism - syntax of large verbal masses -) c. integrates several functions.

1. a first kind of function makes it possible to enter into coincidence with a rank of language by bearing an ordinal title emanating from the language (3.4.a). This kind of function allows to assign to the logical person (rlog) (3.3) three values: i. a prime rank (r1) of language ii. a second rank (r2) of language iii. a third rank (r3) of language

2. The second kind of function consists in constructing, by means of rank-functions r1(v) and r3(v) of language, a space X isomorphic (up to an isomorphism) to its own space X → X of functions and make an element also a function (up to an isomorphism) and that a function is an element, in X** ^op1 and in X** ^op3

3. The access to the third kind of functions results from the execution of the functions of the second kind and is presented as a noncommutative topological field - space of functions X** ^op . (two bodies

) produced respectively in r1(v) and r3(v).

4. The fourth kind of function implements a class of specific norm-related processes (cpts) by means of vector instructions made of finite subcoverings of functions of the third kind

5. implementation of a program library that implements the class and its update

6. A sixth kind of function, applies one in the other, by homotopy, two continuous applications of the fourth kind during enalling (exchange) by means of a switch

7. The functions of the fourth kind use the reference frames (3.4.b) (3.4.c) (3.4.d) to establish the relations in the network (6.3)

8. The functions of the first through the sixth kind are implemented in the processor, according to the most efficient configuration with respect to processors and storage media d. It establishes the conditions of a network:

1. in a first step, the processor rlog(v) constitutes the vector space X then,

2. in a second, retrieve new coordinates or positions from it, associating with any linear combination of this space, its k-th coordinate in the basis of the algebraic dual X* of the vector space of the following linear forms: Promulgation formula, Law, title, Chapter, Section, Article (Disposition) , endowed with an inclusion relation (decreasing sequence). Neighborhoods are linear shapes that are linear combinations of these coordinate shapes.

3. In the set of neighborhoods obtained after the second step, the implementation specifies which, among these neighborhoods of the algebraic dual X*, is an open of a topology on the set of neighborhoods or is a closed . The implementation specifies that the Article is that open as a device. The neutral-function (rlog) of open and closed (defined as the complement of the open) recovers, in a fourth step, a new - topological - coordinate or position, in the algebraic dual X*, by recovering the images being able to form, in the topological dual X**, the object of open and closed k-linear maps (the complement containing all the properties of the open set). The computer is also told that this recovery is done in the $SOURCES$ of the law and not only in a legal document. The neighborhood obtained is of functions “sufficiently close” for the open ones and “sufficiently close” for the closed ones. Proving that this chain, the neutral-function therefore integrates several coordinates in the space of functions.

4. In the space obtained after the implementation of the third step, the reverse computer, the inclusion relation after specifying the Article (device) as an ultrafilter (collection of filters), to obtain a compact space X** ^op homeomorphic to the vector space X.

5. At the end of the fourth sub-step, an open covering of the $SOURCES$ of the law is a family of open sets 'Article' including its complement by means of an inverted order relation, union equal to the $ SOURCES$ of the law In the language of quotient topology, the quotient of the provisions by the device (the article) is the legal corpus (the sources of the law).

[Claim 7] Use of access to the network, to know the word of the author of the legal act comprising:

1. a terminal

2. telecommunication functions

3. numerical functions characterized in that:

1. said terminal is the access point to the continuous self-enforcement of the law in the network for the author of the legal act, the addressee of the legal act and for the legal professions, and integrates several functions: a. The access of the author of the legal act by means of a dedicated terminal to write this act from the empty string of characters. b. The access of the recipient of the legal act by means of the network implements the logical rank (rlog) which speaks of something by carrying an ordinal title emanating from the language of the person of its user, the recipient r2 of the legal act: an input: 1. a client r2 connects to the network. A function (request) for questioning the speaking person "I" (r1) which will address an input "sufficiently close" to that of the third kind of function of the legal accessibility device and, conversely, the negative person "he" on the side of the language (r3) to create an example of its own state (r2) which it communicates to the terminal if the switch shows the user that it is possible to simultaneously measure the exchange of two continuous applications d a locally compact space for communicating the relevant states vocally or textually to it. <everywhere>, have knowledge of the word of the author of the legal act simulated by the machine c. Access to legal professions

1. the terminal serves as an interface between the legal accessibility device and the various external devices of the legal professions able to connect specifically to the network due to the linear combinations

"sufficiently close" that concern them in X** ^op (electronic administration, digital justice, dematerialization of acts of local authorities)

2. the terminal can in particular have telecommunication functions to share the functions of the logical person (rlog) within private networks, and have private conversations between professionals of the legal professions as well as serve as a connection key to the networks existing private professionals. 3. said functions of the logical person (rlog) facilitate access to legal professions through hardware or software services, including telecommunications functions, digital functions, Web services or dedicated functions such as recording of the results of the measurements carried out by traffic control speedometers, electronic surveillance allowing voice biometric authentication for the purpose of remote verification of the presence of people under electronic surveillance or, serving as a connection key to existing private professional networks. Said functions may be functions of photographs or digitization of professional documents whose name is mentioned in the sources of law, said services are offered in particular by a software library or a web service, offer voice or text or writing services ( for the author of the legal act) or telecommunications via dedicated terminals. More generally, the terminal natively has security protocols dedicated to secure communication with any electronic device created by sources of law to be used professionally in legal professions

4. The logical person (rlog) reduces the human operations of monitoring and maintenance relating to standards

5. the implementation of a function of the sixth kind, to the result of which a terminal has access, eliminates the delay between the publication in the OJ of a modifying official act and the digital accessibility of a consolidated version of the amended act.

6. The implementation of the logical person (constant) facilitates the interoperability of data and legal systems in the legal professions

7. makes it possible to intervene effectively by bringing the solutions not in consideration of the symptoms or of certain effects which one wishes to remedy but on the effects which are likely to produce causes described as non-human operations.

[Claim 8] A network, by means of which, according to any one of the preceding claims, a machine speaks the law by simulating, by continuous self-application, the word of the author of the legal act constituted:

1. of words

2. of sentences

3. paragraphs

4. of paragraphs

5. of acts

6. of titles

7. of chapters

8. of article

9. of a <structure>

10. of <labels>

11. an order

12. "devices"

13. of quotation or reference characterized by an opposable instance of the sources of law, in the memory of the machine, likely to produce new opposable instances, and composed:

1. of the material point as a distinctive element to obtain finite subcovers of X** ^op1 and X** ^op3

2. Continuous mappings (cpts1) and (cpts3) resulting from finite subcoverings, likely to be true or false, of the open covering $X** ^op $, from which it can result a continuous variation (T) of X** ^op X [(0,0), (1,1)] → X** ^op , such that T( v,(0,0))=cpts1(v) and T(v,(1,1))=cpts3(v) where x denotes the breakdown of the language facts of the sources of law on either side of ( 0,0) and (1,1), where cpts1(v) and cpts3(v) are elements which are also functions and, functions which are elements (of the finite subcover) - to which is associated a scalar, and where (0,0) and (1,1) are locations of processors which each manufacture X**op - in particular for the homotopy of sub-coverings, one inside the other,

3. local “devices”, as a locally compact space (LCS) defined as local homeomorphisms between said “devices” (9.12) when the homeomorphism takes place between X** ^op1 and X** ^op3 a. X** ^op1 and X** ^op3 being obtained after the implementation of two phases, one of mathematical specification (I) (4.6.b), the other of computer realization (II) (6.1. b.3 ) of this specification.

4. continuous (transitional) maps between, on the one hand, the local homeomorphisms between the said “devices” (8.12; 8.14), i.e. local “devices” and, on the other hand, a produced instance through operations of consolidation, codification and interpretation; applications ranging from the same to the same, while being different These continuous applications belong to the class of specific processes between the standards (1.3) and take place in particular when a “device” cites or refers to a “device” (8.13) and uses the communication system between the processors and the recording media that this machine implements and in particular the <labels>

5. linear combinations make it possible to obtain the said words (8.1), sentences (8.2), paragraphs (8.3), paragraphs (8.4) which form the linear forms (8.5; 8.6; 8.7; 8.8), the order (8.11 ) and their complement - such as the "device" for the linear form 'Article' (8.12) (ultrafilter) or the object of the law for the linear form 'Law' -, as well as this "device" and its composition complementary closed in topology a. A recording medium (main memory) where the machine can, by means of the device of legal accessibility, write all the legal act by linear combination by means of the laws of internal composition of the processors. The machine can also write the elements of the class of specific processes, to apply them using a library of programs which contains parameters in particular relating to the mention (object between quotation marks)

6. linear combinations make it possible to obtain information of a temporal order which are moments including in particular: a. the proper temporality of a noncommutative topological field b. timing of customer input c. timing of inputs from external devices

7. <labels> which establish in the network: a. a correspondence between a certain quantity of speech of the material point and:

1. a source

2. a target

3. the image, in the source, of a target,

4. an object, in quotation marks, consisting of the words themselves

5. an order b. a correspondence between two distinct quantities of speech 1. a quotation or reference and the quoted or referenced “device”

2. a downgrade and the downgrade

3. effective date and rescission or repeal c. a correspondence between two linear combinations of distinct open sets (interpretation) d. in a general way, a potential correspondence between any closed set where all the properties of a determined “device” are found and any “device” of the $sources$.

8. Ways of a Path to Model Variation continuum of a "device" in the applicability frame of reference (3.4.d), in particular a system of equations to decide that in the presence of a language fact of a certain type, a sub-covering applies a sub- overlap, to an under-overlap, to cause an under-overlap still belonging to the network.

9. Functions of the fourth kind (6.1.c.4) implementing a class of specific norm-related processes (cpts) by means of vector instructions made of finite subcoverings of functions of the third kind (6.1.c. 3)

10. functions of the sixth kind (6.1.c.6) applying one in the other, by homotopy, two continuous applications of the fourth kind during enallage (exchange) by means of a commutator

[Claim 9] Particular embodiment of the consolidation according to claim 8, consisting of:

1. a source

2. a target

3. the image, in the source, of the target

4. native instructions

5. an object, in quotation marks, consisting of the words themselves, characterized by:

1. a collection of instructions which are executed by a machine to realize said native instructions

2. for said consolidation, said instructions - the source, the target, the image of the target in the source, the object -, and the native instructions are finite subcoverings of an open covering X ** ^op whose computer writing implements the meaning and the laws of internal composition in the following way: a. for a source to reach a target and said target, said source, the program uses the internal composition laws of multiplication and division. A target ELC is multiplied by the number of source ELCs in its image. At each step of a target image, the native instructions are performed. At any stage the result which is a dividend can be inversely divided by any number of source ELCs of the target image. And the quotient, being in turn. b. so that the program performs said native instructions on said objects each time an image of the target is reached, the internal composition laws of addition and subtraction are used. The association of said native instructions, which are finite subcovers, with addition or subtraction depends on the meaning of the corresponding finite subcovers - "the following way ... replaced by ...""cancels" c . so that the image in the source of the target is associated with the execution of said native instructions, a communication system is used.

3. For the said codification and interpretation of the specific libraries group together the finite sub-coverings corresponding to the said instructions.