Among other things, linear logic is said to be a resourceconscious logic and a logic of actions. View yves girards profile on linkedin, the worlds largest professional community. If you have additional information or corrections regarding this mathematician, please use the update form. Contribute to rossantawesomemath development by creating an account on github. Jeanyves girard, linear logic, theoretical computer science 50. Scaling by limiting protocol traffic to active nodes. Systems in the calculus of structures have all the symmetries of the. Linear negation is therefore more primitive, but also stronger i. See the complete profile on linkedin and discover jeanmarc. Inspired by the quantitative semantics of jean yves girard, we give a characterization of the morphisms of the cokleisly category of the corresponding comonad this category is.
Sorts can run in parallel, and the merge itself can be parallelized. A very rough introduction to linear logic john wickerson. Girard additionally proved a representation theorem. Pr oofs and types jean yves girard t ranslate d and with app endic es by p a ul t a ylor yves laf ont cambridge university press cambridge new y ork new r ochel le melb ourne sydney. It is based on some of the most recent theories in logic, such as linear logic and ludics, first created by jeanyves girard, and it also provides some sharp. Jeanyves girard cnrs, iml, marseille interdire ou refuter. Dame pauline green, president of the international.
Expert in collectives enterprises such coop and npo and having more than 25 years of experience in teaching and research in university in canada and africa universite senghor, jeanpierre girard develop a special interest for such organisation in health and social care field since 1996 under. And mimetic desire rene girard stanford university a. Rene girard, james williams, and the genesis of violence. Quantitative semantics revisited extended abstract. A very rough introduction to linear logic github pages. From the rules of logic to the logic of rules volume 11 issue 3 jean yves girard skip to main content we use cookies to distinguish you from other users and to provide you with a better experience on our websites.
C hapt er 5 sequen t c al cul us the sequent calculus, due to gen tzen, is the prettiest illustration of the symmetries. Within the framework of generative lexicon theory gl we address some problems which subtype coercion poses for the type theory of classical formal semantics exemplified by prenominal genitive constructions and the coercion of sortal nouns into relational readings in such constructions. Join facebook to connect with jeanyves girard and others you may know. With builtin integers, and a parallel merge, it has onlogn work and olog2 n span n jaj 1. Again, there has been and continues to be a huge amount of research in the area, and together the work has led to several turing awards. Jean yves girard, proof theory and logical complexity helmut pfeifer. View the profiles of professionals named yves girard on linkedin. According to girard girard 1995, it should be viewed as an extension of classical logic, rather. In two previous papers, we exposed a combinatorial approach to the program of geometry of interaction goi, a program initiated by jean yves girard which aims at giving a semantics of proofs that. Notre dame and the culture it inspired from matisse to the. Ken block drives the all new extreme e electric racecar in last stage of dakar rally duration. According to our current online database, jeanyves girard has 14 students and 41. Jeanyves girard 6 locativespiritual would have made part 1 quite arid.
The present introduction emphasises foundational issues. Although the logic has also been studied for its own sake, more broadly. Rene girard, james williams, and the genesis of violence bruce chilton bard college annandale, new york 12504 rene girard, sacrifice, and scripture rene girard has developed a bold synthesis which relates sacrifice, the place of desire in human society, and the revelatory value of the bible. Ludics 1 is a novel approach to logic especially prooftheory. The most widespread and spectacular at this moment is the most recently identified, the socalled bulimia nervosa, characterized by binge eating followed by purging, sometimes through.
See the complete profile on linkedin and discover yves connections and jobs at similar companies. Algorithmic calculus for the design, analysis, and. Linear logic was introduced by girard in the 1980s 22 and it has been the subject of active research ever since, in both computer science and mathematical logic. The textual content of this image is harassing me or someone i know. Linear logic girard, 1987 proposes for proofs a more compact and. Notre dame and the culture it inspired from matisse to. Galerie bilderweltgetty images the only solace one might take from the horrific fire is that it is merely the latest chapter in a.
Jean yves girard born 1947 is a french logician working in proof theory. This is why i preferred to split theanalyticsbetweenitsdeterministicversionwhichisalmostselfcontainedaslongas wedealwithmultiplicativeandexponentials,anditsgeneral,nondeterministicversion gir16whichenablesonetohandle,say,additives. Linear logic 96 tokyo meeting 29 march2 april 1996 mita campus, keio university, tokyo. Typed lambda calculi and applications, 4th international conference, tlca99, laquila, italy, april 79, 1999, proceedings. The girard reynolds isomorphism second edition philip wadler. Jean yves girard, a great logician, also has a lot of quarrels to pick with analytic philosophy. Failure detection using gpfs disk leasingheartbeating outside that set of machines. Rene girard and the dynamics of imitation, scapegoating, and renunciative identification. And mimetic desire rene girard stanford university a mong younger women, eating disorders are reaching epidemic proportions. A response to richard boyd robert brooke richard boyds reading student resistance and his earlier jac article imitate me.
The origins and motivations of univalent foundations. The complexity of interaction long version request pdf. They were both proved inconsistent by jeanyves girard in 1972. Jeanyves girard born 1947 is a french logician working in proof theory. View the profiles of people named jean yves gerard. Jeanyves girard, a great logician, also has a lot of. Whether youve loved the book or not, if you give your honest and detailed thoughts then people will find new books that are right for them. Advances in linear logic 222 london mathematical society lecture notes edited by jean yves girard, yves lafont, and laurent regnier cnrs, marseille. Jean yves had mentioned the notes to paul at a conference, who obtained them and took them to read on the train on a visit to his parents. Jeanyves girardthe blind spot lectures on logic author. I alluded to his earlier work in ludics above, when talking about dialectical interaction. According to our current online database, jeanyves girard has 14 students and 41 descendants. The familiar connective of negation is broken into two operations. In categories in computer science and logic, pages 69 108, providence, 1989.
See the history of this page for a list of all contributions to it. Lcf and type theory, and jean yves girard and john c. Other readers will always be interested in your opinion of the books youve read. According to our current online database, jean yves girard has 14 students and 41 descendants. One of the wild hopes that this suggests is the possibility of a direct connection with quantum mechanics but lets not. His contributions include a proof of strong normalization in a system of secon. Eating disorders and mimetic desire rene girard contagion. A very rough introduction to linear logic john wickerson, imperial college london multicore group seminar january 7, 2014 john wickerson, imperial college london linear logic. The girard reynolds isomorphism second edition philip wadler university of edinburgh abstract jean yves girard and john reynolds independently discovered the secondorder polymorphic lambda calculus, f2. Proofs and types jean yves girard, yves lafont and paul taylor 198790. Caml caml, the reference manual, projet formel, inriaens paris, 1987. The formal deduction system of the proof assistant coq is a direct descendant of cic. Prot proofs and types jeanyves girard, yves lafont.
This work was almost all based on churchs calculus and logical formalism. Uid mapping for file access control on remote nodes. Rene girard and the dynamics of imitation, scapegoating, and. Linear logic introduced by jean yves girard in 1987 classical logic. On the meaning of logical rules ii jeanyves girard. On type coercion in compositional and lexical semantics. Jean yves girard, the blind spot contents 1 introduction 2 2 a sketch of linear logic proofs as algorithms 3 3 programs, algorithms and the. Oct 16, 2019 a curated list of awesome mathematics resources. Linear logic is a substructural logic proposed by jeanyves girard as a refinement of classical and intuitionistic logic, joining the dualities of the former with many of the constructive properties of the latter. His prose is idiosyncratic, lyrical and definitely at odds with the dryness of logic of the 20th century. Journal of violence, mimesis, and culture, volume 3, spring 1996, pp.
For instance, classical logic is imposed, by assuming weakening w, contraction c, and exchange e cf. He is the research director at the mathematical institute of the university of aixmarseille, at luminy. According to our current online database, jean yves girard has 14 students and 40 descendants. Contribute to steshawplt development by creating an account on github. For many readers, especially students being introduced to girard s thought, it would be very helpful to read first the biographical sketch of girard pp. The theory of polymorphism and data abstraction was developed by jeanyves girard and john c. Jean yves girard and john reynolds independently discovered the secondorder polymorphic lambda calculus, f2. Only personal attacks are removed, otherwise if its just content you find offensive, you are free to browse other websites. It is based on some of the most recent theories in logic, such as linear logic and ludics, first created by jeanyves girard, and it also provides some sharp analyses of computational semantical representations, explaining advanced theories in theoretical computer sciences, such as the lambdamu and lambekgrishin calculi which were applied. Generation, lambek calculus, montagues semantics and.
In particular, when combining two flows, one must always. The second component of univalent foundations, the structure that provides a direct meaning to the sentences of cic, is based on univalent models. Advances in linear logic jeanyves girard, yves lafont. Lcf and type theory, and jeanyves girard and john c. Girard, jean yves towards a geometry of interaction, to appear in proceedings of ams conference on categories, logic and computer science, held in boulder, co, in. Gir87b jeanyves girard, proof theory and logical complexity, volume 1 of. Intuitively, w corresponds to the monotonicity of the entailment, c. Join facebook to connect with jean yves gerard and others you may know. Dont imitate me have convinced me that rene girards theory of mimetic desire may have much to teach us about the. The structural rules of the sequent calculus determine the behavior of logical connectives.
That is, after reading girard s cryptic and tantalizing offhand remarks, you are dying to know what on earth he is talking about. A geometrical procedure for computing relaxation request pdf. Lecture notes in computer science 1581, springer 1999, isbn 3540657630. View jeanmarc girards profile on linkedin, the worlds largest professional community.
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