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Thierry Coquand
Thierry Coquand (; born 18 April 1961 in Jallieu, Isère, France) is a professor in computer science at the University of Gothenburg, known for his work in constructive mathematics, especially the calculus of constructions. He received his Ph.D. under the supervision of Gérard Huet. See also * Coq * Girard's paradox External links Academic homepage * {{DEFAULTSORT:Coquand, Thierry French computer scientists École Normale Supérieure alumni 20th-century French mathematicians 21st-century French mathematicians University of Gothenburg faculty 1961 births Living people ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Thierry Coquand (cropped)
Thierry Coquand (; born 18 April 1961 in Bourgoin-Jallieu, Isère, France) is a French computer scientist and mathematician who is currently a professor of computer science at the University of Gothenburg, having previously worked at INRIA. He is known for his work in constructive mathematics, especially the calculus of constructions. He received his Ph.D. under the supervision of Gérard Huet, another academic who has experience in both mathematics and computer science. According to the Association for Computing Machinery#Portal and Digital Library, ACM Digital Library, his first published article was a 1985 collaboration with Huet titled "Constructions: A Higher Order Proof System for Mechanizing Mathematics". Coquand and Huet published another joint article in September of that year which further expanded on their ideas regarding constructive mathematics. In the following year, 1986, Coquand published a noteworthy paper about Girard's paradox in the System U logic system. Since ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Isère
Isère ( , ; frp, Isera; oc, Isèra, ) is a landlocked department in the southeastern French region of Auvergne-Rhône-Alpes. Named after the river Isère, it had a population of 1,271,166 in 2019.Populations légales 2019: 38 Isère INSEE Its prefecture is . It borders to the northwest, to the north, |
Computer Science
Computer science is the study of computation, automation, and information. Computer science spans theoretical disciplines (such as algorithms, theory of computation, information theory, and automation) to Applied science, practical disciplines (including the design and implementation of Computer architecture, hardware and Computer programming, software). Computer science is generally considered an area of research, academic research and distinct from computer programming. Algorithms and data structures are central to computer science. The theory of computation concerns abstract models of computation and general classes of computational problem, problems that can be solved using them. The fields of cryptography and computer security involve studying the means for secure communication and for preventing Vulnerability (computing), security vulnerabilities. Computer graphics (computer science), Computer graphics and computational geometry address the generation of images. Progr ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
University Of Gothenburg
The University of Gothenburg ( sv, Göteborgs universitet) is a university in Sweden's second largest city, Gothenburg. Founded in 1891, the university is the third-oldest of the current Swedish universities and with 37,000 students and 6000 staff members it is one of the largest universities in the Nordic countries. About With its eight faculties and 38 departments, the University of Gothenburg is one of the most wide-ranging and versatile universities in Sweden. Its eight faculties offer training in the Creative Arts, Social Sciences, Natural Sciences, Humanities, Education, Information Technology, Business, Economics and Law, and Health Sciences. The University of Gothenburg has the highest number of applicants per study place in many of its subjects and courses, making it one of the most popular universities in Sweden. History The University of Gothenburg was founded as ''Göteborgs högskola'' (Gothenburg University College) in 1891. In 1907 it was granted the same s ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Constructive Mathematics
In the philosophy of mathematics, constructivism asserts that it is necessary to find (or "construct") a specific example of a mathematical object in order to prove that an example exists. Contrastingly, in classical mathematics, one can prove the existence of a mathematical object without "finding" that object explicitly, by assuming its non-existence and then deriving a contradiction from that assumption. Such a proof by contradiction might be called non-constructive, and a constructivist might reject it. The constructive viewpoint involves a verificational interpretation of the existential quantifier, which is at odds with its classical interpretation. There are many forms of constructivism. These include the program of intuitionism founded by Brouwer, the finitism of Hilbert and Bernays, the constructive recursive mathematics of Shanin and Markov, and Bishop's program of constructive analysis. Constructivism also includes the study of constructive set theories such as CZF ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Calculus Of Constructions
In mathematical logic and computer science, the calculus of constructions (CoC) is a type theory created by Thierry Coquand. It can serve as both a typed programming language and as constructive foundation for mathematics. For this second reason, the CoC and its variants have been the basis for Coq and other proof assistants. Some of its variants include the calculus of inductive constructions (which adds inductive types), the calculus of (co)inductive constructions (which adds coinduction), and the predicative calculus of inductive constructions (which removes some impredicativity). General traits The CoC is a higher-order typed lambda calculus, initially developed by Thierry Coquand. It is well known for being at the top of Barendregt's lambda cube. It is possible within CoC to define functions from terms to terms, as well as terms to types, types to types, and types to terms. The CoC is strongly normalizing, and hence consistent. Usage The CoC has been developed alongsi ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Gérard Huet
Gérard Pierre Huet (; born 7 July 1947) is a French computer scientist, linguist and mathematician. He is senior research director at INRIA and mostly known for his major and seminal contributions to type theory, programming language theory and to the theory of computation. Biography Gérard Huet graduated from the Université Denis Diderot (Paris VII), Case Western Reserve University, and the Université de Paris. He is senior research director at INRIA, a member of the French Academy of Sciences, and a member of Academia Europaea. Formerly he was a visiting professor at Asian Institute of Technology in Bangkok, a visiting professor at Carnegie Mellon University, and a guest researcher at SRI International. He is the author of a unification algorithm for simply typed lambda calculus, and of a complete proof method for Church's theory of types ( constrained resolution). He worked on the Mentor program editor in 1974–1977 with Gilles Kahn. He worked on the Knuth ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Girard's Paradox
In mathematical logic, System U and System U− are pure type systems, i.e. special forms of a typed lambda calculus with an arbitrary number of sorts, axioms and rules (or dependencies between the sorts). They were both proved inconsistent by Jean-Yves Girard in 1972. This result led to the realization that Martin-Löf's original 1971 type theory was inconsistent as it allowed the same "Type in Type" behaviour that Girard's paradox exploits. Formal definition System U is defined as a pure type system with * three sorts \; * two axioms \; and * five rules \. System U− is defined the same with the exception of the (\triangle, \ast) rule. The sorts \ast and \square are conventionally called “Type” and “ Kind”, respectively; the sort \triangle doesn't have a specific name. The two axioms describe the containment of types in kinds (\ast:\square) and kinds in \triangle (\square:\triangle). Intuitively, the sorts describe a hierarchy in the ''nature'' of the terms. # ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
French Computer Scientists
French (french: français(e), link=no) may refer to: * Something of, from, or related to France ** French language, which originated in France, and its various dialects and accents ** French people, a nation and ethnic group identified with France ** French cuisine, cooking traditions and practices Fortnite French places Arts and media * The French (band), a British rock band * "French" (episode), a live-action episode of ''The Super Mario Bros. Super Show!'' * ''Française'' (film), 2008 * French Stewart (born 1964), American actor Other uses * French (surname), a surname (including a list of people with the name) * French (tunic), a particular type of military jacket or tunic used in the Russian Empire and Soviet Union * French's, an American brand of mustard condiment * French catheter scale, a unit of measurement of diameter * French Defence, a chess opening * French kiss, a type of kiss involving the tongue See also * France (other) * Franch, a surname * Fren ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
École Normale Supérieure Alumni , a Japanese video-games developer/publisher
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École may refer to: * an elementary school in the French educational stages normally followed by secondary education establishments (collège and lycée) * École (river), a tributary of the Seine flowing in région Île-de-France * École, Savoie, a French commune * École-Valentin, a French commune in the Doubs département * Grandes écoles, higher education establishments in France * The École, a French-American bilingual school in New York City Ecole may refer to: * Ecole Software This is a list of Notability, notable video game companies that have made games for either computers (like PC or Mac), video game consoles, handheld or mobile devices, and includes companies that currently exist as well as now-defunct companies. ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
21st-century French Mathematicians
The 1st century was the century spanning AD 1 ( I) through AD 100 ( C) according to the Julian calendar. It is often written as the or to distinguish it from the 1st century BC (or BCE) which preceded it. The 1st century is considered part of the Classical era, epoch, or historical period. The 1st century also saw the appearance of Christianity. During this period, Europe, North Africa and the Near East fell under increasing domination by the Roman Empire, which continued expanding, most notably conquering Britain under the emperor Claudius ( AD 43). The reforms introduced by Augustus during his long reign stabilized the empire after the turmoil of the previous century's civil wars. Later in the century the Julio-Claudian dynasty, which had been founded by Augustus, came to an end with the suicide of Nero in AD 68. There followed the famous Year of Four Emperors, a brief period of civil war and instability, which was finally brought to an end by Vespasian, ninth Roman emper ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
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