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Author : J. Y. Girard
Publisher :
ISBN 13 :
Total Pages : 54 pages
Book Rating : 4.F/5 ( download)
Download or read book Three-valued Logic and Cut-elimination written by J. Y. Girard and published by . This book was released on 1976 with total page 54 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : J.Y. Girard
Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (473 download)
Download or read book Three-valued Logic and Cut-elimination: The Actual Meaning Og Takeuti's Conjecture written by J.Y. Girard and published by . This book was released on 1976 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Morten Heine Sørensen
Publisher : Elsevier
ISBN 13 : 0080478921
Total Pages : 457 pages
Book Rating : 4.0/5 (84 download)
Download or read book Lectures on the Curry-Howard Isomorphism written by Morten Heine Sørensen and published by Elsevier. This book was released on 2006-07-04 with total page 457 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Curry-Howard isomorphism states an amazing correspondence between systems of formal logic as encountered in proof theory and computational calculi as found in type theory. For instance,minimal propositional logic corresponds to simply typed lambda-calculus, first-order logic corresponds to dependent types, second-order logic corresponds to polymorphic types, sequent calculus is related to explicit substitution, etc.The isomorphism has many aspects, even at the syntactic level:formulas correspond to types, proofs correspond to terms, provability corresponds to inhabitation, proof normalization corresponds to term reduction, etc.But there is more to the isomorphism than this. For instance, it is an old idea---due to Brouwer, Kolmogorov, and Heyting---that a constructive proof of an implication is a procedure that transformsproofs of the antecedent into proofs of the succedent; the Curry-Howard isomorphism gives syntactic representations of such procedures. The Curry-Howard isomorphism also provides theoretical foundations for many modern proof-assistant systems (e.g. Coq).This book give an introduction to parts of proof theory and related aspects of type theory relevant for the Curry-Howard isomorphism. It can serve as an introduction to any or both of typed lambda-calculus and intuitionistic logic.Key features- The Curry-Howard Isomorphism treated as common theme- Reader-friendly introduction to two complementary subjects: Lambda-calculus and constructive logics- Thorough study of the connection between calculi and logics- Elaborate study of classical logics and control operators- Account of dialogue games for classical and intuitionistic logic- Theoretical foundations of computer-assisted reasoning· The Curry-Howard Isomorphism treated as the common theme.· Reader-friendly introduction to two complementary subjects: lambda-calculus and constructive logics · Thorough study of the connection between calculi and logics.· Elaborate study of classical logics and control operators.· Account of dialogue games for classical and intuitionistic logic.· Theoretical foundations of computer-assisted reasoning
Author : A. S. Troelstra
Publisher : Cambridge University Press
ISBN 13 : 9780521779111
Total Pages : 436 pages
Book Rating : 4.7/5 (791 download)
Download or read book Basic Proof Theory written by A. S. Troelstra and published by Cambridge University Press. This book was released on 2000-07-27 with total page 436 pages. Available in PDF, EPUB and Kindle. Book excerpt: This introduction to the basic ideas of structural proof theory contains a thorough discussion and comparison of various types of formalization of first-order logic. Examples are given of several areas of application, namely: the metamathematics of pure first-order logic (intuitionistic as well as classical); the theory of logic programming; category theory; modal logic; linear logic; first-order arithmetic and second-order logic. In each case the aim is to illustrate the methods in relatively simple situations and then apply them elsewhere in much more complex settings. There are numerous exercises throughout the text. In general, the only prerequisite is a standard course in first-order logic, making the book ideal for graduate students and beginning researchers in mathematical logic, theoretical computer science and artificial intelligence. For the new edition, many sections have been rewritten to improve clarity, new sections have been added on cut elimination, and solutions to selected exercises have been included.
Author : Jozef Kelemen
Publisher : Springer Science & Business Media
ISBN 13 : 9783540545071
Total Pages : 276 pages
Book Rating : 4.5/5 (45 download)
Download or read book Fundamentals of Artificial Intelligence Research written by Jozef Kelemen and published by Springer Science & Business Media. This book was released on 1991-08-28 with total page 276 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains 6 invited lectures and 13 submitted contributions to the scientific programme of the international workshop Fundamentals of Artificial Intelligence Research, FAIR '91, held at Smolenice Castle, Czechoslovakia, September 8-12, 1991, under the sponsorship of the European Coordinating Committee for Artificial Intelligence, ECCAI. FAIR'91, the first of an intended series of international workshops, addresses issues which belong to the theoretical foundations of artificial intelligence considered as a discipline focused on concise theoretical description of some aspects of intelligence by toolsand methods adopted from mathematics, logic, and theoretical computer science. The intended goal of the FAIR workshops is to provide a forum for the exchange of ideas and results in a domain where theoretical models play an essential role. It is felt that such theoretical studies, their development and their relations to AI experiments and applications have to be promoted in the AI research community.
Author : Can Başkent
Publisher : Springer Nature
ISBN 13 : 3030253651
Total Pages : 704 pages
Book Rating : 4.0/5 (32 download)
Download or read book Graham Priest on Dialetheism and Paraconsistency written by Can Başkent and published by Springer Nature. This book was released on 2020-01-01 with total page 704 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents the state of the art in the fields of formal logic pioneered by Graham Priest. It includes advanced technical work on the model and proof theories of paraconsistent logic, in contributions from top scholars in the field. Graham Priest’s research has had a considerable influence on the field of philosophical logic, especially with respect to the themes of dialetheism—the thesis that there exist true but inconsistent sentences—and paraconsistency—an account of deduction in which contradictory premises do not entail the truth of arbitrary sentences. Priest’s work has regularly challenged researchers to reappraise many assumptions about rationality, ontology, and truth. This book collects original research by some of the most esteemed scholars working in philosophical logic, whose contributions explore and appraise Priest’s work on logical approaches to problems in philosophy, linguistics, computation, and mathematics. They provide fresh analyses, critiques, and applications of Priest’s work and attest to its continued relevance and topicality. The book also includes Priest’s responses to the contributors, providing a further layer to the development of these themes .
Author : J. Diller
Publisher : Springer
ISBN 13 : 3540380205
Total Pages : 393 pages
Book Rating : 4.5/5 (43 download)
Download or read book ISILC - Proof Theory Symposion written by J. Diller and published by Springer. This book was released on 2006-11-14 with total page 393 pages. Available in PDF, EPUB and Kindle. Book excerpt: a
Author : Guttorm Fløistad
Publisher : Springer Science & Business Media
ISBN 13 : 9400983565
Total Pages : 407 pages
Book Rating : 4.4/5 (9 download)
Download or read book Tome 1 Philosophie du langage, Logique philosophique / Volume 1 Philosophy of language, Philosophical logic written by Guttorm Fløistad and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 407 pages. Available in PDF, EPUB and Kindle. Book excerpt: The present publication is a continuation of two earlier series of chronicles, Philosophy in the Mid-Century (Firenze 1958/59) and Contemporary Philosophy (Firenze 1968), edited by Raymond KJibansky. As with the earlier series the present chronicles purport to give a survey of significant trends in contemporary philosophi cal discussion. The time space covered by the present series is (approximately) 1966-1978. The need for such surveys has, I believe, increased rather than decreased over the last years. The philosophical scene appears, for various reasons, more complex than ever before. The continuing process of specialization in most branches, the emergence of new schools of thought, particularly in philosophical logic and the philosophy of language, the convergence of interest (though not necessarily of opinion) of different traditions upon certain prob lems, and the increasing attention being paid to the history of philosophy in discussions of contemporary problems are the most important contributory factors. Surveys of the present kind are a valuable source of knowledge of this complexity and may as such be an assistance in renewing the understanding of one's own philosophical problems. The surveys, it is to be hoped, may also help to strengthen the Socratic element of modem philosophy, the dialogue or Kommu nikationsgemeinschajt. So far, four volumes have been prepared for the new series. The present chronicles in the Philosophy of Language and Philosophi cal Logic (Vol. I), are followed by chronicles in the Philosophy of Science (Vol. II), and Philosophy of Action (Vol.
Author : Luca Tranchini
Publisher : Springer Nature
ISBN 13 : 3031469216
Total Pages : 190 pages
Book Rating : 4.0/5 (314 download)
Download or read book Harmony and Paradox written by Luca Tranchini and published by Springer Nature. This book was released on with total page 190 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Andrzej Pelc
Publisher :
ISBN 13 :
Total Pages : 60 pages
Book Rating : 4.3/5 (121 download)
Download or read book Invariant Measures and Ideals on Discrete Groups written by Andrzej Pelc and published by . This book was released on 1986 with total page 60 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Heinz-Dieter Ebbinghaus
Publisher : Springer Science & Business Media
ISBN 13 : 3662090589
Total Pages : 653 pages
Book Rating : 4.6/5 (62 download)
Download or read book Ω-Bibliography of Mathematical Logic written by Heinz-Dieter Ebbinghaus and published by Springer Science & Business Media. This book was released on 2013-06-29 with total page 653 pages. Available in PDF, EPUB and Kindle. Book excerpt: Gert H. Müller The growth of the number of publications in almost all scientific areas, as in the area of (mathematical) logic, is taken as a sign of our scientifically minded culture, but it also has a terrifying aspect. In addition, given the rapidly growing sophistica tion, specialization and hence subdivision of logic, researchers, students and teachers may have a hard time getting an overview of the existing literature, partic ularly if they do not have an extensive library available in their neighbourhood: they simply do not even know what to ask for! More specifically, if someone vaguely knows that something vaguely connected with his interests exists some where in the literature, he may not be able to find it even by searching through the publications scattered in the review journals. Answering this challenge was and is the central motivation for compiling this Bibliography. The Bibliography comprises (presently) the following six volumes (listed with the corresponding Editors): I. Classical Logic W. Rautenberg 11. Non-classical Logics W. Rautenberg 111. Model Theory H.-D. Ebbinghaus IV. Recursion Theory P.G. Hinman V. Set Theory A.R. Blass VI. ProofTheory; Constructive Mathematics J.E. Kister; D. van Dalen & A.S. Troelstra.
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Author : Andrzej Kłopotowski
Publisher :
ISBN 13 :
Total Pages : 70 pages
Book Rating : 4.E/5 ( download)
Download or read book Limit Theorems for Sums of Dependent Random Vectors in R[superscript D] written by Andrzej Kłopotowski and published by . This book was released on 1977 with total page 70 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : K. Szymiczek
Publisher :
ISBN 13 :
Total Pages : 72 pages
Book Rating : 4.F/5 ( download)
Download or read book Quadratic Forms Over Fields written by K. Szymiczek and published by . This book was released on 1977 with total page 72 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Wiktor Szczyrba
Publisher :
ISBN 13 :
Total Pages : 92 pages
Book Rating : 4.F/5 ( download)
Download or read book On the Geometric Structure of the Set of Solutions of Einstein Equations written by Wiktor Szczyrba and published by . This book was released on 1977 with total page 92 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : José García-Cuerva
Publisher :
ISBN 13 :
Total Pages : 68 pages
Book Rating : 4.F/5 ( download)
Download or read book Weighted Hp Spaces written by José García-Cuerva and published by . This book was released on 1979 with total page 68 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : V. M. Bogdan
Publisher :
ISBN 13 :
Total Pages : 78 pages
Book Rating : 4.F/5 ( download)
Download or read book Topological Rings of Sets and the Theory of Vector Measures written by V. M. Bogdan and published by . This book was released on 1978 with total page 78 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : E. Michael
Publisher :
ISBN 13 :
Total Pages : 56 pages
Book Rating : 4.E/5 ( download)
Download or read book A-spaces and Countably Bi-quotient Maps written by E. Michael and published by . This book was released on 1976 with total page 56 pages. Available in PDF, EPUB and Kindle. Book excerpt:
