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Lectures On The Curry Howard Isomorphism


Lectures On The Curry Howard Isomorphism
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Lectures On The Curry Howard Isomorphism


Lectures On The Curry Howard Isomorphism
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Author : Morten Heine Sørensen
language : en
Publisher: Elsevier
Release Date : 2006-07-04

Lectures On The Curry Howard Isomorphism written by Morten Heine Sørensen and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-07-04 with Mathematics categories.


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



Lectures On The Curry Howard Isomorphism


Lectures On The Curry Howard Isomorphism
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Author : Morten Heine B. Sørensen
language : en
Publisher:
Release Date : 1998

Lectures On The Curry Howard Isomorphism written by Morten Heine B. Sørensen and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1998 with Isomorphisms (Mathematics) categories.




Rapport


Rapport
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Author :
language : un
Publisher:
Release Date : 1998

Rapport written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1998 with categories.




The Curry Howard Isomorphism


The Curry Howard Isomorphism
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Author : Philippe De Groote
language : en
Publisher:
Release Date : 1995

The Curry Howard Isomorphism written by Philippe De Groote and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1995 with Mathematics categories.




Proofs And Research Programmes Lakatos At 100


Proofs And Research Programmes Lakatos At 100
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Author : Roman Frigg
language : en
Publisher: Springer Nature
Release Date : 2025-08-10

Proofs And Research Programmes Lakatos At 100 written by Roman Frigg and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2025-08-10 with Science categories.


This open access book offers new insights into issues raised in philosophy of mathematics and in philosophy of science by Imre Lakatos. Lakatos was one of the most significant philosophers of the 20th Century, and his ideas remain important and relevant today. November 2022 saw the centenary of Lakatos’s birth, and the event was marked by an international conference held at the LSE – where Lakatos made his career after he had emigrated from Hungary to England. This volume consists of a selection of papers presented at the conference along with two additional contributions to debates about Lakatos’s continuing influence and importance.



Advances In Computational Intelligence


Advances In Computational Intelligence
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Author : Ildar Batyrshin
language : en
Publisher: Springer
Release Date : 2019-01-02

Advances In Computational Intelligence written by Ildar Batyrshin and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-01-02 with Computers categories.


The two-volume set LNAI 11288 and 11289 constitutes the proceedings of the 17th Mexican International Conference on Artificial Intelligence, MICAI 2018, held in Guadalajara, Mexico, in October 2018. The total of 62 papers presented in these two volumes was carefully reviewed and selected from 149 submissions. The contributions are organized in topical as follows: Part I: evolutionary and nature-inspired intelligence; machine learning; fuzzy logic and uncertainty management. Part II: knowledge representation, reasoning, and optimization; natural language processing; and robotics and computer vision.



The International Encyclopedia Of Communication Theory And Philosophy 4 Volume Set


The International Encyclopedia Of Communication Theory And Philosophy 4 Volume Set
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Author : Klaus Bruhn Jensen
language : en
Publisher: John Wiley & Sons
Release Date : 2016-10-31

The International Encyclopedia Of Communication Theory And Philosophy 4 Volume Set written by Klaus Bruhn Jensen and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-10-31 with Language Arts & Disciplines categories.


The International Encyclopedia of Communication Theory and Philosophy is the definitive single-source reference work on the subject, with state-of-the-art and in-depth scholarly reflection on key issues from leading international experts. It is available both online and in print. A state-of-the-art and in-depth scholarly reflection on the key issues raised by communication, covering the history, systematics, and practical potential of communication theory Articles by leading experts offer an unprecedented level of accuracy and balance Provides comprehensive, clear entries which are both cross-national and cross-disciplinary in nature The Encyclopedia presents a truly international perspective with authors and positions representing not just Europe and North America, but also Latin America and Asia Published both online and in print Part of The Wiley Blackwell-ICA International Encyclopedias of Communication series, published in conjunction with the International Communication Association. Online version available at www.wileyicaencyclopedia.com



Computer Science Logic


Computer Science Logic
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Author : Jacques Duparc
language : en
Publisher: Springer
Release Date : 2007-08-24

Computer Science Logic written by Jacques Duparc and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-08-24 with Computers categories.


This book constitutes the refereed proceedings of the 21st International Workshop on Computer Science Logic, CSL 2007, held as the 16th Annual Conference of the EACSL in Lausanne, Switzerland. The 36 revised full papers presented together with the abstracts of six invited lectures are organized in topical sections on logic and games, expressiveness, games and trees, logic and deduction, lambda calculus, finite model theory, linear logic, proof theory, and game semantics.



Automated Reasoning


Automated Reasoning
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Author : Nicolas Peltier
language : en
Publisher: Springer Nature
Release Date : 2020-06-29

Automated Reasoning written by Nicolas Peltier and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-06-29 with Mathematics categories.


This two-volume set LNAI 12166 and 12167 constitutes the refereed proceedings of the 10th International Joint Conference on Automated Reasoning, IJCAR 2020, held in Paris, France, in July 2020.* In 2020, IJCAR was a merger of the following leading events, namely CADE (International Conference on Automated Deduction), FroCoS (International Symposium on Frontiers of Combining Systems), ITP (International Conference on Interactive Theorem Proving), and TABLEAUX (International Conference on Analytic Tableaux and Related Methods). The 46 full research papers, 5 short papers, and 11 system descriptions presented together with two invited talks were carefully reviewed and selected from 150 submissions. The papers focus on the following topics: Part I: SAT; SMT and QBF; decision procedures and combination of theories; superposition; proof procedures; non classical logics Part II: interactive theorem proving/ HOL; formalizations; verification; reasoning systems and tools *The conference was held virtually due to the COVID-19 pandemic. Chapter ‘A Fast Verified Liveness Analysis in SSA Form’ is available open access under a Creative Commons Attribution 4.0 International License via link.springer.com.



Foundations Of Probabilistic Programming


Foundations Of Probabilistic Programming
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Author : Gilles Barthe
language : en
Publisher: Cambridge University Press
Release Date : 2020-12-03

Foundations Of Probabilistic Programming written by Gilles Barthe and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-12-03 with Computers categories.


This book provides an overview of the theoretical underpinnings of modern probabilistic programming and presents applications in e.g., machine learning, security, and approximate computing. Comprehensive survey chapters make the material accessible to graduate students and non-experts. This title is also available as Open Access on Cambridge Core.