Linear Logic I PDF Download
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Author | : Thomas Ehrhard |
Publisher | : Cambridge University Press |
Total Pages | : 393 |
Release | : 2004-11-15 |
Genre | : Computers |
ISBN | : 0521608570 |
Download Linear Logic in Computer Science Book in PDF, ePub and Kindle
This book illustrates linear logic in the application of proof theory to computer science.
Author | : Nachum Dershowitz |
Publisher | : Springer |
Total Pages | : 573 |
Release | : 2007-10-07 |
Genre | : Computers |
ISBN | : 3540755608 |
Download Logic for Programming, Artificial Intelligence, and Reasoning Book in PDF, ePub and Kindle
This book constitutes the refereed proceedings of the 14th International Conference on Logic for Programming, Artificial Intelligence, and Reasoning, LPAR 2007, held in Yerevan, Armenia. It contains 36 revised full papers, 15 short papers and three invited talks that were carefully selected from 78 submissions. The papers address all current issues in logic programming, logic-based program manipulation, formal method, automated reasoning, and various kinds of AI logics.
Author | : Anne Sjerp Troelstra |
Publisher | : Center for the Study of Language and Information Publications |
Total Pages | : 215 |
Release | : 1992-05-01 |
Genre | : Mathematics |
ISBN | : 9780937073773 |
Download Lectures on Linear Logic Book in PDF, ePub and Kindle
The initial sections of this text deal with syntactical matters such as logical formalism, cut-elimination, and the embedding of intuitionistic logic in classical linear logic. Concluding chapters focus on proofnets for the multiplicative fragment and the algorithmic interpretation of cut-elimination in proofnets.
Author | : Sergei Artemov |
Publisher | : Cambridge University Press |
Total Pages | : 271 |
Release | : 2019-05-02 |
Genre | : Mathematics |
ISBN | : 1108424910 |
Download Justification Logic Book in PDF, ePub and Kindle
Develops a new logic paradigm which emphasizes evidence tracking, including theory, connections to other fields, and sample applications.
Author | : Jean-Yves Girard |
Publisher | : Cambridge University Press |
Total Pages | : 401 |
Release | : 1995-06-22 |
Genre | : Mathematics |
ISBN | : 0521559618 |
Download Advances in Linear Logic Book in PDF, ePub and Kindle
This volume gives an overview of linear logic that will be useful to mathematicians and computer scientists working in this area.
Author | : A. S. Troelstra |
Publisher | : |
Total Pages | : 215 |
Release | : 2000 |
Genre | : |
ISBN | : |
Download Lectures on Linear Logic Book in PDF, ePub and Kindle
Author | : Jacques Duparc |
Publisher | : Springer Science & Business Media |
Total Pages | : 611 |
Release | : 2007-08-30 |
Genre | : Computers |
ISBN | : 3540749144 |
Download Computer Science Logic Book in PDF, ePub and Kindle
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.
Author | : S.R. Buss |
Publisher | : Elsevier |
Total Pages | : 823 |
Release | : 1998-07-09 |
Genre | : Mathematics |
ISBN | : 0080533183 |
Download Handbook of Proof Theory Book in PDF, ePub and Kindle
This volume contains articles covering a broad spectrum of proof theory, with an emphasis on its mathematical aspects. The articles should not only be interesting to specialists of proof theory, but should also be accessible to a diverse audience, including logicians, mathematicians, computer scientists and philosophers. Many of the central topics of proof theory have been included in a self-contained expository of articles, covered in great detail and depth. The chapters are arranged so that the two introductory articles come first; these are then followed by articles from core classical areas of proof theory; the handbook concludes with articles that deal with topics closely related to computer science.
Author | : Morten Heine Sørensen |
Publisher | : Elsevier |
Total Pages | : 457 |
Release | : 2006-07-04 |
Genre | : Mathematics |
ISBN | : 0080478921 |
Download Lectures on the Curry-Howard Isomorphism Book in PDF, ePub and Kindle
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 | : Greg Restall |
Publisher | : Routledge |
Total Pages | : 384 |
Release | : 2002-09-11 |
Genre | : Philosophy |
ISBN | : 1135111316 |
Download An Introduction to Substructural Logics Book in PDF, ePub and Kindle
This book introduces an important group of logics that have come to be known under the umbrella term 'susbstructural'. Substructural logics have independently led to significant developments in philosophy, computing and linguistics. An Introduction to Substrucural Logics is the first book to systematically survey the new results and the significant impact that this class of logics has had on a wide range of fields.The following topics are covered: * Proof Theory * Propositional Structures * Frames * Decidability * Coda Both students and professors of philosophy, computing, linguistics, and mathematics will find this to be an important addition to their reading.