Rewriting and Typed Lambda Calculi

Rewriting and Typed Lambda Calculi PDF

Author: Gilles Dowek

Publisher: Springer

Published: 2014-07-01

Total Pages: 491

ISBN-13: 3319089188

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This book constitutes the refereed proceedings of the Joint 25th International Conference on Rewriting Techniques and Applications, RTA 2014, and 12th International Conference on Typed Lambda-Calculi and Applications, TLCA 2014, held as part of the Vienna Summer of Logic, VSL 2014, in Vienna, Austria, in July 2014. The 28 revised full papers and 3 short papers presented were carefully reviewed and selected from 87 submissions. The papers provide research results on all aspects of rewriting and typed lambda calculi, ranging from theoretical and methodological issues to applications in various contexts. They address a wide variety of topics such as algorithmic aspects, implementation, logic, types, semantics, and programming.

Typed Lambda Calculi and Applications

Typed Lambda Calculi and Applications PDF

Author: Marc Bezem

Publisher: Springer Science & Business Media

Published: 1993-03-03

Total Pages: 452

ISBN-13: 9783540565178

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The lambda calculus was developed in the 1930s by Alonzo Church. The calculus turned out to be an interesting model of computation and became theprototype for untyped functional programming languages. Operational and denotational semantics for the calculus served as examples for otherprogramming languages. In typed lambda calculi, lambda terms are classified according to their applicative behavior. In the 1960s it was discovered that the types of typed lambda calculi are in fact appearances of logical propositions. Thus there are two possible views of typed lambda calculi: - as models of computation, where terms are viewed as programs in a typed programming language; - as logical theories, where the types are viewed as propositions and the terms as proofs. The practical spin-off from these studies are: - functional programming languages which are mathematically more succinct than imperative programs; - systems for automated proof checking based on lambda caluli. This volume is the proceedings of TLCA '93, the first international conference on Typed Lambda Calculi and Applications,organized by the Department of Philosophy of Utrecht University. It includes29 papers selected from 51 submissions.

Term Rewriting Systems

Term Rewriting Systems PDF

Author: Terese

Publisher: Cambridge University Press

Published: 2003-03-20

Total Pages: 926

ISBN-13: 9780521391153

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Term rewriting systems developed out of mathematical logic and are an important part of theoretical computer science. They consist of sequences of discrete transformation steps where one term is replaced with another and have applications in many areas, from functional programming to automatic theorem proving and computer algebra. This 2003 book starts at an elementary level with the earlier chapters providing a foundation for the rest of the work. Much of the advanced material appeared here for the first time in book form. Subjects treated include orthogonality, termination, completion, lambda calculus, higher-order rewriting, infinitary rewriting and term graph rewriting. Many exercises are included with selected solutions provided on the web. A comprehensive bibliography makes this book ideal both for teaching and research. A chapter is included presenting applications of term rewriting systems, with many pointers to actual implementations.

Typed Lambda Calculi and Applications

Typed Lambda Calculi and Applications PDF

Author: Pierre-Louis Curien

Publisher: Springer Science & Business Media

Published: 2009-06-08

Total Pages: 427

ISBN-13: 3642022723

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This book constitutes the refereed proceedings of the 9th International Conference on Typed Lambda Calculi and Applications, TLCA 2009, held in Brasilia, Brazil in July 2008 in conjunction with RTA 2007, the 19th International Conference on Rewriting Techniques and Applications as part of RDP 2009, the 5th International Conference on Rewriting, Deduction, and Programming. The 27 revised full papers presented together with 2 invited talks were carefully reviewed and selected from 53 submissions. The papers present original research results that are broadly relevant to the theory and applications of typed calculi and address a wide variety of topics such as proof-theory, semantics, implementation, types, and programming.

Typed Lambda Calculi and Applications

Typed Lambda Calculi and Applications PDF

Author: Philippe de Groote

Publisher: Springer Science & Business Media

Published: 1997-03-12

Total Pages: 420

ISBN-13: 9783540626886

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This book constitutes the refereed proceedings of the Third International Conference on Typed Lambda Calculi and Applications, TLCA '97, held in Nancy, France, in April 1997. The 24 revised full papers presented in the book were carefully selected from a total of 54 submissions. The book reports the main research advances achieved in the area of typed lambda calculi since the predecessor conference, held in 1995, and competently reflects the state of the art in the area.

Typed Lambda Calculi and Applications

Typed Lambda Calculi and Applications PDF

Author: Luke Ong

Publisher: Springer Science & Business Media

Published: 2011-05-23

Total Pages: 255

ISBN-13: 3642216900

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This book constitutes the refereed proceedings of the 10th International Conference on Typed Lambda Calculi and Applications, TLCA 2011, held in Novi Sad, Serbia, in June 2011 as part of RDP 2011, the 6th Federated Conference on Rewriting, Deduction, and Programming. The 15 revised full papers presented were carefully reviewed and selected from 44 submissions. The papers provide prevailing research results on all current aspects of typed lambda calculi, ranging from theoretical and methodological issues to applications in various contexts addressing a wide variety of topics such as proof-theory, semantics, implementation, types, and programming.

Typed Lambda Calculi and Applications

Typed Lambda Calculi and Applications PDF

Author: Masahito Hasegawa

Publisher: Springer

Published: 2013-05-27

Total Pages: 260

ISBN-13: 3642389465

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This book constitutes the refereed proceedings of the 11th International Conference on Typed Lambda Calculi and Applications, TLCA 2013, held in Eindhoven, The Netherlands, in June 2013 as part of RDP 2013, the 7th Federated Conference on Rewriting, Deduction, and Programming, together with the 24th International Conference on Rewriting Techniques and Applications, RTA 2013, and several related events. The 15 revised full papers presented were carefully reviewed and selected from 41 submissions. The papers provide prevailing research results on all current aspects of typed lambda calculi, ranging from theoretical and methodological issues to applications in various contexts addressing a wide variety of topics such as proof-theory, semantics, implementation, types, and programming.

Typed Lambda Calculi and Applications

Typed Lambda Calculi and Applications PDF

Author: Simona Ronchi Della Rocca

Publisher: Springer

Published: 2007-07-11

Total Pages: 400

ISBN-13: 3540732284

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This book constitutes the refereed proceedings of the 8th International Conference on Typed Lambda Calculi and Applications, TLCA 2007, held in Paris, France in June 2007 in conjunction with RTA 2007, the 18th International Conference on Rewriting Techniques and Applications as part of RDP 2007, the 4th International Conference on Rewriting, Deduction, and Programming. The 25 revised full papers presented together with 2 invited talks were carefully reviewed and selected from 52 submissions. The papers present original research results that are broadly relevant to the theory and applications of typed calculi and address a wide variety of topics such as proof-theory, semantics, implementation, types, and programming.