basic simple type theory cambridge tracts in theoretical computer science

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Basic Simple Type Theory

Author : J. Roger Hindley
ISBN : 0521465184
Genre : Computers
File Size : 40. 75 MB
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Type theory is one of the most important tools in the design of higher-level programming languages, such as ML. This book introduces and teaches its techniques by focusing on one particularly neat system and studying it in detail. By concentrating on the principles that make the theory work in practice, the author covers all the key ideas without getting involved in the complications of more advanced systems. This book takes a type-assignment approach to type theory, and the system considered is the simplest polymorphic one. The author covers all the basic ideas, including the system's relation to propositional logic, and gives a careful treatment of the type-checking algorithm that lies at the heart of every such system. Also featured are two other interesting algorithms that until now have been buried in inaccessible technical literature. The mathematical presentation is rigorous but clear, making it the first book at this level that can be used as an introduction to type theory for computer scientists.

Basic Proof Theory

Author : A. S. Troelstra
ISBN : 0521779111
Genre : Computers
File Size : 82. 46 MB
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Introduction to proof theory and its applications in mathematical logic, theoretical computer science and artificial intelligence.

Derivation And Computation

Author : H. Simmons
ISBN : 0521771730
Genre : Computers
File Size : 86. 3 MB
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Introduction to simple type theory; 200 exercises with complete solutions.

Proofs And Types

Author : Jean-Yves Girard
ISBN : 0521371813
Genre : Computers
File Size : 74. 89 MB
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This text is an outgrowth of notes prepared by J. Y. Girard for a course at the University of Paris VII. It deals with the mathematical background of the application to computer science of aspects of logic (namely the correspondence between proposition & types). Combined with the conceptual perspectives of Girard's ideas, this sheds light on both the traditional logic material & its prospective applications to computer science. The book covers a very active & exciting research area, & it will be essential reading for all those working in logic & computer science.

Topology Via Logic

Author : Steven Vickers
ISBN : 0521576512
Genre : Computers
File Size : 72. 44 MB
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This is an advanced textbook on topology for computer scientists. It is based on a course given by the author to postgraduate students of computer science at Imperial College.

Categorical Logic And Type Theory

Author : Bart Jacobs
ISBN : 0444508538
Genre : Mathematics
File Size : 49. 11 MB
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This book is an attempt to give a systematic presentation of both logic and type theory from a categorical perspective, using the unifying concept of fibred category. Its intended audience consists of logicians, type theorists, category theorists and (theoretical) computer scientists.

Type Theory And Formal Proof

Author : Rob Nederpelt
ISBN : 9781316061084
Genre : Computers
File Size : 75. 96 MB
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Type theory is a fast-evolving field at the crossroads of logic, computer science and mathematics. This gentle step-by-step introduction is ideal for graduate students and researchers who need to understand the ins and outs of the mathematical machinery, the role of logical rules therein, the essential contribution of definitions and the decisive nature of well-structured proofs. The authors begin with untyped lambda calculus and proceed to several fundamental type systems, including the well-known and powerful Calculus of Constructions. The book also covers the essence of proof checking and proof development, and the use of dependent type theory to formalise mathematics. The only prerequisite is a basic knowledge of undergraduate mathematics. Carefully chosen examples illustrate the theory throughout. Each chapter ends with a summary of the content, some historical context, suggestions for further reading and a selection of exercises to help readers familiarise themselves with the material.

Term Rewriting And All That

Author : Franz Baader
ISBN : 0521779200
Genre : Computers
File Size : 52. 23 MB
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Unified and self-contained introduction to term-rewriting; suited for students or professionals.

Computer Science Logic

Author : Julian Bradfield
ISBN : 9783540457930
Genre : Computers
File Size : 32. 22 MB
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The Annual Conference of the European Association for Computer Science Logic, CSL 2002, was held in the Old College of the University of Edinburgh on 22–25 September 2002. The conference series started as a programme of Int- national Workshops on Computer Science Logic, and then in its sixth meeting became the Annual Conference of the EACSL. This conference was the sixteenth meeting and eleventh EACSL conference; it was organized by the Laboratory for Foundations of Computer Science at the University of Edinburgh. The CSL 2002 Programme Committee considered 111 submissions from 28 countries during a two week electronic discussion; each paper was refereed by at least three reviewers. The Committee selected 37 papers for presentation at the conference and publication in these proceedings. The Programme Committee invited lectures from Susumu Hayashi, Frank Neven, and Damian Niwinski; ́ the papers provided by the invited speakers appear at the front of this volume. In addition to the main conference, two tutorials – ‘Introduction to Mu- Calculi’ (Julian Brad?eld) and ‘Parametrized Complexity’ (Martin Grohe) – were given on the previous day.

Theoretical Aspects Of Computing Ictac 2008

Author : John S. Fitzgerald
ISBN : 9783540857617
Genre : Computers
File Size : 77. 20 MB
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This book constitutes the refereed proceedings of the 5th International Colloquium on Theoretical Aspects of Computing, ICTAC 2008 held in Istanbul, Turkey in September 2008. The 27 revised full papers were carefully reviewed and selected from over 70 submissions. The aim of the colloquium is to bring together practitioners and researchers from academia, industry and government to present research results, and exchange experience, ideas, and solutions for their problems in theoretical aspects of computing such as automata theory and formal languages, principles and semantics of programming languages, software architectures and their description languages, software specification, refinement, and verification, model checking and theorem proving, real-time, embedded and hybrid systems, theory of parallel, distributed, and internet-based (grid) computing, simulation and modeling, and service-oriented development.

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