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9780521608572

Linear Logic in Computer Science

by
  • ISBN13:

    9780521608572

  • ISBN10:

    0521608570

  • Format: Paperback
  • Copyright: 2004-11-15
  • Publisher: Cambridge University Press

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Summary

Linear Logic is a branch of proof theory which provides refined tools for the study of the computational aspects of proofs. These tools include a duality-based categorical semantics, an intrinsic graphical representation of proofs, the introduction of well-behaved non-commutative logical connectives, and the concepts of polarity and focalisation. These various aspects are illustrated here through introductory tutorials as well as more specialised contributions, with a particular emphasis on applications to computer science: denotational semantics, lambda-calculus, logic programming and concurrency theory. The volume is rounded-off by two invited contributions on new topics rooted in recent developments of linear logic. The book derives from a summer school that was the climax of the EU Training and Mobility of Researchers project 'Linear Logic in Computer Science'. It is an excellent introduction to some of the most active research topics in the area.

Table of Contents

Preface vii
List of contributors
ix
Part one: Tutorials
1(188)
Category Theory for Linear Logicians
3(62)
R. Blute
Ph. Scott
Proof Nets and the A-Calculus
65(54)
S. Guerrini
An Overview of Linear Logic Programming
119(32)
D. Miller
Linearity and Nonlinearity in Distributed Computation
151(38)
G. Winskel
Part two: Refereed Articles
189(134)
An Axiomatic Approach to Structural Rules for Locative Linear Logic
191(45)
J.-M. Andreoli
An Introduction to Uniformity in Ludics
236(11)
C. Faggian
M.-R. Fleury-Donnadieu
M. Quatrini
Slicing Polarized Additive Normalization
247(36)
O. Laurent
L. Tortora de Falco
A Topological Correctness Criterion for Multiplicative Non-Commutative Logic
283(40)
P.-A. Mellies
Part three: Invited Articles
323
Bicategories in Algebra and Linguistics
325(21)
J. Lambek
Between Logic and Quantic: a Tract
346
J.-Y. Girard

Supplemental Materials

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The New copy of this book will include any supplemental materials advertised. Please check the title of the book to determine if it should include any access cards, study guides, lab manuals, CDs, etc.

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