Linear Logic in Computer Science

doi:10.1017/CBO9780511550850

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Chrpa, Lukáš Surynek, Pavel and Vyskočil, Jiří 2009. Applications of Declarative Programming and Knowledge Management. Vol. 5437, Issue. , p. 54.

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Giacomoni, Gilbert 2022. Gestion des configurations dans les industries sous pression innovationnelle : le problème non-résolu de l’identité des systèmes. Revue Française de Gestion Industrielle, Vol. 36, Issue. 2, p. 75.

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Gilbert, Giacomoni 2023. The Need for Products Interchangeability: An Unsolved Problem of Semantic Conflicts No Product Definition System Can Support Perfectly. Journal of the Knowledge Economy, Vol. 15, Issue. 2, p. 7672.

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Edited by Thomas Ehrhard, Institut de Mathématiques de Luminy, Marseille, Jean-Yves Girard, Institut de Mathématiques de Luminy, Marseille, Paul Ruet, Institut de Mathématiques de Luminy, Marseille, Philip Scott, University of Ottawa

Publisher:: Cambridge University Press
Online publication date:: May 2010
Print publication year:: 2004
Online ISBN:: 9780511550850
DOI:: https://doi.org/10.1017/CBO9780511550850

Subjects:: Mathematics (general), Mathematics, Algorithmics, Complexity, Computer Algebra, Computational Geometry, Logic, Categories and Sets, Computer Science
Series:: London Mathematical Society Lecture Note Series (316)

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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.

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Linear Logic in Computer Science

This Book has been cited by the following publications. This list is generated based on data provided by Crossref.

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Contents

Frontmatter
pp i-iv

Contents
pp v-vi

Preface
pp vii-viii

List of contributors
pp ix-x

Part one - Tutorials
pp 1-2

1 - Category Theory for Linear Logicians
pp 3-64

2 - Proof Nets and the λ-Calculus
pp 65-118

3 - An Overview of Linear Logic Programming
pp 119-150

4 - Linearity and Nonlinearity in Distributed Computation
pp 151-188

Part two - Refereed Articles
pp 189-190

5 - An Axiomatic Approach to Structural Rules for Locative Linear Logic
pp 191-235

6 - An Introduction to Uniformity in Ludics
pp 236-246

7 - Slicing Polarized Additive Normalization
pp 247-282

8 - A Topological Correctness Criterion for Multiplicative Non-Commutative Logic
pp 283-322

Part three - Invited Articles
pp 323-324

9 - Bicategories in Algebra and Linguistics
pp 325-345

10 - Between Logic and Quantic: a Tract
pp 346-381

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Linear Logic in Computer Science

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