Advances in Linear Logic

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Format: Paperback
Pub. Date: 1995-06-30
Publisher(s): Cambridge University Press
List Price: $87.74

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Summary

This volume gives an overview of linear logic in five parts: category theory; complexity and expressivity; proof theory; proof nets; and the geometry of interaction. The book includes a general introduction to linear logic that will ensure this book's use by the novice as well as the expert. Mathematicians and computer scientists will learn much from this book.

Table of Contents

Linear logic: its syntax and semantics J. Y. Girard
Part I. Categories and Semantics: 1. Bilinear logic in algebra and linguistics J. Lambek
2. A category arising in linear logic, complexity theory and set theory A. Blass
3. Hypercoherences: a strongly stable model of linear logic T. Erhard
Part II. Complexity and Expressivity: 4. Deciding provability of linear logic formulas P. D. Lincoln
5. The direct simulation of Minsky machines in linear logic M. I. Kanovich
6. Stochastic interaction and linear logic P. D. Lincoln, J. Mitchell and A. Scedrov
7. Inheritance with exceptions C. Fouqueré
and J. Vauzeilles
Part III. Proof Theory: 8. On the fine structure of the exponential rule S. Martini and A. Masini
9. Sequent calculi for second order logic V. Danos, J. B. Joinet and H. Schellinx
Part IV. Proff Nets: 10. From proof nets to interaction nets Y. Lafont
11. Empires and kingdoms in MLL G. Bellin and J. Van De Wiele
12. Noncommutative proof nets V. M. Abrusci
13. Volume of multiplicative formulas and provability F. Metayer
Part V. Geometry of Interaction: 14. Proof nets and Hilbert space V. Danos and L. Regnier
15. Geometry of interacion III: accomodating the additives J. Y. Girard.

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