Advances in Linear Logic (eBook, PDF)

Redaktion: Girard, Jean-Yves

• Format: PDF

Produktbeschreibung

Linear logic, introduced in 1986 by J.-Y. Girard, is based upon a fine grain analysis of the main proof-theoretical notions of logic. The subject develops along the lines of denotational semantics, proof nets and the geometry of interaction. Its basic dynamical nature has attracted computer scientists, and various promising connections have been made in the areas of optimal program execution, interaction nets and knowledge representation. This book is the refereed proceedings of the first international meeting on linear logic held at Cornell University, in June 1993. Survey papers devoted to specific areas of linear logic, as well as an extensive general introduction to the subject by J.-Y. Girard, have been added, so as to make this book a valuable tool both for the beginner and for the advanced researcher.

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Produktdetails

• Verlag: Cambridge University Press
• Erscheinungstermin: 22. Juni 1995
• Englisch
• ISBN-13: 9780511893179
• Artikelnr.: 38215386

Inhaltsangabe

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.