Advances in Linear Logic

ISBN: 9780521559614 出版年：1995 页码：399 Jean-Yves Girard Yves Lafont Laurent Regnier Cambridge University Press

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. Fouquere 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.