Advances in Linear Logic
Cambridge University Press (1995)
| Abstract | 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. | |||||||||
| Keywords | Logic, Symbolic and mathematical Congresses | |||||||||
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| Buy the book | $94.47 new (11% off) $105.00 direct from Amazon Amazon page | |||||||||
| Call number | QA9.A1.L56 1995 | |||||||||
| ISBN(s) | 0521559618 9780521559614 | |||||||||
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Simone Martini & Andrea Masini (1994). A Modal View of Linear Logic. Journal of Symbolic Logic 59 (3):888-899.
Samson Abramsky & Radha Jagadeesan (1994). Games and Full Completeness for Multiplicative Linear Logic. Journal of Symbolic Logic 59 (2):543-574.
Misao Nagayama & Mitsuhiro Okada (2001). A New Correctness Criterion for the Proof Nets of Non-Commutative Multiplicative Linear Logics. Journal of Symbolic Logic 66 (4):1524-1542.
Dirk Roorda (1994). Interpolation in Fragments of Classical Linear Logic. Journal of Symbolic Logic 59 (2):419-444.
David Albrecht, Frank A. Bäuerle, John N. Crossley & John S. Jeavons (1998). Curry-Howard Terms for Linear Logic. Studia Logica 61 (2):223 - 235.
Paulo Oliva (2008). An Analysis of Gödel's Dialectica Interpretation Via Linear Logic. Dialectica 62 (2):269–290.
Thomas Ehrhard (ed.) (2004). Linear Logic in Computer Science. Cambridge University Press.
Frank A. Bäuerle, David Albrecht, John N. Crossley & John S. Jeavons (1998). Curry-Howard Terms for Linear Logic. Studia Logica 61 (2):223-235.
Thomas Ehrhard (2004). A Completeness Theorem for Symmetric Product Phase Spaces. Journal of Symbolic Logic 69 (2):340 - 370.
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