NDLI: Games and full completeness for multiplicative linear logic

Content Provider	Scilit
Author	Abramsky, Samson Jagadeesan, Radha
Copyright Year	1994
Description	We present a game semantics for Linear Logic, in which formulas denote games and proofs denote winning strategies. We show that our semantics yields a categorical model of Linear Logic and prove full completeness for Multiplicative Linear Logic with the MIX rule: every winning strategy is the denotation of a unique cut-free proof net. A key role is played by the notion of history-free strategy; strong connections are made between history-free strategies and the Geometry of Interaction. Our semantics incorporates a natural notion of polarity, leading to a refined treatment of the additives. We make comparisons with related work by Joyal, Blass, et al.
Related Links	http://arxiv.org/pdf/1311.6057
Ending Page	574
Page Count	32
Starting Page	543
ISSN	00224812
e-ISSN	19435886
DOI	10.2307/2275407
Journal	The Journal of Symbolic Logic
Issue Number	2
Volume Number	59
Language	English
Publisher	Duke University Press
Access Restriction	Open
Subject Keyword	Logic Game Semantics Geometry of Interaction Linear Logic
Content Type	Text
Resource Type	Article
Subject	Philosophy Logic

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Games and full completeness for multiplicative linear logic