An exact correspondence between a typed pi-calculus and polarised proof-nets

被引:22
作者
Honda, Kohei [2 ]
Laurent, Olivier [1 ]
机构
[1] Univ Paris 07, CNRS, Preuves Programmes Syst, F-75221 Paris 05, France
[2] Univ London, Dept Comp Sci, London WC1E 7HU, England
关键词
Pi-calculus; Proof-nets; Processes; Logics; Proofs; Types; Interaction; Concurrency; Linear Logic; Polarity; Embedding; Determinism; Non-determinism; EQUIVALENCE;
D O I
10.1016/j.tcs.2010.01.028
中图分类号
TP301 [理论、方法];
学科分类号
081202 ;
摘要
This paper presents an exact correspondence in typing and dynamics between polarised linear logic and a typed pi-calculus based on IO-typing. The respective incremental constraints, one on geometric structures of proof-nets and one based on types, precisely correspond to each other, leading to the exact correspondence of the respective formalisms as they appear in Olivier Laurent (2003) [27] (for proof-nets) and Kohei Honda et al. (2004) [24] (for the pi-calculus). (C) 2010 Elsevier B.V. All rights reserved.
引用
收藏
页码:2223 / 2238
页数:16
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