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Double Categories: a modular model of multiplicative linear logic  (Make Corrections)  
Paul-Andre Mellies



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Abstract: this article, we attack the converse problem of explaining semantics as an e ect of syntax, by extracting the meaning of a program from its dynamics. Our analysis will be guided by the following thesis: \ The meaning of a module should reect the history of its symbolic interactions with the environment " (1) In this article, we deliver a simple methodology to extract the meaning of a module from its interactive behaviour. We explain in what sense this relates to tracing modules in the... (Update)

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BibTeX entry:   (Update)

@misc{ mellies-double,
  author = "Paul-Andre Mellies",
  title = "Double Categories: a modular model of multiplicative linear logic",
  url = "citeseer.ist.psu.edu/723469.html" }
Citations (may not include all citations):
562   Categories for the working mathematician (context) - Lane - 1971
474   Term Rewriting Systems - Klop - 1992
359   Introduction to higher order categorical logic (context) - Lambek, Scott - 1986
242   Linear Logic (context) - Girard - 1992
66   What is a categorical model of Intuitionistic Linear Logic - Bierman - 1995
36   Call by Need Computations in Non-Ambiguous Linear Term Rewri.. (context) - Huet, evy - 1979
33   From proof-nets to interaction nets - Lafont - 1995
31   Concurrent games and full completeness - Abramsky, Melli - 1999
31   The structure of multiplicatives (context) - Danos, Regnier - 1989
29   Coherence for compact closed categories (context) - Kelly, Plaza - 1980
28   Foundations of equational deduction: A categorical treatment.. (context) - Rydeheard, Stell - 1987
24   Coherence in closed categories (context) - Kelly, Lane - 1971
21   An abstract formulation for rewrite systems (context) - Power - 1989
17   Modelling computations: a 2-categorical framework (context) - Seely - 1987
16   University of Edinburgh (context) - Ghani, PhD - 1995

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Documents on the same site (http://www.pps.jussieu.fr/~mellies/papers.html):   More
Semantic Types: A Fresh Look at the Ideal Model for Types - Vouillon, Mellies, Diderot (2004)   (Correct)
Asynchronous Games 2 - The true concurrency of innocence - Mellies (2004)   (Correct)
Innocence in 2-Dimensional Games - Mellies   (Correct)

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