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Games and Full Completeness for Multiplicative Linear Logic (1994)  (Make Corrections)  (175 citations)
Samson Abramsky and Radha Jagadeesan Department of Computing Imperial College ...
Foundations of Software Technology and Theoretical Computer Science (FST-TCS'92)



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Abstract: 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 ... (Update)

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BibTeX entry:   (Update)

S. Abramsky and R. Jagadeesan. Games and full completeness for multiplicative linear logic. Journal of Symbolic Logic, 59(2):543 -- 574, June 1994. Also appeared as Technical Report 92/24 of the Department of Computing, Imperial College of Science, Technology and Medicine. http://citeseer.ist.psu.edu/article/abramsky94games.html   More

@inproceedings{ abramsky92games,
    author = "S. Abramsky and R. Jagadeesan",
    title = "Games and Full Completeness for Multiplicative Linear Logic",
    booktitle = "Foundations of Software Technology and Theoretical Computer Science ({FST}-{TCS}'92)",
    address = "New Delhi, India",
    editor = "R. Shyamasundar",
    pages = "291-301",
    year = "1992",
    url = "citeseer.ist.psu.edu/article/abramsky94games.html" }
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The graph only includes citing articles where the year of publication is known.


Documents on the same site (http://web.comlab.ox.ac.uk/oucl/work/samson.abramsky/):   More
Computational Interpretations of Linear Logic - Abramsky (1993)   (Correct)
Algorithmic Game Semantics - Abramsky   (Correct)
A Structural Approach to Reversible Computation - Abramsky (2001)   (Correct)

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