Event domains, stable functions and proof-nets

<p>We pursue the program of exposing the intrinsic mathematical structure of the &amp;apos;&amp;apos;space of proofs&amp;apos;&amp;apos; of a logical system [S. Abramsky and R. Jagadeesan. Games and Full Completeness for Multiplicative Linear Logic, <em>Journal of Symboli...

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Bibliographic Details
Main Author: Abramsky, S
Format: Journal article
Language:English
Published: 2007
Subjects:
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Summary:<p>We pursue the program of exposing the intrinsic mathematical structure of the &amp;apos;&amp;apos;space of proofs&amp;apos;&amp;apos; of a logical system [S. Abramsky and R. Jagadeesan. Games and Full Completeness for Multiplicative Linear Logic, <em>Journal of Symbolic Logic</em>, (1994), vol. 59, no. 2, 543–574]. We study the case of Multiplicative-Additive Linear Logic (MALL). We use tools from Domain theory to develop a semantic notion of proof net for MALL, and prove a Sequentialization Theorem. This work forms part of a continuation of previous joint work with Radha Jagadeesan [S. Abramsky and R. Jagadeesan. Games and Full Completeness for Multiplicative Linear Logic, <em>Journal of Symbolic Logic</em>, (1994), vol. 59, no. 2, 543–574] and Paul-André Melliès [S. Abramsky and P.-A. Melliès. Concurrent Games and Full Completeness. <em>Proceedings of the 14th Annual IEEE Symposium on Logic in Computer Science</em>, 431–44, 1999].</p>