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Conference papers

Resource Models and Proofs in Bunched Implications Logic

Didier Galmiche 1
1 TYPES - Logic, proof Theory and Programming
LORIA - Laboratoire Lorrain de Recherche en Informatique et ses Applications
Abstract : In this talk, we present, after an analysis of the BI models, a theory of semantic proof-search for BI, that is based on the use of algebras of labels in order to solve the resource-distribution and sharing problems. Therefore, we deduce methods that generate proofs or countermodels in BI. As consequences, we have two strong results for propositional BI: decidability and finite model property, and we also propose, a new resource semantics, based on partially defined monoids, which generalizes the semantics of BI's pointer logic and for which BI is complete. We analyse the consequences of these proof-theoretic and semantics results about BI in the context of separation and spatial logics (specifications and proofs of programs or distributed concurrent systems).
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Conference papers
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https://hal.inria.fr/inria-00099552
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Submitted on : Tuesday, September 26, 2006 - 9:38:32 AM
Last modification on : Friday, February 26, 2021 - 3:28:08 PM

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Didier Galmiche. Resource Models and Proofs in Bunched Implications Logic. First APPSEM-II Workshop 2003 - (Applied Semantics II), 2003, Nottingham/UK. ⟨inria-00099552⟩

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