Skip Navigation

Journal of Logic and Computation 1994 4(6):939-973; doi:10.1093/logcom/4.6.939
© 1994 by Oxford University Press
This Article
Right arrow Full Text (PDF)
Right arrow Alert me when this article is cited
Right arrow Alert me if a correction is posted
Services
Right arrow Email this article to a friend
Right arrow Similar articles in this journal
Right arrow Alert me to new issues of the journal
Right arrow Add to My Personal Archive
Right arrow Download to citation manager
Right arrowRequest Permissions
Google Scholar
Right arrow Articles by DAM, M.
Right arrow Search for Related Content
Social Bookmarking
Add to CiteULike   Add to Connotea   Add to Del.icio.us  
What's this?

Original Articles

Process-Algebraic Interpretations of Positive Linear and Relevant Logics

MADS DAM

Swedish Institute of Computer Science Box 1263, S-164 28 Kista, Sweden E-mail:mfd{at}sics.se

We investigate the use of positive linear and relevant logics to provide logical accounts of static process structure, and combinations of relevance and modality to account also for dynamic behaviour. A general notion of model is introduced, based on which, three examples are given using Milner's synchronous process calculus SCCS. The structure of models is enriched by prefixing operators to cover also dynamic behaviour. Logically dynamic behaviour is captured by adding past and future modal operators. The resulting logic is given sound and complete axiomatizations and shown to conservatively extend the positive fragment of linear logic. Finally the induced interpretations of formulas on process terms are characterized, and axiomatisations are given which are sound and complete with respect to validity in the process-based interpretations. The completeness proofs are based on rewriting and provide procedures for deciding validity and consistency of formulas with respect to the process-based interpretations.

Keywords: Program logics; linear logic; relevant logic; modal logic; process algebra; compositionality


Add to CiteULike CiteULike   Add to Connotea Connotea   Add to Del.icio.us Del.icio.us    What's this?




Disclaimer:
Please note that abstracts for content published before 1996 were created through digital scanning and may therefore not exactly replicate the text of the original print issues. All efforts have been made to ensure accuracy, but the Publisher will not be held responsible for any remaining inaccuracies. If you require any further clarification, please contact our Customer Services Department.