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Abstract: Linear logic, introduced by Girard, is a refinement of classical logic with a natural, intrinsic accounting of resources. We show that unlike most other propositional (quantifier-free) logics, full propositional linear logic is undecidable. Further, we prove that without the modal storage operator, which indicates unboundedness of resources, the decision problem becomes pspace-complete. We also establish membership in np for the multiplicative fragment, np-completeness for the multiplicative... (Update)
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BibTeX entry: (Update)
P. Lincoln, J. Mitchell, A. Scedrov, and N. Shankar. Decision problems for propositional linear logic. Annals of Pure and Applied Logic, 56:239--311, 1992. http://citeseer.ist.psu.edu/article/lincoln90decision.html More
@incollection{ lincoln90decision,
author = "Patrick Lincoln and John Mitchell and Andre Scedrov and Natarajan Shankar",
title = "Decision Problems for Propositional Linear Logic",
booktitle = "Proceedings 31st Annual {IEEE} Symp.\ on Foundations of Computer Science, {FOCS}'90, St Louis, Missouri, {USA}, 22--24 Oct 1990",
publisher = "IEEE Computer Society Press",
address = "Los Alamitos, CA",
pages = "662--671",
year = "1990",
url = "citeseer.ist.psu.edu/article/lincoln90decision.html" }
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The graph only includes citing articles where the year of publication is known.
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