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Computer Science > Logic in Computer Science

arXiv:0810.2653 (cs)
[Submitted on 15 Oct 2008]

Title:On combinations of local theory extensions

Authors:Viorica Sofronie-Stokkermans
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Abstract: In this paper we study possibilities of efficient reasoning in combinations of theories over possibly non-disjoint signatures. We first present a class of theory extensions (called local extensions) in which hierarchical reasoning is possible, and give several examples from computer science and mathematics in which such extensions occur in a natural way. We then identify situations in which combinations of local extensions of a theory are again local extensions of that theory. We thus obtain criteria both for recognizing wider classes of local theory extensions, and for modular reasoning in combinations of theories over non-disjoint signatures.
Comments: 22 pages, no figure
Subjects: Logic in Computer Science (cs.LO); Artificial Intelligence (cs.AI)
Cite as: arXiv:0810.2653 [cs.LO]
  (or arXiv:0810.2653v1 [cs.LO] for this version)
  https://doi.org/10.48550/arXiv.0810.2653

Submission history

From: Viorica Sofronie-Stokkermans [view email]
[v1] Wed, 15 Oct 2008 10:26:02 UTC (22 KB)
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