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» On the Complexity of Reasoning in Kleene Algebra
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CSL
2010
Springer
13 years 8 months ago
The Complexity of Positive First-Order Logic without Equality II: The Four-Element Case
We study the complexity of evaluating positive equality-free sentences of first-order (FO) logic over fixed, finite structures B. This may be seen as a natural generalisation of th...
Barnaby Martin, Jos Martin
IJCAI
2003
13 years 9 months ago
Incremental Tractable Reasoning about Qualitative Temporal Constraints
In many applications of temporal reasoning we are in­ terested in reasoning incrementally In particular, given a CSP of temporal constrains and a new constraint, we want to maint...
Alfonso Gerevini
CSL
2005
Springer
14 years 1 months ago
Feasible Proofs of Matrix Properties with Csanky's Algorithm
We show that Csanky’s fast parallel algorithm for computing the characteristic polynomial of a matrix can be formalized in the logical theory LAP, and can be proved correct in LA...
Michael Soltys
SEFM
2008
IEEE
14 years 1 months ago
Restricted Broadcast Process Theory
We present a process algebra for modeling and reasoning about Mobile Ad hoc Networks (MANETs) and their protocols. In our algebra we model the essential modeling concepts of ad ho...
Fatemeh Ghassemi, Wan Fokkink, Ali Movaghar
CADE
2008
Springer
14 years 7 months ago
On Automating the Calculus of Relations
Relation algebras provide abstract equational axioms for the calculus of binary relations. They name an established area of mathematics with various applications in computer scienc...
Georg Struth, Peter Höfner