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» A Proof System and a Decision Procedure for Equality Logic
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CADE
2012
Springer
11 years 8 months ago
Rewriting Induction + Linear Arithmetic = Decision Procedure
Abstract. This paper presents new results on the decidability of inductive validity of conjectures. For these results, a class of term rewrite systems (TRSs) with built-in linear i...
Stephan Falke, Deepak Kapur
ENTCS
2007
121views more  ENTCS 2007»
13 years 5 months ago
Rewrite-Based Decision Procedures
The rewrite-based approach to satisfiability modulo theories consists of using generic theorem-proving strategies for first-order logic with equality. If one can prove that an i...
Maria Paola Bonacina, Mnacho Echenim
FSTTCS
2004
Springer
13 years 11 months ago
A Decidable Fragment of Separation Logic
We present a fragment of separation logic oriented to linked lists, and study decision procedures for validity of entailments. The restrictions in the fragment are motivated by the...
Josh Berdine, Cristiano Calcagno, Peter W. O'Hearn
LPAR
2010
Springer
13 years 3 months ago
On the Equality of Probabilistic Terms
We consider a mild extension of universal algebra in which terms are built both from deterministic and probabilistic variables, and are interpreted as distributions. We formulate a...
Gilles Barthe, Marion Daubignard, Bruce M. Kapron,...
CADE
2002
Springer
14 years 6 months ago
Formal Verification of a Combination Decision Procedure
Decision procedures for combinations of theories are at the core of many modern theorem provers such as ACL2, Ehdm, PVS, SIMPLIFY, the Stanford Pascal Verifier, STeP, SVC, and Z/Ev...
Jonathan Ford, Natarajan Shankar