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» Decision procedures for extensions of the theory of arrays
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CAV
2003
Springer
107views Hardware» more  CAV 2003»
14 years 25 days ago
Theorem Proving Using Lazy Proof Explication
Many verification problems reduce to proving the validity of formulas involving both propositional connectives and domain-specific functions and predicates. This paper presents ...
Cormac Flanagan, Rajeev Joshi, Xinming Ou, James B...
LPAR
2010
Springer
13 years 5 months ago
Interpolating Quantifier-Free Presburger Arithmetic
Craig interpolation has become a key ingredient in many symbolic model checkers, serving as an approximative replacement for expensive quantifier elimination. In this paper, we foc...
Daniel Kroening, Jérôme Leroux, Phili...
FUIN
2010
83views more  FUIN 2010»
13 years 5 months ago
Expressing Cardinality Quantifiers in Monadic Second-Order Logic over Trees
We study an extension of monadic second-order logic of order with the uncountability quantifier "there exist uncountably many sets". We prove that, over the class of fini...
Vince Bárány, Lukasz Kaiser, Alexand...
CADE
2007
Springer
14 years 8 months ago
Combination Methods for Satisfiability and Model-Checking of Infinite-State Systems
Manna and Pnueli have extensively shown how a mixture of first-order logic (FOL) and discrete Linear time Temporal Logic (LTL) is sufficient to precisely state verification problem...
Silvio Ghilardi, Enrica Nicolini, Silvio Ranise, D...
LICS
2008
IEEE
14 years 2 months ago
Mechanizing the Metatheory of LF
LF is a dependent type theory in which many other formal systems can be conveniently embedded. However, correct use of LF relies on nontrivial metatheoretic developments such as p...
Christian Urban, James Cheney, Stefan Berghofer