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» The Algebra of Equality Proofs
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FMCAD
2007
Springer
14 years 2 months ago
Lifting Propositional Interpolants to the Word-Level
— Craig interpolants are often used to approximate inductive invariants of transition systems. Arithmetic relationships between numeric variables require word-level interpolants,...
Daniel Kroening, Georg Weissenbacher
JOLLI
2002
141views more  JOLLI 2002»
13 years 7 months ago
Naming Worlds in Modal and Temporal Logic
In this paper we suggest adding to predicate modal and temporal logic a locality predicate W which gives names to worlds (or time points). We also study an equal time predicate D(x...
Dov M. Gabbay, G. Malod
CORR
2011
Springer
155views Education» more  CORR 2011»
12 years 12 months ago
On the Generation of Positivstellensatz Witnesses in Degenerate Cases
One can reduce the problem of proving that a polynomial is nonnegative, or more generally of proving that a system of polynomial inequalities has no solutions, to finding polynomi...
David Monniaux, Pierre Corbineau
PEPM
2010
ACM
14 years 5 months ago
Optimizing relational algebra operations using generic equivalence discriminators and lazy products
We show how to efficiently evaluate generic map-filter-product queries, generalizations of select-project-join (SPJ) queries in relational algebra, based on a combination of two...
Fritz Henglein
CADE
2005
Springer
14 years 8 months ago
An Algorithm for Deciding BAPA: Boolean Algebra with Presburger Arithmetic
We describe an algorithm for deciding the first-order multisorted theory BAPA, which combines 1) Boolean algebras of sets of uninterpreted elements (BA) and 2) Presburger arithmeti...
Viktor Kuncak, Huu Hai Nguyen, Martin C. Rinard