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CORR
2008
Springer
130views Education» more  CORR 2008»
13 years 7 months ago
Convex Hull of Arithmetic Automata
Abstract. Arithmetic automata recognize infinite words of digits denoting decompositions of real and integer vectors. These automata are known expressive and efficient enough to re...
Jérôme Leroux
CAV
2008
Springer
170views Hardware» more  CAV 2008»
13 years 9 months ago
Efficient Craig Interpolation for Linear Diophantine (Dis)Equations and Linear Modular Equations
Abstract. The use of Craig interpolants has enabled the development of powerful hardware and software model checking techniques. Efficient algorithms are known for computing interp...
Himanshu Jain, Edmund M. Clarke, Orna Grumberg
CSL
2010
Springer
13 years 8 months ago
Ordered Sets in the Calculus of Data Structures
Our goal is to identify families of relations that are useful for reasoning about software. We describe such families using decidable quantifier-free classes of logical constraints...
Viktor Kuncak, Ruzica Piskac, Philippe Suter
JAR
2006
236views more  JAR 2006»
13 years 7 months ago
Deciding 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
CAV
2012
Springer
227views Hardware» more  CAV 2012»
11 years 10 months ago
Minimum Satisfying Assignments for SMT
Abstract. A minimum satisfying assignment of a formula is a minimumcost partial assignment of values to the variables in the formula that guarantees the formula is true. Minimum sa...
Isil Dillig, Thomas Dillig, Kenneth L. McMillan, A...