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LICS
2006
IEEE
13 years 11 months ago
The Boundedness Problem for Monadic Universal First-Order Logic
We consider the monadic boundedness problem for least fixed points over FO formulae as a decision problem: Given a formula ϕ(X, x), positive in X, decide whether there is a unif...
Martin Otto
FROCOS
2009
Springer
13 years 12 months ago
Combining Theories with Shared Set Operations
Motivated by applications in software verification, we explore automated reasoning about the non-disjoint combination of theories of infinitely many finite structures, where the...
Thomas Wies, Ruzica Piskac, Viktor Kuncak
CADE
2005
Springer
14 years 5 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
JAR
2006
236views more  JAR 2006»
13 years 5 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
CSCLP
2008
Springer
13 years 7 months ago
An Efficient Decision Procedure for Functional Decomposable Theories Based on Dual Constraints
Abstract. Over the last decade, first-order constraints have been efficiently used in the artificial intelligence world to model many kinds of complex problems such as: scheduling,...
Khalil Djelloul