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» Deciding Boolean Algebra with Presburger Arithmetic
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CASC
2009
Springer
180views Mathematics» more  CASC 2009»
13 years 8 months ago
Effective Quantifier Elimination for Presburger Arithmetic with Infinity
We consider Presburger arithmetic extended by infinity. For this we give an effective quantifier elimination and decision procedure which implies also the completeness of our exten...
Aless Lasaruk, Thomas Sturm
FROCOS
2009
Springer
14 years 2 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
ATVA
2010
Springer
128views Hardware» more  ATVA 2010»
13 years 8 months ago
What's Decidable about Sequences?
Abstract. We present a first-order theory of (finite) sequences with integer elements, Presburger arithmetic, and regularity constraints, which can model significant properties of ...
Carlo A. Furia
AMAI
2007
Springer
13 years 7 months ago
Decision procedures for extensions of the theory of arrays
The theory of arrays, introduced by McCarthy in his seminal paper “Toward a mathematical science of computation”, is central to Computer Science. Unfortunately, the theory alo...
Silvio Ghilardi, Enrica Nicolini, Silvio Ranise, D...
LFCS
2007
Springer
14 years 1 months ago
Verifying Balanced Trees
Abstract. Balanced search trees provide guaranteed worst-case time performance and hence they form a very important class of data structures. However, the self-balancing ability co...
Zohar Manna, Henny B. Sipma, Ting Zhang