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JAR
2006
236views more  JAR 2006»
15 years 4 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
SAS
1992
Springer
171views Formal Methods» more  SAS 1992»
15 years 8 months ago
Static Analysis of CLP Programs over Numeric Domains
Abstract Constraint logic programming (CLP) is a generalization of the pure logic programming paradigm, having similar model-theoretic, fixpoint and operational semantics [9]. Sinc...
Roberto Bagnara, Roberto Giacobazzi, Giorgio Levi
RTA
2005
Springer
15 years 9 months ago
The Algebra of Equality Proofs
Proofs of equalities may be built from assumptions using proof rules for reflexivity, symmetry, and transitivity. Reflexivity is an axiom proving x=x for any x; symmetry is a 1-p...
Aaron Stump, Li-Yang Tan
VMCAI
2004
Springer
15 years 9 months ago
Boolean Algebra of Shape Analysis Constraints
Shape analysis is a promising technique for statically verifying and extracting properties of programs that manipulate complex data structures. We introduce a new characterization...
Viktor Kuncak, Martin C. Rinard
ACS
2011
14 years 11 months ago
The Patch Construction is Dual to Algebraic DCPO Representation
Using the parallel between the preframe and the suplattice approach to locale theory it is shown that the patch construction, as an action on topologies, is the same thing as the ...
Christopher F. Townsend