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» Arithmetic as a Theory Modulo
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CADE
2005
Springer
14 years 9 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
DEXA
2000
Springer
76views Database» more  DEXA 2000»
14 years 1 months ago
Semantic Verification of Rule-Based Systems with Arithmetic Constraints
The aim of this paper is to show a method that is able to detect a particular class of semantic inconsistencies in a rule-based system (RBS). A semantic inconsistency is defined by...
Jaime Ramírez, Angélica de Antonio
FSTTCS
2006
Springer
14 years 10 days ago
Validity Checking for Finite Automata over Linear Arithmetic Constraints
Abstract Decision procedures underlie many program analysis problems. Traditional program analysis algorithms attempt to prove some property about a single, statically-defined prog...
Gary Wassermann, Zhendong Su
APAL
2008
93views more  APAL 2008»
13 years 8 months ago
Arithmetic of Dedekind cuts of ordered Abelian groups
We study Dedekind cuts on ordered Abelian groups. We introduce a monoid structure on them, and we characterise, via a suitable representation theorem, the universal part of the th...
Antongiulio Fornasiero, Marcello Mamino
CORR
2008
Springer
113views Education» more  CORR 2008»
13 years 8 months ago
A Functional Hitchhiker's Guide to Hereditarily Finite Sets, Ackermann Encodings and Pairing Functions
The paper is organized as a self-contained literate Haskell program that implements elements of an executable finite set theory with focus on combinatorial generation and arithmet...
Paul Tarau