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FROCOS
2009
Springer
14 years 1 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
ECAI
2010
Springer
13 years 8 months ago
Metric Propositional Neighborhood Logics: Expressiveness, Decidability, and Undecidability
Abstract. Interval temporal logics formalize reasoning about interval structures over (usually) linearly ordered domains, where time intervals are the primitive ontological entitie...
Davide Bresolin, Dario Della Monica, Valentin Gora...
RTA
2005
Springer
14 years 26 days ago
Arithmetic as a Theory Modulo
We present constructive arithmetic in Deduction modulo with rewrite rules only. In natural deduction and in sequent calculus, the cut elimination theorem and the analysis of the st...
Gilles Dowek, Benjamin Werner
ICFP
2003
ACM
14 years 7 months ago
An effective theory of type refinements
We develop an explicit two level system that allows programmers to reason about the behavior of effectful programs. The first level is an ordinary ML-style type system, which conf...
Yitzhak Mandelbaum, David Walker, Robert Harper
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