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» Deciding Bit-Vector Arithmetic with Abstraction
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CIE
2007
Springer
13 years 11 months ago
The Complexity of Quickly ORM-Decidable Sets
Abstract. The Ordinal Register Machine (ORM) is one of several different machine models for infinitary computability. We classify, by complexity, the sets that can be decided quic...
Joel David Hamkins, David Linetsky, Russell G. Mil...
CORR
2004
Springer
176views Education» more  CORR 2004»
13 years 5 months ago
The First-Order Theory of Sets with Cardinality Constraints is Decidable
Data structures often use an integer variable to keep track of the number of elements they store. An invariant of such data structure is that the value of the integer variable is ...
Viktor Kuncak, Martin C. Rinard
CSL
2008
Springer
13 years 7 months ago
Fractional Collections with Cardinality Bounds, and Mixed Linear Arithmetic with Stars
Abstract. We present decision procedures for logical constraints involving collections such as sets, multisets, and fuzzy sets. Element membership in our collections is given by ch...
Ruzica Piskac, Viktor Kuncak
LFCS
2007
Springer
13 years 11 months ago
Reasoning About Sequences of Memory States
Abstract. In order to verify programs with pointer variables, we introduce a temporal logic LTLmem whose underlying assertion language is the quantifier-free fragment of separatio...
Rémi Brochenin, Stéphane Demri, &Eac...
CPAIOR
2008
Springer
13 years 7 months ago
Stochastic Satisfiability Modulo Theories for Non-linear Arithmetic
Abstract. The stochastic satisfiability modulo theories (SSMT) problem is a generalization of the SMT problem on existential and randomized (aka. stochastic) quantification over di...
Tino Teige, Martin Fränzle