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» An Analysis of Arithmetic Constraints on Integer Intervals
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87
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PRDC
2007
IEEE
15 years 3 months ago
An Automatic Real-Time Analysis of the Time to Reach Consensus
Consensus is one of the most fundamental problems in fault-tolerant distributed computing. This paper proposes a mechanical method for analyzing the condition that allows one to s...
Tatsuhiro Tsuchiya, André Schiper
92
Voted
JAR
2006
236views more  JAR 2006»
14 years 9 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
CADE
2005
Springer
15 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
CPM
2009
Springer
127views Combinatorics» more  CPM 2009»
15 years 4 months ago
Deconstructing Intractability: A Case Study for Interval Constrained Coloring
The NP-hard Interval Constrained Coloring problem appears in the interpretation of experimental data in biochemistry dealing with protein fragments. Given a set of m integer interv...
Christian Komusiewicz, Rolf Niedermeier, Johannes ...
CORR
2004
Springer
176views Education» more  CORR 2004»
14 years 9 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