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» Bounds on the automata size for Presburger arithmetic
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CONCUR
2010
Springer
13 years 3 months ago
On the Use of Non-deterministic Automata for Presburger Arithmetic
Abstract. A well-known decision procedure for Presburger arithmetic uses deterministic finite-state automata. While the complexity of the decision procedure for Presburger arithme...
Antoine Durand-Gasselin, Peter Habermehl
MEMOCODE
2003
IEEE
13 years 9 months ago
Exact Runtime Analysis Using Automata-Based Symbolic Simulation
In this paper, we present a technique for determining tight bounds on the execution time of assembler programs. Thus, our method is independent of the design flow, but takes into...
Tobias Schüle, Klaus Schneider
TACAS
2009
Springer
115views Algorithms» more  TACAS 2009»
13 years 11 months ago
Iterating Octagons
Abstract. In this paper we prove that the transitive closure of a nondeterministic octagonal relation using integer counters can be expressed in Presburger arithmetic. The direct c...
Marius Bozga, Codruta Gîrlea, Radu Iosif
QEST
2008
IEEE
13 years 11 months ago
Quasi-Birth-Death Processes, Tree-Like QBDs, Probabilistic 1-Counter Automata, and Pushdown Systems
We begin by observing that (discrete-time) QuasiBirth-Death Processes (QBDs) are equivalent, in a precise sense, to (discrete-time) probabilistic 1-Counter Automata (p1CAs), and b...
Kousha Etessami, Dominik Wojtczak, Mihalis Yannaka...