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CORR
2008
Springer
130views Education» more  CORR 2008»
8 years 5 months ago
Convex Hull of Arithmetic Automata
Abstract. Arithmetic automata recognize infinite words of digits denoting decompositions of real and integer vectors. These automata are known expressive and efficient enough to re...
Jérôme Leroux
ICALP
2001
Springer
8 years 10 months ago
On Generating All Minimal Integer Solutions for a Monotone System of Linear Inequalities
We consider the problem of enumerating all minimal integer solutions of a monotone system of linear inequalities. We first show that for any monotone system of r linear inequaliti...
Endre Boros, Khaled M. Elbassioni, Vladimir Gurvic...
LICS
2005
IEEE
8 years 11 months ago
A Polynomial Time Presburger Criterion and Synthesis for Number Decision Diagrams
Number Decision Diagrams (NDD) are the automatabased symbolic representation for manipulating sets of integer vectors encoded as strings of digit vectors (least or most significa...
Jérôme Leroux
CADE
2009
Springer
9 years 6 months ago
A Generalization of Semenov's Theorem to Automata over Real Numbers
Abstract This work studies the properties of finite automata recognizing vectors with real components, encoded positionally in a given integer numeration base. Such automata are us...
Bernard Boigelot, Jérôme Leroux, Juli...
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