On the Use of Weak Automata for Deciding Linear Arithmetic with Integer and Real Variables

Boigelot, Bernard; Jodogne, Sébastien; Wolper, Pierre

doi:10.1007/3-540-45744-5_50

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On the Use of Weak Automata for Deciding Linear Arithmetic with Integer and Real Variables

Boigelot, Bernard; Jodogne, Sébastien; Wolper, Pierre

2001 • In Lecture Notes in Computer Science, 2083, p. 611-625

Peer reviewed

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https://hdl.handle.net/2268/21102

DOI
10.1007/3-540-45744-5_50

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Keywords :

Presburger Arithmetic; Automata; reals; integers

Abstract :

[en] This paper considers finite-automata based algorithms for handling linear arithmetic with both real and integer variables. Previous work has shown that this theory can be dealt with by using finite automata on in finite words, but this involves some difficult and delicate to implement algorithms. The contribution of this paper is to show, using topological arguments, that only a restricted class of automata on in finite words are necessary for handling real and integer linear arithmetic. This allows the use of substantially simpler algorithms and opens the path to the implementation of a usable system for handling this combined theory.

Disciplines :

Computer science

Author, co-author :

Boigelot, Bernard ; Université de Liège - ULiège > Dép. d'électric., électron. et informat. (Inst.Montefiore) > Informatique

Jodogne, Sébastien ; Université de Liège - ULiège > Département d'Electricité, Electronique et Informatique > Informatique

Wolper, Pierre ; Université de Liège - ULiège > Dép. d'électric., électron. et informat. (Inst.Montefiore) > Informatique (parallélisme et banques de données)

Language :

English

Title :

On the Use of Weak Automata for Deciding Linear Arithmetic with Integer and Real Variables

Publication date :

2001

Event name :

First International Joint Conference on Automated Reasoning (IJCAR)

Event place :

Siana, Italy

Event date :

June 18–22 2001

Audience :

International

Journal title :

Lecture Notes in Computer Science

ISSN :

0302-9743

eISSN :

1611-3349

Publisher :

Springer, Berlin, Germany

Volume :

2083

Pages :

611-625

Peer reviewed :

Peer reviewed

Funders :

Communauté française de Belgique - Direction de la recherche scienti que - Actions de recherche concertées

Available on ORBi :

since 04 September 2009

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Bibliography

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