Pumping, Cleaning and Symbolic Constraints Solving  (Make Corrections)  
Anne-Cécile Caron, Hubert Comon, Jean-Luc Coquidé, Max Dauchet, Florent Jacquemard

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Abstract: We define a new class of tree automata which generalizes both the encompassment automata of [3] and the automata with tests between brothers of [2]. We give a pumping lemma for these automata, which implies that the emptiness of the corresponding language is decidable. Then, we show how to decide emptiness by means of a "cleaning" algorithm, which leads to more effective decision procedures. Introduction Ground reducibility of a term t with respect to a term rewriting system R is the ... (Update)

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BibTeX entry:   (Update)

@misc{ caron-pumping,
  author = "Anne-Cécile Caron and Hubert Comon and Jean-Luc Coquidé and
    Max Dauchet and Florent Jacquemard",
  title = "Pumping, Cleaning and Symbolic Constraints Solving",
  url = "citeseer.comp.nus.edu.sg/140262.html" }
Citations (may not include all citations):
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118   Complete axiomatizations of the algebras of finite (context) - Maher - 1988
51   Proof by consistency in equational theories (context) - Bachmair - 1988
50   Semantic confluence tests and completion method (context) - Plaisted - 1985
41   Encompassment properties and automata with constraints (context) - Caron, Coquid'e et al. - 1993
41   Encompassment properties and automata with constraints (context) - Caron, Coquid'e et al. - 1993
34   Automatic proofs by induction in theories without constructo.. (context) - Jouannaud, Kounalis - 1989
31   On sufficient-completeness and related properties of term re.. (context) - Kapur, Narendran et al. - 1987
30   Equality and disequality constraints on direct subterms in t.. (context) - Bogaert, Tison - 1992
20   Equational formulas on order-sorted algebras (context) - Comon - 1990
16   Laboratoire d'Informatique Fondamentale de Lille (context) - Mongy, reconnaissables et al. - 1981
11   Narrowing based procedures for equational disunification (context) - Fern'andez - 1992
10   Structural complexity of classes of tree languages (context) - Dauchet, Tison - 1992
6   Unification et disunification (context) - Comon - 1988
5   reducibility in term rewriting systems (context) - Kounalis, the et al. - 1992
1   Order-sorted unification with term declarations (context) - Socher-Ambrosius - 1993

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