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Combining Equational Theories Sharing Non-Collapse-Free Constructors (1999)  (Make Corrections)  (5 citations)
Franz Baader, Cesare Tinelli
Proceedings of the 3rd International Workshop on Frontiers of Combining Systems (FroCoS 2000)



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Abstract: . In this paper we extend the applicability of our combination method for decision procedures for the word problem to theories sharing non-collapse-free constructors. This extension broadens the scope of the combination procedure considerably, for example in the direction of equational theories axiomatizing the equivalence of modal formulae. 1 Introduction The word problem for a theory E is concerned with the question of whether two terms are equal in all models of E. In [4] we provided... (Update)

Context of citations to this paper:   More

...provided by the new definition of constructors. Because of space limitations, we refer the reader to the longer version of this paper [3] for detailed proofs of our results. 2 Word Problems and Satisfiability Problems We will use V to denote a countably infinite set of...

...to combine decision procedures for the word problem. The paper then presents a method that solves this kind of combination problem. In [11, 12] it is shown that this approach can also be extended to the case of theories sharing constructors. 5 Recall that (X ) denotes the...

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5:   Combination techniques for non-disjoint equational theories - Domenjoud, Klay et al. - 1994
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BibTeX entry:   (Update)

F. Baader and C. Tinelli. Combining equational theories sharing non-collapse-free constructors. TR 99-13, Dept. of Computer Science, University of Iowa, 1999. http://citeseer.ist.psu.edu/article/baader99combining.html   More

@inproceedings{ baader00combining,
    author = "F. Baader and C. Tinelli",
    title = "Combining Equational Theories Sharing Non-Collapse-Free Constructors",
    booktitle = "Proceedings of the 3rd International Workshop on Frontiers of Combining Systems (FroCoS 2000)",
    volume = "1794",
    publisher = "Springer-Verlag",
    address = "Nancy, France",
    editor = "H.~Kirchner and Ch.~Ringeissen",
    pages = "257--271",
    year = "2000",
    url = "citeseer.ist.psu.edu/article/baader99combining.html" }
Citations (may not include all citations):
44   Combination techniques for nondisjoint equational theories - Domenjoud, Klay et al. - 1994
30   Combining matching algorithms: The regular case (context) - Nipkow - 1989  ACM   DBLP
28   Combination of constraint solvers for free and quasifree str.. (context) - Baader, Schulz - 1998
26   Combination of unification algorithms (context) - Schmidt-Schau - 1989  ACM   DBLP
21   Tools and Techniques in Modal Logic (context) - Kracht - 1999
21   Unification of concept terms in description logics - Baader, Narendran - 1998  ACM   DBLP
20   General theory of Boolean algebras (context) - Koppelberg - 1988
17   The join of equational theories (context) - Pigozzi - 1974
17   Simulation and transfer results in modal logic: A survey (context) - Kracht, Wolter - 1997
15   Algebraic semantics for modal logics (context) - Lemmon - 1966
9   Complexity transfer for modal logic (context) - Hemaspaandra - 1994
5   Combining equational theories sharing non-collapse-free cons.. - Baader, Tinelli - 1999  ACM   DBLP



The graph only includes citing articles where the year of publication is known.


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A New Approach for Combining Decision Procedures for the Word .. - Baader, Tinelli (1997)   (Correct)
Combining Equational Theories Sharing Non-Collapse-Free.. - Baader, Tinelli (1999)   (Correct)
Constraint Logic Programming over Unions of Constraint Theories - Tinelli, Harandi (1998)   (Correct)

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