A New Combination Procedure for the Word Problem that Generalizes Fusion Decidability Results in Modal Logics

Franz BaaderFranz Baader, S. GhilardiS. Ghilardi, Cesare TinelliCesare Tinelli

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Franz Baader, S. Ghilardi, Cesare Tinelli
A New Combination Procedure for the Word Problem that Generalizes Fusion Decidability Results in Modal Logics
In D. Basin and M. Rusinowitch, eds., Proceedings of the 2nd International Joint Conference on Automated Reasoning (IJCAR'04), volume 3097 of Lecture Notes in Artificial Intelligence, 183-197, 2004. Springer

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KurzfassungAbstract
Previous results for combining decision procedures for the word problem in the non-disjoint case do not apply to equational theories induced by modal logics---whose combination is not disjoint since they share the theory of Boolean algebras. Conversely, decidability results for the fusion of modal logics are strongly tailored towards the special theories at hand, and thus do not generalize to other equational theories. In this paper, we present a new approach for combining decision procedures for the word problem in the non-disjoint case that applies to equational theories induced by modal logics, but is not restricted to them. The known fusion decidability results for modal logics are instances of our approach. However, even for equational theories induced by modal logics our results are more general since they are not restricted to so-called normal modal logics.
Forschungsgruppe:Research Group: AutomatentheorieAutomata Theory

The final publication is available at Springer.

@inproceedings{ BaaderEtAlIJCAR04,
  author = {F. {Baader} and S. {Ghilardi} and C. {Tinelli}},
  booktitle = {Proceedings of the 2nd International Joint Conference on Automated Reasoning ({IJCAR'04})},
  editor = {D. {Basin} and M. {Rusinowitch}},
  pages = {183--197},
  publisher = {Springer-Verlag},
  series = {Lecture Notes in Artificial Intelligence},
  title = {A New Combination Procedure for the Word Problem that Generalizes Fusion Decidability Results in Modal Logics},
  volume = {3097},
  year = {2004},
}