Simultaneous Search in Connection Tableau Calculi by Means of Disjunctive Constraints

Ortrun Ibens, Institut für Informatik, Technische Universität München, German

Automated theorem proving with connection tableau calculi imposes search problems in tremendous search spaces. In this paper, we present a new approach to search space reduction in connection tableau calculi. In our approach structurally similar parts of the search space are compressed by means of disjunctive constraints. We describe the necessary changes of the calculus, and we develop elaborate techniques for an efficient constraint processing. Moreover, we present an experimental evaluation of our approach.

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