In Tu-Bao Ho & Zhi-Hua Zhou (eds.), PRICAI 2008: Trends in Artificial Intelligence. Springer. pp. 128--139 (2008)

Joanna Golinska-Pilarek
University of Warsaw
We introduce an Automatic Theorem Prover (ATP) of a dual tableau system for a relational logic for order of magnitude qualitative reasoning, which allows us to deal with relations such as negligibility, non-closeness and distance. Dual tableau systems are validity checkers that can serve as a tool for verification of a variety of tasks in order of magnitude reasoning, such as the use of qualitative sum of some classes of numbers. In the design of our ATP, we have introduced some heuristics, such as the so called phantom variables, which improve the efficiency of the selection of variables used un the proof.
Keywords qualitative reasoning  order-of-magnitude reasoning  relational logic  dual tableaux  automated theorem prover
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Relational Interpretation of Modal Logics.Ewa Orlowska - 1988 - Bulletin of the Section of Logic 17 (1):2-10.

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