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Mon, 03 Apr 2000 00:00:00 +0200Mon, 03 Apr 2000 00:00:00 +0200Reformulating Resolution Problems by Tactics
https://kluedo.ub.uni-kl.de/frontdoor/index/index/docId/272
A straightforward formulation of a mathematical problem is mostly not ad-equate for resolution theorem proving. We present a method to optimize suchformulations by exploiting the variability of first-order logic. The optimizingtransformation is described as logic morphisms, whose operationalizations aretactics. The different behaviour of a resolution theorem prover for the sourceand target formulations is demonstrated by several examples. It is shown howtactical and resolution-style theorem proving can be combined.Manfred Kerber; Axel Präckleinarticlehttps://kluedo.ub.uni-kl.de/frontdoor/index/index/docId/272Mon, 03 Apr 2000 00:00:00 +0200Tactics for the Improvement of Problem Formulation in Resolution-Based Theorem Proving
https://kluedo.ub.uni-kl.de/frontdoor/index/index/docId/335
We transform a user-friendly formulation of aproblem to a machine-friendly one exploiting the variabilityof first-order logic to express facts. The usefulness of tacticsto improve the presentation is shown with several examples.In particular it is shown how tactical and resolution theoremproving can be combined.Manfred Kerber; Axel Präckleinpreprinthttps://kluedo.ub.uni-kl.de/frontdoor/index/index/docId/335Mon, 03 Apr 2000 00:00:00 +0200