Titlebook: Automated Deduction — CADE-12; 12th International C Alan Bundy Conference proceedings 1994 Springer-Verlag Berlin Heidelberg 1994 Automatis

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Italian and Italian American Studiesows to tackle theorems whose proofs requires complicated noetherian induction. We also give a disproof theorem, which is not only useful to prove that a conjecture is false but is also used to shorten the proof search of a theorem. We show applications of the method to fragments of arithmetic.

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https://doi.org/10.1007/3-540-58156-1Automatisches Schließen; KI-Logiken; Logic Programming; Logisches Prorammieren; Term Rewriting; Term-Erse

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The search efficiency of theorem proving strategies,e search spaces of exponential size even on simple sets of clauses, or else are not sensitive to the goal. We also discuss clause linking, a new procedure that uses a reduction to propositional calculus, and show that it, together with methods that cache subgoals, have behavior that is more favorable in some respects.

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Model elimination without contrapositives,sound and complete. The corresponding proof procedures are evaluated by a number of runtime experiments and they are compared to other well known provers. Finally we relate our results to other calculi, namely the connection method, modified problem reduction format and Near-Horn Prolog.

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N. Rietbrock,M. Schlepper,E. Busanny-Caspari While in general the recursion orderings of the given function definitions form the induction ordering this approach often fail for existence proofs. In many cases a completely new induction ordering has to be invented to prove an existence formula. In this paper we describe a top-down approach for