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Epsilon, Delta, and Speed-Ups WORK in PROGRESS
"... Abstract. This paper studies the applicability of Hilbert’s ε-calculus in automated reasoning, in particular its incorporation in free-variable tableaux is investigated. Based on this study a careful comparison between δε-tableaux [1] and δ-tableaux [8] becomes possible. Finally, in the spirit of [8 ..."
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Abstract. This paper studies the applicability of Hilbert’s ε-calculus in automated reasoning, in particular its incorporation in free-variable tableaux is investigated. Based on this study a careful comparison between δε-tableaux [1] and δ-tableaux [8] becomes possible. Finally, in the spirit of [8], a new liberalization of the δ-rule [3] is defined. This liberalization allows a non-elementary speed-up over δ-tableaux. 1
Resolution with Order and Selection for Hybrid Logics
- JOURNAL OF AUTOMATED REASONING
"... We investigate resolution calculi for hybrid logics with inference rules restricted via selection functions and orders. We start by providing a sound and refutationally complete resolution calculus for the hybrid logic H( ..."
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We investigate resolution calculi for hybrid logics with inference rules restricted via selection functions and orders. We start by providing a sound and refutationally complete resolution calculus for the hybrid logic H(
