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Efficient loop-check for KD 45 logic
Lithuanian Mathematical Journal, 2006We introduce a new sequent calculus for KD 45 logic. A loop-check technique is used to determine whether a sequent derivable or not. We concentrate ourselves on the efficiency of the loop-check technique used. The efficiency is obtained by making the loop-check to act locally (then we need to check only one or two current sequents), instead of a global
exaly +2 more sources
Loop-Check Specification for a Sequent Calculus of Temporal Logic
Studia Logica, 2022zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Romas Alonderis +3 more
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Loop checking and the well-founded semantics
1995Using a calculus of goals, we define the success and failure of a goal for propositional programs in the presence of loop checking. The calculus is sound with respect to the well-founded semantics; for finite programs, it is also complete. A Prolog-style proof search strategy for a modification of this calculus provides a query evaluation algorithm for
Vladimir Lifschitz +3 more
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An extended variant of atoms loop check for positive logic programs
New Generation Computing, 1997The Equality check and the Subsumption check are weakly sound, but are not complete even for function-free logic programs. Although the OverSize (OS) check is complete for positive logic programs, it is too general in the sense that it prunes SLD-derivations merely based on the depth-bound of repeated predicate symbols and the size of atoms, regardless
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Efficient loop-check for backward proof search in some non-classical propositional logics
1996We consider the modal logics KT and S4, the tense logic Kt, and the fragment IPC(∧,→) of intuitionistic logic.
Alain Heuerding +2 more
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