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Semantically guided first-order theorem proving using hyper-linking

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Automated Deduction — CADE-12 (CADE 1994)

Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 814))

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Abstract

We present a new procedure, semantic hyper-linking, which uses semantics to guide an instance-based clause-form theorem prover. Semantics for the input clauses is given as input. During the search for the proof, ground instances of the input clauses are generated and new semantic structures are built based on the input semantics and a model of the ground clause set. A proof is found if the ground clause set is unsatisfiable. We give some results in proving hard theorems using semantic hyper-linking; no other special human guidance was given to prove those hard problems. We also show that our method is powerful even with a trivial semantics (that is, even with no guidance in the form of semantic information).

This research was partially supported by the National Science Foundation under grant CCR-9108904

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Alan Bundy

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© 1994 Springer-Verlag Berlin Heidelberg

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Chu, H., Plaisted, D.A. (1994). Semantically guided first-order theorem proving using hyper-linking. In: Bundy, A. (eds) Automated Deduction — CADE-12. CADE 1994. Lecture Notes in Computer Science, vol 814. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-58156-1_14

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  • DOI: https://doi.org/10.1007/3-540-58156-1_14

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