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Refinements to depth-first iterative-deepening search in automatic theorem proving

✍ Scribed by Xumin Nie; David A. Plaisted


Publisher
Elsevier Science
Year
1989
Tongue
English
Weight
639 KB
Volume
41
Category
Article
ISSN
0004-3702

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✦ Synopsis


This paper will dzscuss two refinements to the depth-first tteratlve-deepemng search strategy The first refinement, the priority system, ts an attempt to simulate best-first search usmg depth-first tterattvedeepenmg search A new data structure, the priority hst, ts introduced mto depth-first tterattvedeepenmg search by the refinement Some complexity results about the priority system are also given The second refinement ts based on a syntactic vtewpomt of proof development, which views the process of findmg proofs as an mcremental process of construcung mstances with a certain property We quantify thzs process to control the depth-first tteratlve-deepenmg search. Both refinements have been implemented zn a sequent-style back chammg theorem prover and tested on a large number of problems and have been shown to be effectwe