Selecting the selection
Paper in proceedings, 2016

Modern saturation-based Automated Theorem Provers typically implement the superposition calculus for reasoning about first-order logic with or without equality. Practical implementations of this calculus use a variety of literal selections and term orderings to tame the growth of the search space and help steer proof search. This paper introduces the notion of lookahead selection that estimates (looks ahead) the effect of selecting a particular literal on the number of immediate children of the given clause and selects to minimize this value. There is also a case made for the use of incomplete selection strategies that attempt to restrict the search space instead of satisfying some completeness criteria. Experimental evaluation in the VAMPIRE theorem prover shows that both lookahead selection and incomplete selection significantly contribute to solving hard problems unsolvable by other methods.

Author

Kryštof Hoder

University of Manchester

G. Reger

University of Manchester

M. Suda

University of Manchester

Andrei Voronkov

Chalmers, Computer Science and Engineering (Chalmers), Software Technology (Chalmers)

Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)

03029743 (ISSN) 16113349 (eISSN)

Vol. 9706 313-329

Subject Categories

Computer and Information Science

DOI

10.1007/978-3-319-40229-1_22

ISBN

978-3-319-40228-4

More information

Latest update

2/28/2018