Title
A New Class of Automated Theorem-Proving Algorithms
Abstract
A procedure is defined for deriving from any statement S an infinite sequence of statements S0, S1, S2, S3, ··· such that: (a) if there exists an i such that Si is unsatisfiable, then S is unsatisfiable; (b) if S is unsatisfiable, then there exists an i such that Si is unsatisfiable; (c) for all i the Herbrand universe of Si is finite; hence, for each i the satisfiability of Si is decidable. The new algorithms are then based on the idea of generating successive Si in the sequence and testing each Si for satisfiability. Each element in the class of new algorithms is complete.
Year
DOI
Venue
1974
10.1145/321812.321814
Journal of the ACM (JACM)
Keywords
DocType
Volume
New Class,automated theorem-proving,Automated Theorem-Proving Algorithms,statements S0,Herbrand universe,new class,infinite sequence,successive Si,new algorithm,resolution,hyperresolution,automated theorem
Journal
21
Issue
ISSN
Citations 
2
0004-5411
5
PageRank 
References 
Authors
1.22
13
1
Name
Order
Citations
PageRank
Ross A. Overbeek1760234.40