Abstract
Some problems concerning the satisfiability of first-order predicate calculus formulae in Schonfinkel-Bernays form provide a natural hierarchy of complete problems for various complexity classes. Also, problems concerning the existence of resolution proofs from sets of clauses not necessarily in Schonfinkel-Bernays form provide another such hierarchy. In this way we obtain problems complete for P, NP, PSPACE, deterministic and nondeterministic exponential, deterministic and nondeterministic double exponential time, and exponential space. The results concerning resolution proofs may have practical implications for the design of resolution theorem proving programs. Also, these results enable us to make precise statements about the relative difficulty of various resolution strategies. Some connections with temporal logic and alternating Turing machines are discussed.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
