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A reduction class containing formulas with one monadic predicate and one binary function symbol

Published online by Cambridge University Press:  12 March 2014

Charles E. Hughes*
Affiliation:
University of Tennessee, Knoxville, Tennessee 37916

Abstract

A new reduction class is presented for the satisfiability problem for well-formed formulas of the first-order predicate calculus. The members of this class are closed prenex formulas of the form ∀x∀yC. The matrix C is in conjunctive normal form and has no disjuncts with more than three literals, in fact all but one conjunct is unary. Furthermore C contains but one predicate symbol, that being unary, and one function symbol which symbol is binary.

Type
Research Article
Copyright
Copyright © Association for Symbolic Logic 1976

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References

REFERENCES

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