Quantified Propositional Calculus and a Second-Order Theory for NC¹ (2004)
by
Stephen Cook
,
Tsuyoshi Morioka
| Citations: | 6 - 0 self |
BibTeX
@MISC{Cook04quantifiedpropositional,
author = {Stephen Cook and Tsuyoshi Morioka},
title = {Quantified Propositional Calculus and a Second-Order Theory for NC¹},
year = {2004}
}
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Abstract
Let H be a proof system for the quantified propositional calculus (QPC). We j -witnessing problem for H to be: given a prenex S j -formula A, an H-proof of A, and a truth assignment to the free variables in A, find a witness for the outermost existential quantifiers in A. We point out that the S witnessing problems for the systems G 1 and G 1 are complete for polynomial time and PLS (polynomial local search), respectively. We introduce
