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Examining Fragments of the Quantified Propositional Calculus
2008
Journal of Symbolic Logic (JSL)
When restricted to proving formulas, the quantified propositional proof system is closely related to the theorems of Buss's theory . Namely, has polynomial-size proofs of the translations of theorems of , and proves that is sound. However, little is known about when proving more complex formulas. In this paper, we prove a witnessing theorem for similar in style to the KPT witnessing theorem for . This witnessing theorem is then used to show that proves is sound with respect to formulas. Note
doi:10.2178/jsl/1230396765
fatcat:file2pnqujgvliksajephdbn34