Are tableaux an improvement on truth-tables?

Journal of Logic, Language and Information 1 (3):235-252 (1992)
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Abstract

We show that Smullyan's analytic tableaux cannot p-simulate the truth-tables. We identify the cause of this computational breakdown and relate it to an underlying semantic difficulty which is common to the whole tradition originating in Gentzen's sequent calculus, namely the dissonance between cut-free proofs and the Principle of Bivalence. Finally we discuss some ways in which this principle can be built into a tableau-like method without affecting its analytic nature.

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Marcello D'Agostino
Università degli Studi di Milano

References found in this work

First-order logic.Raymond Merrill Smullyan - 1968 - New York [etc.]: Springer Verlag.
First-order Logic.William Craig - 1975 - Journal of Symbolic Logic 40 (2):237-238.
Formal logic: its scope and limits.Richard C. Jeffrey - 1967 - Indianapolis, IN: Hackett.

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