Comments on some completeness theorems of Urquhart and méndez & Salto

Journal of Philosophical Logic 30 (1):51-55 (2001)
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Abstract

Urquhart and Méndez and Salto claim to establish completeness theorems for the system C and two of its negation extensions. In this note, we do the following three things: (1) provide a counterexample to all of these alleged completeness theorems, (2) attempt to diagnose the mistakes in the reported completeness proofs, and (3) provide complete axiomatizations of the desired systems

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Branden Fitelson
Northeastern University