Notre Dame Journal of Formal Logic

A Constructive Valuation Semantics for Classical Logic

Franco Barbanera and Stefano Berardi


This paper presents a constructive interpretation for the proofs in classical logic of $\Sigma^0_1$ -sentences and for a witness extraction procedure based on Prawitz's reduction rules.

Article information

Notre Dame J. Formal Logic Volume 37, Number 3 (1996), 462-482.

First available in Project Euclid: 14 December 2002

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Mathematical Reviews number (MathSciNet)

Zentralblatt MATH identifier

Primary: 03B10: Classical first-order logic
Secondary: 03F07: Structure of proofs


Barbanera, Franco; Berardi, Stefano. A Constructive Valuation Semantics for Classical Logic. Notre Dame J. Formal Logic 37 (1996), no. 3, 462--482. doi:10.1305/ndjfl/1039886522.

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