The logic of proofs, semantically

Annals of Pure and Applied Logic 132 (1):1-25 (2005)
Abstract
A new semantics is presented for the logic of proofs (LP), [1, 2], based on the intuition that it is a logic of explicit knowledge. This semantics is used to give new proofs of several basic results concerning LP. In particular, the realization of S4 into LP is established in a way that carefully examines and explicates the role of the + operator. Finally connections are made with the conventional approach, via soundness and completeness results.
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DOI 10.1016/j.apal.2004.04.009
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References found in this work BETA
Explicit Provability and Constructive Semantics.Sergei N. Artemov - 2001 - Bulletin of Symbolic Logic 7 (1):1-36.

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Citations of this work BETA
The Logic of Justification.Sergei Artemov - 2008 - Review of Symbolic Logic 1 (4):477-513.
The Logic of Uncertain Justifications.Robert S. Milnikel - 2014 - Annals of Pure and Applied Logic 165 (1):305-315.
A Logic of Justification and Truthmaking.Alessandro Giordani - 2013 - Review of Symbolic Logic 6 (2):323-342.

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