Equality in the Presence of Apartness: An Application of Structural Proof Analysis to Intuitionistic Axiomatics

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Philosophia Scientiae:61-79 (2006)
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Abstract

The theories of apartness, equality, and n-stable equality are presented through contraction- and cut-free sequent calculi. By methods of proof analysis, a purely proof-theoretic characterization of the equality fragment of apartness is obtained.

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10.4000/philosophiascientiae.408

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