Austinian truth in Martin-L¨of type theory

Abstract
A statement is said to be true when the historic state of affairs to which it is correlated by the demonstrative conventions (the ones to which it ‘refers’) is of a type with which the sentence used in making it is correlated by the descriptive conventions.
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Truth in the Tractatus.Hans Johann Glock - 2006 - Synthese 148 (2):345 - 368.
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