A type reduction from proof-conditional to dynamic semantics

Journal of Philosophical Logic 30 (2):121-153 (2001)
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Abstract

Dynamic and proof-conditional approaches to discourse (exemplified by Discourse Representation Theory and Type-Theoretical Grammar, respectively) are related through translations and transitions labeled by first-order formulas with anaphoric twists. Type-theoretic contexts are defined relative to a signature and instantiated modeltheoretically, subject to change

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