A type reduction from proof-conditional to dynamic semantics
Journal of Philosophical Logic 30 (2):121-153 (2001)
| 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 model-theoretically, subject to change. | |||||||||
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Ole T. Hjortland (2009). The Structure of Logical Consequence : Proof-Theoretic Conceptions. Dissertation, University of St Andrews
Paul C. Gilmore (2001). An Intensional Type Theory: Motivation and Cut-Elimination. Journal of Symbolic Logic 66 (1):383-400.
Sachio Hirokawa, Yuichi Komori & Izumi Takeuti (1996). A Reduction Rule for Peirce Formula. Studia Logica 56 (3):419 - 426.
Alexandru Baltag & Sonja Smets (2008). Probabilistic Dynamic Belief Revision. Synthese 165 (2):179 - 202.
Friederike Moltmann (2006). Unbound Anaphoric Pronouns: E-Type, Dynamic, and Structured-Propositions Approaches. Synthese 153 (2):199 - 260.
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