Predicate logic with flexibly binding operators and natural language semantics

A new formalism for predicate logic is introduced, with a non-standard method of binding variables, which allows a compositional formalization of certain anaphoric constructions, including donkey sentences and cross-sentential anaphora. A proof system in natural deduction format is provided, and the formalism is compared with other accounts of this type of anaphora, in particular Dynamic Predicate Logic.
Keywords anaphora  compositionality  DPL  dynamic semantics  variable-binding
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DOI 10.1007/BF01050634
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Richard Montague (1975). Formal Philosophy. Canadian Journal of Philosophy 4 (3):573-578.

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