Types as graphs: Continuations in type logical grammar [Book Review]

Abstract
Using the programming-language concept of continuations, we propose a new, multimodal analysis of quantification in Type Logical Grammar. Our approach provides a geometric view of in-situ quantification in terms of graphs, and motivates the limited use of empty antecedents in derivations. Just as continuations are the tool of choice for reasoning about evaluation order and side effects in programming languages, our system provides a principled, type-logical way to model evaluation order and side effects in natural language. We illustrate with an improved account of quantificational binding, weak crossover, wh-questions, superiority, and polarity licensing
Keywords continuations  type-logical grammar  resource sensitivity  quantification  polarity licensing  binding  superiority  evaluation order  staging  delimited continuations
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Citations of this work BETA
Michael Moortgat (2009). Symmetric Categorial Grammar. Journal of Philosophical Logic 38 (6):681 - 710.
Alastair Butler (2011). Semantically Restricted Argument Dependencies. Journal of Logic, Language and Information 20 (1):69-114.
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