Formal features of compositionality

Abstract
We consider two formalisations of the notion of a compositionalsemantics for a language, and find some equivalent statements in termsof substitutions. We prove a theorem stating necessary and sufficientconditions for the existence of a canonical compositional semanticsextending a given partial semantics, after discussing what features onewould want such an extension to have. The theorem involves someassumptions about semantical categories in the spirit of Husserl andTarski.
Keywords compositionality  fully abstract  semantic category  semantics
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Reprint years 2004
DOI 10.1023/A:1026502210492
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Compositionality I: Definitions and Variants.Peter Pagin - 2010 - Philosophy Compass 5 (3):250-264.
Communication and Strong Compositionality.Peter Pagin - 2003 - Journal of Philosophical Logic 32 (3):287-322.
Pure Quotation and General Compositionality.Peter Pagin & Dag Westerståhl - 2010 - Linguistics and Philosophy 33 (5):381-415.

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