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However as soon as one tries to give a compositional semantics for DRT, it becomes clear that the true semantic objects have a dynamic side: they contain instructions for merging the databases.
According to some authors, only structures that have a language-like combinatorial syntax, which supports a compositional semantics, count as computational vehicles, and only manipulations that respect the semantic properties of such structures count as computations (Fodor 1975, Pylyshyn 1984).
Learning dependency-based compositional semantics.
Lambda dependency-based compositional semantics.
Bringing machine learning and compositional semantics together.
A Bayesian Model of the Acquisition of Compositional Semantics.
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Moreover, it can be shown that every Tarskian consequence relation has a bivalent, although non-compositional semantics, cf. Malinowski 1993, Shramko and Wansing 2011: Chapter 9. 2. The basic systems of Nelson's constructive logics with strong negation, N4 and N4$^{\bot}$, have a four-valued possible worlds semantics.
In the generic component framework components with explicit import, export interfaces and a body specification connected by embeddings and transformations provide hierarchical composition of components with a compositional transformation semantics.
In our generic component framework we have considered components with explicit import, export and body parts connected by embeddings and transformations and composition of components with a compositional transformation semantics.
Along this the way we will: develop a sense of what it means for a semantic theory to be compositional; ask how debates within a compositional semantic theory interact with foundational questions in the philosophy of language; and develop a conception of how natural language semantics relates to syntax, to pragmatics, and to psychological theories of human cognition.
From this perspective, the demand for a compositional fictionalist semantics for mathematical sentences is misplaced for the reason that the fictionalist does not propose a different semantics for mathematical sentences at all.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com