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Semantics in Banach spaces

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Abstract

A new approach to semantics, based on ordered Banach spaces, is proposed. The Banach spaces semantics arises as a generalization of the four particular cases: the Giles' approach to belief structures, its generalization to the non-Boolean case, and “fuzzy extensions” of Boolean as well as of non-Boolean semantics.

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Bugajski, S. Semantics in Banach spaces. Stud Logica 42, 81–88 (1983). https://doi.org/10.1007/BF01418761

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