Implicit Partiality of Signature Morphisms in Institution Theory

In Judit Madarász & Gergely Székely, Hajnal Andréka and István Németi on Unity of Science: From Computing to Relativity Theory Through Algebraic Logic. Springer. pp. 81-123 (2021)
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Abstract

We develop an extension of institution theory that accommodates implicitly the partiality of the signature morphisms and its syntactic and semantic effects. This is driven primarily by applications to conceptual blending, but other application domains are possible. The particularity of this extension is a reliance on ordered-enriched categorical structures. This work is dedicated to Hajnal Andréka and István Németi whose early work played an important role in shaping the abstract model theory dream of the author.

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10.1007/978-3-030-64187-0_4

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