Thus, we propose a definition of abstract categorical logic which differs from previous approaches (essentially institutions) by defining the formulas inductively from the usual propositional connectives, and an abstraction of both atomic formulas and quantifiers.
Nov 17, 2022
Jul 4, 2024 · Drawing upon concepts from categorical logic, this abstract logic interprets formulas from context as subobjects in a specific category, e.g., ...
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We present in this paper an abstract categorical logic based on an abstraction of quantifier. More precisely, the proposed logic is abstract because no ...
Nov 17, 2022 · Abstract. We present in this paper an abstract categorical logic based on an abstraction of quantifier. More precisely, the proposed logic ...
Categorical logic is a relatively new field arising from the application of the mathematical theory of categories to logic and theoretical computer science.
Jul 4, 2024 · Drawing upon concepts from categorical logic, this abstract logic interprets formulas from context as subobjects in a specific category, e.g.,.
Nov 17, 2022 · Drawing upon concepts from categorical logic, this abstract logic interprets formulas from context as subobjects in a specific category, e.g., ...