Functorial Semantics for Relational Theories
Copyright policy )Functorial Semantics for Relational Theories
We introduce the concept of Frobenius theory as a generalisation of Lawvere's functorial semantics approach to categorical universal algebra. Whereas the universe for models of Lawvere theories is the category of sets and functions, or more generally cartesian categories, Frobenius theories take their models in the category of sets and relations, or more generally in cartesian bicategories.
FOS: Computer and information sciences, Computer Science - Logic in Computer Science, Computer Science - Programming Languages, FOS: Mathematics, Mathematics - Category Theory, Category Theory (math.CT), Logic in Computer Science (cs.LO), Programming Languages (cs.PL)
FOS: Computer and information sciences, Computer Science - Logic in Computer Science, Computer Science - Programming Languages, FOS: Mathematics, Mathematics - Category Theory, Category Theory (math.CT), Logic in Computer Science (cs.LO), Programming Languages (cs.PL)
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