Dec 20, 2016 · We provide a precise mathematical definition for first-order views used in parameterised specifications and we also provide a dual semantics for them.
May 2, 2014 · U could be any functor. For instance, it could send everything to one object. Also, what does it mean for a map to "respect the structure" of a ...
Missing: semantics views.
A theory of classifying topoi which treats first-order model theory using a strongly functorial approach, empha- sizing adjointness and universality, is now ...
The functorial semantics of algebraic theories goes back to the sixties, to Law- vere's thesis [16]. The theory of categorical universal algebra which arose ...
Sep 6, 2022 · The phrase “functorial semantics” casts a broad net over a pattern of results at least in the development of algebraic theories, finite-limit ...
Jun 2, 2019 · A first-order theory is a set of axioms, sentences that can be written down using logical symbols and a chosen bunch of n-ary predicate symbols.
In mathematical logic, predicate functor logic (PFL) is one of several ways to express first-order logic by purely algebraic means, i.e., without quantified ...
the usual first-order theory of categories (i.e. the one whose only axioms are associativ- ity, etc.) to obtain the first-order theory of the category of ...
May 18, 2021 · A model of a Lawvere theory C in a cartesian category S is a cartesian functor C→S. This powerful notion of functorial semantics is distinctive ...
Mar 11, 2019 · The goal of the present elaboration is to give a compact introduction to a categorical version of first-order logic that is fully self-contained ...