… logic for fixed-point recursion. One of the strengths of the categorical approach to logic is that
the same categorical … consider the categorical semantics of first-order predicate logic, using …

The aim of these notes is to provide a succinct, accessible introduction to some of the basic
ideas of category theory and categorical logic. The notes are based on a lecture course …

… be happy when we stress the logical or the categorical aspects, and even graph theorists …
categorical logic, as there already exists a classical monograph on first order categorical logic …

… and the nature of mathematical objects emerges naturally from categorical logic. … categorical
logic, that is the time span between 1963 and 1977. No one will deny that categorical logic …

… THE DEVELOPMENT OF CATEGORICAL LOGIC While categorical logic is of very recent …
a number of interesting minor ones) in categorical logic, following which I offer a more detailed …

… modern logic, (program) semantics, and categorical logic. Especially the unfamiliarity with the
modern methods of categorical logic … semantics and logic (notably the categorical dualities …

… Another aspect of the categorical logic, … categorical logic, logical theories of a particular kind
are themselves identified with particular varieties of category (possibly with extra, categorical …

Publisher Summary This chapter presents category-theoretic methods in logic; the focus is on
model theory and set theory. It is organized by increasing richness of the doctrines involved…

… ] on coherent and infinitary logic and the study of models of elementary theories by Makkai
and Par~ [1990]. Nor do the many profound contributions to categorical logic by Andr~ Joyal …

… The importance of this categorical rôle of contexts is our motivation for paying more than
usual attention to contexts in our formulations of type theory and logic. (ii) Appropriately typed …