The (π, Λ)-structures on the C-systems Defined by Universe Categories
نویسنده
چکیده
We define the notion of a (P, P̃ )-structure on a universe p in a locally cartesian closed category category with a binary product structure and construct a (Π, λ)-structure on the C-systems CC(C, p) from a (P, P̃ )-structure on p. We then define homomorphisms of C-systems with (Π, λ)-structures and functors of universe categories with (P, P̃ )-structures and show that our construction is functorial relative to these definitions.
منابع مشابه
Products of Families of Types and (π, Λ)-structures on C-systems
In this paper we continue, following the pioneering works by J. Cartmell and T. Streicher, the study of the most important structures on C-systems, the structures that correspond, in the case of the syntactic C-systems, to the (Π, λ, app, β, η)-system of inference rules. One such structure was introduced by J. Cartmell and later studied by T. Streicher under the name of the products of families...
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