In:
The Journal of Symbolic Logic, Cambridge University Press (CUP)
Abstract:
C-systems were defined by Cartmell as models of generalized algebraic theories. B-systems were defined by Voevodsky in his quest to formulate and prove an initiality conjecture for type theories. They play a crucial role in Voevodsky’s construction of a syntactic C-system from a term monad. In this work, we construct an equivalence between the category of C-systems and the category of B-systems, thus proving a conjecture by Voevodsky.
Type of Medium:
Online Resource
ISSN:
0022-4812
,
1943-5886
Language:
English
Publisher:
Cambridge University Press (CUP)
Publication Date:
2023
detail.hit.zdb_id:
2010607-5
SSG:
5,1
SSG:
17,1