algebraic formulation of dependent type theory (Rev #2, changes)

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The goal of this line of work is to find~~ algebraic~~ an~~ formulations~~~~ of~~essentially algebraic formulation of dependent type theory . This automatically provides free models and quotients. The syntax will then be the initial model.

Rijke’s E-systems are a generalization of Voevodsky’s B-systems.

This line of research should be compared with Dybjer’s categories with families which is a generalized algebraic theory; see categorical model of dependent types for more information.

- Egbert Rijke,
*An algebraic formulation of dependent type theory*, PDF - Vladimir Voevodsky,
*B-systems*, arXiv - Vladimir Voevodsky,
*A C-system defined by a universe in a category*, arXiv - Vladimir Voevodsky,
*C-system of a module over a monad on sets*, arXiv - Vladimir Voevodsky,
*Subsystems and regular quotients of C-systems*, arXiv

Revision on March 15, 2015 at 00:37:33 by Bas Spitters. See the history of this page for a list of all contributions to it.