A modular construction of type theories
Logic in Computer Science
2023-06-22 v6 Logic
Abstract
The lambda-Pi-calculus modulo theory is a logical framework in which many type systems can be expressed as theories. We present such a theory, the theory U, where proofs of several logical systems can be expressed. Moreover, we identify a sub-theory of U corresponding to each of these systems, and prove that, when a proof in U uses only symbols of a sub-theory, then it is a proof in that sub-theory.
Keywords
Cite
@article{arxiv.2111.00543,
title = {A modular construction of type theories},
author = {Frédéric Blanqui and Gilles Dowek and Emilie Grienenberger and Gabriel Hondet and François Thiré},
journal= {arXiv preprint arXiv:2111.00543},
year = {2023}
}