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arXiv · 2111.00543

A modular construction of type theories

Frédéric Blanqui·Gilles Dowek·Emilie Grienenberger·Gabriel Hondet·François Thiré
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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.

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Frédéric Blanqui, Gilles Dowek, Emilie Grienenberger, Gabriel Hondet, François Thiré. 2021-10-31. A modular construction of type theories. https://doi.org/10.46298/lmcs-19(1%3A12)2023

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