A modular construction of type theories - Laboratoire Méthodes Formelles
Article Dans Une Revue (Article De Synthèse) Logical Methods in Computer Science Année : 2023

A modular construction of type theories

Résumé

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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Dates et versions

hal-04317047 , version 1 (01-12-2023)

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Frédéric Blanqui, Gilles Dowek, Emilie Grienenberger, Gabriel Hondet, François Thiré. A modular construction of type theories. Logical Methods in Computer Science, 2023, 19 (1), ⟨10.46298/lmcs-19(1:12)2023⟩. ⟨hal-04317047⟩
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