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cs.LO2021
The Multiverse: Logical Modularity for Proof Assistants
Kenji Maillard, Nicolas Margulies, Matthieu Sozeau +2
Proof assistants play a dual role as programming languages and logical systems. As programming languages, proof assistants offer standard modularity mechanisms such as first-class…
cs.PL2021
Touring the MetaCoq Project (Invited Paper)
Matthieu Sozeau
Proof assistants are getting more widespread use in research and industry to provide certified and independently checkable guarantees about theories, designs, systems and implement…
cs.LO2021
Types are Internal -Groupoids
Antoine Allioux, Eric Finster, Matthieu Sozeau
By extending type theory with a universe of definitionally associative and unital polynomial monads, we show how to arrive at a definition of opetopic type which is able to encode…