36 citations · 143 across the 40 of their papers we have counts for
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Syntactic Forcing Models for Coherent Logic
Marc Bezem, Ulrik Buchholtz, Thierry Coquand
We present three syntactic forcing models for coherent logic. These are based on sites whose underlying category only depends on the signature of the coherent theory, and they do n…
An introduction to Lorenzen's "Algebraic and logistic investigations on free lattices" (1951)
Thierry Coquand, Henri Lombardi, Stefan Neuwirth
Lorenzen's ``Algebraische und logistische Untersuchungen über freie Verbände'' appeared in 1951 in The Journal of Symbolic Logic. These ``Investigations'' have immediately been rec…
The univalence axiom in cubical sets
Marc Bezem, Thierry Coquand, Simon Huber
In this note we show that Voevodsky's univalence axiom holds in the model of type theory based on symmetric cubical sets. We will also discuss Swan's construction of the identity t…
Lattice-ordered groups generated by an ordered group and regular systems of ideals
Thierry Coquand, Henri Lombardi, Stefan Neuwirth
Unbounded entailment relations, introduced by Paul Lorenzen (1951), are a slight variant of a notion which plays a fundamental rôle in logic (see Scott 1974) and in algebra (see Lo…