2 citations · 3 across the 5 of their papers we have counts for
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An Intuitionistic Set-theoretical Model of Fully Dependent CCω
Masahiro Sato, Jacques Garrigue
Werner's set-theoretical model is one of the simplest models of CIC. It combines a functional view of predicative universes with a collapsed view of the impredicative sort Prop. Ho…
Formal Adventures in Convex and Conical Spaces
Reynald Affeldt, Jacques Garrigue, Takafumi Saikawa
Convex sets appear in various mathematical theories, and are used to define notions such as convex functions and hulls. As an abstraction from the usual definition of convex sets i…
A Trustful Monad for Axiomatic Reasoning with Probability and Nondeterminism
Reynald Affeldt, Jacques Garrigue, David Nowak +1
The algebraic properties of the combination of probabilistic choice and nondeterministic choice have long been a research topic in program semantics. This paper explains a formaliz…