This paper presents a proof language based on the work of Sacerdoti Coen [1,2], Kirchner [3] and Autexier [4] on ¯λµ˜µ, a calculus introduced by Curien and Herbelin [5,6]. Jus...
We introduce the calculus of structures: it is more general than the sequent calculus and it allows for cut elimination and the subformula property. We show a simple extension of m...
Λµ-calculus was introduced as a Böhm-complete extension of Parigot's λµ-calculus. Λµ-calculus, contrarily to Parigot's calculus, is a calculus of CBN delimited con...
Abstract McCarthy’s Situation Calculus is arguably the oldest special-purpose knowledge representation formalism, designed to axiomatize knowledge of actions and their effects. ...
In a previous work, we proved that almost all of the Calculus of Inductive Constructions (CIC), the basis of the proof assistant Coq, can be seen as a Calculus of Algebraic Constru...