Even though it is not very often admitted, partial functions do play a significant role in many practical applications of deduction systems. Kleene has already given a semantic acc...
It is well-known that weakening and contraction cause na¨ıve categorical models of the classical sequent calculus to collapse to Boolean lattices. In previous work, summarized b...
We define a sound and complete logic, called FO , which extends classical first-order predicate logic with intuitionistic implication. As expected, to allow the interpretation of i...
Bistructures are a generalisation of event structures which allow a representation of spaces of functions at higher types in an orderextensional setting. The partial order of caus...
Pierre-Louis Curien, Gordon D. Plotkin, Glynn Wins...
While many type systems based on the intuitionistic fragment of linear logic have been proposed, applications in programming languages of the full power of linear logic--including...