We compare realizability models over partial combinatory algebras by embedding them into sheaf toposes. We then use the machinery of Grothendieck toposes and geometric morphisms t...
New, simple, proofs of soundness (every representable function lies in a given complexity class) for Elementary Affine Logic, LFPL and Soft Affine Logic are presented. The proofs ...
By terms-allowed-in-types capacity, the Logic of Proofs LP includes formulas of the form t : Ï•(t), which have self-referential meanings. In this paper, “prehistoric phenomenaâ€...
In previous work we presented a foundational calculus for spatially distributed computing based on intuitionistic modal logic. With the modalities P and Q we were able to capture t...