In this paper we define intensional models for the classical theory of types, thus arriving at an intensional type logic ITL. Intensional models generalize Henkin's general m...
We introduce a natural deduction formulation for the Logic of Proofs, a refinement of modal logic S4 in which the assertion PA is replaced by [[s]]A whose intended reading is “s...
fragment enjoys suitable noetherianity conditions and admits an abstract version of a `KeislerShelah like' isomorphism theorem. We show that this general decidability transfer...
Contemporary use of the term ’intension’ derives from the traditional logical doctrine that an idea has both an extension and an intension. In this paper we introduce an intens...
Abstract. We consider two systems of constructive modal logic which are computationally motivated. Their modalities admit several computational interpretations and are used to capt...
Natasha Alechina, Michael Mendler, Valeria de Paiv...