We present a type theory with some proof-irrelevance built into the conversion rule. We argue that this feature is useful when type theory is used as the logical formalism underlyi...
ID-logic uses ideas from the field of logic programming to extend second order logic with non-monotone inductive defintions. In this work, we reformulate the semantics of this lo...
We present a system, BLF, that combines an authorization logic based on the Binder language with a logical framework, LF, able to express semantic properties of programs. BLF is a...
daml+oil is a new description logic developed for use within the DAML project and as a submission to the upcoming W3C semantic web ontology working group. It is closely based on t...
We pursue the program of exposing the intrinsic mathematical structure of the “space of proofs” of a logical system [AJ94b]. We study the case of Multiplicative-Additive Linea...