Proofs in the Nuprl system, an implementation of a constructive type theory, yield “correct-by-construction” programs. In this paper a new methodology is presented for extract...
This paper introduces a new approach to type theory called pure subtype systems. Pure subtype systems differ from traditional approaches to type theory (such as pure type systems)...
We present a type system extending the dependent type theory LF, whose terms are more amenable to compact representation. This is achieved by carefully omitting certain subterms w...
An axiomatic theory represents mathematical knowledge declaratively as a set of axioms. An algorithmic theory represents mathematical knowledge procedurally as a set of algorithms....
In Ôcontextual learning theoryÕ three types of contextual conditions (differentiation of learning procedures and materials, integrated ICT support, and improvement of developme...