The lambda-Pi-calculus allows to express proofs of minimal predicate logic. It can be extended, in a very simple way, by adding computation rules. This leads to the lambda-Pi-calcu...
Partial types allow the reasoning about partial functions in type theory. The partial functions of main interest are recursively computed functions, which are commonly assigned ty...
Abstract— This paper considers the problem of sensor selfcalibration in mobile robotics by only using a single point feature (e.g. a source of light). In particular, the problem ...
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...
Subtyping for inductive types in dependent type theories is studied in the framework of coercive subtyping. General structural subtyping rules for parameterised inductive types ar...