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» An Introduction to Dependent Type Theory
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TLCA
2007
Springer
14 years 1 months ago
Embedding Pure Type Systems in the Lambda-Pi-Calculus Modulo
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...
Denis Cousineau 0002, Gilles Dowek
CADE
1998
Springer
13 years 11 months ago
Admissibility of Fixpoint Induction over Partial Types
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...
Karl Crary
ICRA
2009
IEEE
108views Robotics» more  ICRA 2009»
14 years 2 months ago
Local decomposition and observability properties for automatic calibration in mobile robotics
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 ...
Agostino Martinelli
ENTCS
2008
92views more  ENTCS 2008»
13 years 7 months ago
Redundancy Elimination for LF
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...
Jason Reed
MSCS
2008
119views more  MSCS 2008»
13 years 7 months ago
Structural subtyping for inductive types with functorial equality rules
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...
Zhaohui Luo, Robin Adams