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» Deriving Category Theory from Type Theory
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ICFP
2009
ACM
14 years 8 months ago
A theory of typed coercions and its applications
A number of important program rewriting scenarios can be recast as type-directed coercion insertion. These range from more theoretical applications such as coercive subtyping and ...
Nikhil Swamy, Michael W. Hicks, Gavin M. Bierman
POPL
2010
ACM
14 years 4 months ago
Pure Subtype Systems
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)...
DeLesley S. Hutchins
CADE
1999
Springer
13 years 11 months ago
A dynamic programming approach to categorial deduction
We reduce the provability problem of any formula of the Lambek calculus to some context-free parsing problem. This reduction, which is based on non-commutative proof-net theory, al...
Philippe de Groote
SCP
2011
255views Communications» more  SCP 2011»
13 years 2 months ago
Map fusion for nested datatypes in intensional type theory
A definitional extension LNGMIt of the Calculus of Inductive Constructions (CIC), that underlies the proof assistant Coq, is presented that allows also to program with nested dat...
Ralph Matthes
POPL
2010
ACM
14 years 4 months ago
Dependent Types from Counterexamples
d by recent research in abstract model checking, we present a new approach to inferring dependent types. Unlike many of the existing approaches, our approach does not rely on prog...
Tachio Terauchi