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ENTCS
2006
125views more  ENTCS 2006»
13 years 4 months ago
Formalizing Type Operations Using the "Image" Type Constructor
In this paper we introduce a new approach to formalizing certain type operations in type theory. Traditionally, many type constructors in type theory are independently axiomatized...
Aleksey Nogin, Alexei Kopylov
ENTCS
2010
133views more  ENTCS 2010»
13 years 4 months ago
Towards Measurable Types for Dynamical Process Modeling Languages
Process modeling languages such as "Dynamical Grammars" are highly expressive in the processes they model using stochastic and deterministic dynamical systems, and can b...
Eric Mjolsness
OOPSLA
2009
Springer
13 years 11 months ago
Self type constructors
Bruce and Foster proposed the language LOOJ, an extension of Java with the notion of MyType, which represents the type of a self reference and changes its meaning along with inher...
Chieri Saito, Atsushi Igarashi
TLDI
2003
ACM
135views Formal Methods» more  TLDI 2003»
13 years 9 months ago
Typed compilation of recursive datatypes
Standard ML employs an opaque (or generative) semantics of datatypes, in which every datatype declaration produces a new type that is different from any other type, including othe...
Joseph Vanderwaart, Derek Dreyer, Leaf Petersen, K...
LICS
2002
IEEE
13 years 9 months ago
Remarks on Isomorphisms in Typed Lambda Calculi with Empty and Sum Types
Tarski asked whether the arithmetic identities taught in high school are complete for showing all arithmetic equations valid for the natural numbers. The answer to this question f...
Marcelo P. Fiore, Roberto Di Cosmo, Vincent Balat