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CIE
2008
Springer
13 years 9 months ago
Recursion on Nested Datatypes in Dependent Type Theory
Nested datatypes are families of datatypes that are indexed over all types and where the datatype constructors relate different members of the family. This may be used to represent...
Ralph Matthes
ITP
2010
172views Mathematics» more  ITP 2010»
13 years 11 months ago
Equations: A Dependent Pattern-Matching Compiler
Abstract. We present a compiler for definitions made by pattern matching on inductive families in the Coq system. It allows to write structured, recursive dependently-typed functi...
Matthieu Sozeau
TOCL
2012
235views Formal Methods» more  TOCL 2012»
11 years 9 months ago
Topological and Simplicial Models of Identity Types
racting these leads us to introduce the notion of a path object category. This is a relatively simple axiomatic framework, which is nonetheless sufficiently strong to allow the con...
Benno van den Berg, Richard Garner
MKM
2007
Springer
14 years 1 months ago
Biform Theories in Chiron
An axiomatic theory represents mathematical knowledge declaratively as a set of axioms. An algorithmic theory represents mathematical knowledge procedurally as a set of algorithms....
William M. Farmer
WWW
2003
ACM
14 years 8 months ago
Three theses of representation in the semantic web
The Sematic Web is vitally dependant on a formal meaning for the constructs of its languages. For Semantic Web languages to work well together their formal meanings must employ a ...
Ian Horrocks, Peter F. Patel-Schneider