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1999
IEEE
13 years 8 months ago
Extensional Equality in Intensional Type Theory
We present a new approach to introducing an extensional propositional equality in Intensional Type Theory. Our construction is based on the observation that there is a sound, inte...
Thorsten Altenkirch
CORR
2006
Springer
131views Education» more  CORR 2006»
13 years 4 months ago
Intensional Models for the Theory of Types
In this paper we define intensional models for the classical theory of types, thus arriving at an intensional type logic ITL. Intensional models generalize Henkin's general m...
Reinhard Muskens
CIE
2007
Springer
13 years 10 months ago
Quotients over Minimal Type Theory
Abstract. We consider an extensional version, called qmTT, of the intensional Minimal Type Theory mTT, introduced in a previous paper with G. Sambin, enriched with proof-irrelevanc...
Maria Emilia Maietti
SCP
2011
255views Communications» more  SCP 2011»
12 years 11 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