8 search results - page 1 / 2 » Extensional Equality in Intensional Type Theory |
LICS
1999
IEEE
13 years 9 months ago
1999
IEEE
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...
CADE
2005
Springer
14 years 5 months ago
2005
Springer
Abstract. We describe methods for automated theorem proving in extensional type theory with primitive equality. We discuss a complete, cut-free sequent calculus as well as a compac...
CORR
2006
Springer
13 years 4 months ago
2006
Springer
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...
CIE
2007
Springer
13 years 11 months ago
2007
Springer
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...
MSCS
2008
13 years 4 months ago
2008
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...