Title
Undecidability of Type-Checking in Domain-Free Typed Lambda-Calculi with Existence
Abstract
This paper shows undecidability of type-checking and type-inference problems in domain-free typed lambda-calculi with existential types: a negation and conjunction fragment, and an implicational fragment. These are proved by reducing type-checking and type-inference problems of the domain-free polymorphic typed lambda-calculus to those of the lambda-calculi with existential types by continuation passing style translations.
Year
DOI
Venue
2008
10.1007/978-3-540-87531-4_34
CSL
Keywords
Field
DocType
type-inference problem,style translation,implicational fragment,domain-free typed lambda-calculi,domain-free polymorphic,existential type,conjunction fragment,typed lambda calculus,type system,continuation passing style,type inference,polymorphism
Discrete mathematics,Simply typed lambda calculus,Typed lambda calculus,System F,Type inference,Type inhabitation,Pure type system,Dependent type,Type constructor,Mathematics
Conference
Volume
ISSN
Citations 
5213
0302-9743
10
PageRank 
References 
Authors
0.61
12
4
Name
Order
Citations
PageRank
Koji Nakazawa1366.92
Makoto Tatsuta211122.36
Yukiyoshi Kameyama317117.29
Hiroshi Nakano4202.25