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WFLP
2009
Springer
244views Algorithms» more  WFLP 2009»
13 years 10 months ago
Type Checking and Inference Are Equivalent in Lambda Calculi with Existential Types
This paper shows that type-checking and type-inference problems are equivalent in domain-free lambda calculi with existential types, that is, type-checking problem is Turing reduci...
Yuki Kato, Koji Nakazawa
CSL
2008
Springer
13 years 4 months ago
Undecidability of Type-Checking in Domain-Free Typed Lambda-Calculi with Existence
Abstract. This paper shows undecidability of type-checking and typeinference problems in domain-free typed lambda-calculi with existential types: a negation and conjunction fragmen...
Koji Nakazawa, Makoto Tatsuta, Yukiyoshi Kameyama,...
LICS
2008
IEEE
13 years 10 months ago
Typed Normal Form Bisimulation for Parametric Polymorphism
This paper presents a new bisimulation theory for parametric polymorphism which enables straightforward coinductive proofs of program equivalences involving existential types. The...
Søren B. Lassen, Paul Blain Levy
TCS
2008
13 years 3 months ago
A typed lambda calculus with intersection types
Intersection types are well-known to type theorists mainly for two reasons. Firstly, they type all and only the strongly normalizable lambda terms. Secondly, the intersection type...
Viviana Bono, Betti Venneri, Lorenzo Bettini
CSL
2006
Springer
13 years 7 months ago
A Sequent Calculus for Type Theory
Based on natural deduction, Pure Type Systems (PTS) can express a wide range of type theories. In order to express proof-search in such theories, we introduce the Pure Type Sequent...
Stéphane Lengrand, Roy Dyckhoff, James McKi...