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» Intersection Type Systems and Explicit Substitutions Calculi
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FSTTCS
1999
Springer
13 years 11 months ago
Explicit Substitutions and Programming Languages
The λ-calculus has been much used to study the theory of substitution in logical systems and programming languages. However, with explicit substitutions, it is possible to get fi...
Jean-Jacques Lévy, Luc Maranget
MFCS
2009
Springer
14 years 2 months ago
The Prismoid of Resources
We define a framework called the prismoid of resources where each vertex refines the λ-calculus by using a different choice to make explicit or implicit (meta-level) the defin...
Delia Kesner, Fabien Renaud
CSL
2006
Springer
13 years 11 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...
TCS
2008
13 years 7 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
CORR
2010
Springer
194views Education» more  CORR 2010»
13 years 4 months ago
A Focused Sequent Calculus Framework for Proof Search in Pure Type Systems
Basic proof search tactics in logic and type theory can be seen as the root-rst applications of rules in an appropriate sequent calculus, preferably without the redundancies gener...
Stéphane Lengrand, Roy Dyckhoff, James McKi...