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» Normal Form Theorem Proving for the Lambek Calculus
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TCS
2008
13 years 5 months ago
On strong normalization and type inference in the intersection type discipline
We introduce a new unification procedure for the type inference problem in the intersection type discipline. It is well known that type inference in this case should succeed exact...
Gérard Boudol
TLCA
2005
Springer
13 years 11 months ago
Continuity and Discontinuity in Lambda Calculus
This paper studies continuity of the normal form and the context operators as functions in the infinitary lambda calculus. We consider the Scott topology on the cpo of the finite...
Paula Severi, Fer-Jan de Vries
TLCA
2005
Springer
13 years 11 months ago
Semantic Cut Elimination in the Intuitionistic Sequent Calculus
Cut elimination is a central result of the proof theory. This paper proposes a new approach for proving the theorem for Gentzen’s intuitionistic sequent calculus LJ, that relies ...
Olivier Hermant
LPAR
2004
Springer
13 years 11 months ago
The Inverse Method for the Logic of Bunched Implications
Abstract. The inverse method, due to Maslov, is a forward theorem proving method for cut-free sequent calculi that relies on the subformula property. The Logic of Bunched Implicati...
Kevin Donnelly, Tyler Gibson, Neel Krishnaswami, S...
POPL
2004
ACM
14 years 6 months ago
Extensional normalisation and type-directed partial evaluation for typed lambda calculus with sums
We present a notion of -long ? -normal term for the typed lambda calculus with sums and prove, using Grothendieck logical relations, that every term is equivalent to one in norm...
Vincent Balat, Roberto Di Cosmo, Marcelo P. Fiore