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TLCA
2005
Springer
14 years 6 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
14 years 6 months ago
Proof Contexts with Late Binding
Abstract. The Focal language (formerly FoC) allows one to incrementally build modules and to formally prove their correctness. In this paper, we present two formal semantics for en...
Virgile Prevosto, Sylvain Boulmé
TLCA
2005
Springer
14 years 6 months ago
L3: A Linear Language with Locations
We explore foundational typing support for strong updates — updating a memory cell to hold values of unrelated types at different points in time. We present a simple, but expres...
Greg Morrisett, Amal J. Ahmed, Matthew Fluet
TLCA
2005
Springer
14 years 6 months ago
Subtyping Recursive Types Modulo Associative Commutative Products
This work sets the formal bases for building tools that help retrieve classes in object-oriented libraries. In such systems, the user provides a query, formulated as a set of class...
Roberto Di Cosmo, François Pottier, Didier ...
TLCA
2005
Springer
14 years 6 months ago
Naming Proofs in Classical Propositional Logic
Abstract. We present a theory of proof denotations in classical propologic. The abstract definition is in terms of a semiring of weights, and two concrete instances are explored. ...
François Lamarche, Lutz Straßburger
TLCA
2005
Springer
14 years 6 months ago
The Elimination of Nesting in SPCF
We use a fully abstract denotational model to show that nested function calls and recursive definitions can be eliminated from SPCF (a typed functional language with simple non-lo...
James Laird
TLCA
2005
Springer
14 years 6 months ago
Recursive Functions with Higher Order Domains
In a series of articles, we developed a method to translate general recursive functions written in a functional programming style into constructive type theory. Three problems rema...
Ana Bove, Venanzio Capretta
TLCA
2005
Springer
14 years 6 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