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» A Logic for Parametric Polymorphism
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ICALP
2007
Springer
15 years 10 months ago
Affine Systems of Equations and Counting Infinitary Logic
We study the definability of constraint satisfaction problems (CSP) in various fixed-point and infinitary logics. We show that testing the solvability of systems of equations over...
Albert Atserias, Andrei A. Bulatov, Anuj Dawar
LICS
2009
IEEE
16 years 19 days ago
Logical Step-Indexed Logical Relations
We show how to reason about “step-indexed” logitions in an abstract way, avoiding the tedious, error-prone, and proof-obscuring step-index arithmetic that seems superficially...
Derek Dreyer, Amal Ahmed, Lars Birkedal
CORR
2004
Springer
123views Education» more  CORR 2004»
15 years 5 months ago
Light types for polynomial time computation in lambda-calculus
We present a polymorphic type system for lambda calculus ensuring that welltyped programs can be executed in polynomial time: dual light affine logic (DLAL). DLAL has a simple typ...
Patrick Baillot, Kazushige Terui
TCS
2011
15 years 28 days ago
Realizability models and implicit complexity
New, simple, proofs of soundness (every representable function lies in a given complexity class) for Elementary Affine Logic, LFPL and Soft Affine Logic are presented. The proofs ...
Ugo Dal Lago, Martin Hofmann
ICFP
2006
ACM
16 years 6 months ago
An object-oriented approach to datatype-generic programming
Datatype-generic programming (DGP) is the next step beyond abstracting over types using parametric polymorphism, which is often called "genericity" in object-oriented la...
Adriaan Moors, Frank Piessens, Wouter Joosen