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» A Logic for Parametric Polymorphism
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ICALP
2007
Springer
15 years 5 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
15 years 8 months 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
130
Voted
CORR
2004
Springer
123views Education» more  CORR 2004»
15 years 1 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
122
Voted
TCS
2011
14 years 8 months 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 1 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