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2004
Springer

Soft lambda-Calculus: A Language for Polynomial Time Computation

9 years 3 months ago
Soft lambda-Calculus: A Language for Polynomial Time Computation
Soft linear logic ([Lafont02]) is a subsystem of linear logic characterizing the class PTIME. We introduce Soft lambda-calculus as a calculus typable in the intuitionistic and affine variant of this logic. We prove that the (untyped) terms of this calculus are reducible in polynomial time. We then extend the type system of Soft logic with recursive types. This allows us to consider non-standard types for representing lists. Using these datatypes we examine the concrete expressiveness of Soft lambda-calculus with the example of the insertion sort algorithm.
Patrick Baillot, Virgile Mogbil
Added 01 Jul 2010
Updated 01 Jul 2010
Type Conference
Year 2004
Where FOSSACS
Authors Patrick Baillot, Virgile Mogbil
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