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Light types for polynomial time computation in lambda calculus
2009
Information and Computation
We present a polymorphic type system for lambda calculus ensuring that well-typed programs can be executed in polynomial time: dual light affine logic (DLAL). DLAL has a simple type language with a linear and an intuitionistic type arrow, and one modality. It corresponds to a fragment of light affine logic (LAL). We show that contrarily to LAL, DLAL ensures good properties on lambda-terms (and not only on proof-nets): subject reduction is satisfied and a well-typed term admits a polynomial
doi:10.1016/j.ic.2008.08.005
fatcat:vtr4yo6kz5dsfp6qzoqe3szxte