Light types for polynomial time computation in lambda-calculus

P. Baillot, K. Terui
<span title="">2004</span> <i title="IEEE"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/cnybbxuptncftdgxtodn5edz7m" style="color: black;">Proceedings of the 19th Annual IEEE Symposium on Logic in Computer Science, 2004.</a> </i> &nbsp;
We propose a new 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: subject reduction is satisfied and a well-typed term admits a polynomial bound on the reduction by any strategy.
more &raquo; ... nally we establish that as LAL, DLAL allows to represent all polytime functions.
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