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arXiv · 0710.1153

Verification of Ptime Reducibility for system F Terms: Type Inference in Dual Light Affine Logic

Vincent Atassi·Patrick Baillot·Kazushige Terui
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Abstract

In a previous work Baillot and Terui introduced Dual light affine logic (DLAL) as a variant of Light linear logic suitable for guaranteeing complexity properties on lambda calculus terms: all typable terms can be evaluated in polynomial time by beta reduction and all Ptime functions can be represented. In the present work we address the problem of typing lambda-terms in second-order DLAL. For that we give a procedure which, starting with a term typed in system F, determines whether it is typable in DLAL and outputs a concrete typing if there exists any. We show that our procedure can be run in time polynomial in the size of the original Church typed system F term.

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Vincent Atassi, Patrick Baillot, Kazushige Terui. 2007-10-05. Verification of Ptime Reducibility for system F Terms: Type Inference in Dual Light Affine Logic. https://doi.org/10.2168/lmcs-3(4:10)2007

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