Parsimonious Types and Non-uniform Computation

  • Damiano MazzaEmail author
  • Kazushige Terui
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 9135)


We consider a non-uniform affine lambda-calculus, called parsimonious, and endow its terms with two type disciplines: simply-typed and with linear polymorphism. We show that the terms of string type into Boolean type characterize the class L/poly in the first case, and P/poly in the second. Moreover, we relate this characterization to that given by the second author in terms of Boolean proof nets, highlighting continuous affine approximations as the bridge between the two approaches to non-uniform computation.


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Copyright information

© Springer-Verlag Berlin Heidelberg 2015

Authors and Affiliations

  1. 1.CNRS, UMR 7030, LIPNUniversité Paris 13, Sorbonne Paris CitéVilletaneuseFrance
  2. 2.RIMSKyoto UniversityKyotoJapan

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