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Communication Dans Un Congrès Année : 2014

Characterizing Polynomial and Exponential Complexity Classes in Elementary Lambda-Calculus

Résumé

In this paper an implicit characterization of the complexity classes k-EXP and k-FEXP, for k>=0, is given, by a type assignment system for a stratified lambda-calculus, where types for programs are witnesses of the corresponding complexity class. Types are formulae of Elementary Linear Logic (ELL), and the hierarchy of complexity classes k-EXP is characterized by a hierarchy of types. (This on-line version contains an appendix of 14 pages with full proofs of the statements)
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Dates et versions

hal-01015171 , version 1 (25-06-2014)
hal-01015171 , version 2 (24-11-2016)

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  • HAL Id : hal-01015171 , version 1

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Patrick Baillot, Erika de Benedetti, Simona Ronchi Della Rocca. Characterizing Polynomial and Exponential Complexity Classes in Elementary Lambda-Calculus. IFIP conference on Theoretical Computer Science, Aug 2014, Rome, Italy. 15 p. ⟨hal-01015171v1⟩
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