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Characterizing Polynomial and Exponential Complexity Classes in Elementary Lambda-Calculus
Abstract : 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 λ-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.
Cited literature [22 references]
https://hal.inria.fr/hal-01015171
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Submitted on : Thursday, November 24, 2016 - 10:50:02 AM
Last modification on : Monday, February 7, 2022 - 4:06:03 PM
Long-term archiving on: : Monday, March 20, 2017 - 4:49:50 PM
Contributor : Hal Ifip Connect in order to contact the contributor
Submitted on : Thursday, November 24, 2016 - 10:50:02 AM
Last modification on : Monday, February 7, 2022 - 4:06:03 PM
Long-term archiving on: : Monday, March 20, 2017 - 4:49:50 PM
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