A Counterexample to Polynomially Bounded Realizability of Basic Arithmetic

Mohammad Ardeshir; Erfan Khaniki; Mohsen Shahriari

doi:10.1215/00294527-2019-0013

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Home > Journals > Notre Dame J. Formal Logic > Volume 60 > Issue 3 > Article

August 2019 A Counterexample to Polynomially Bounded Realizability of Basic Arithmetic

Mohammad Ardeshir, Erfan Khaniki, Mohsen Shahriari

Notre Dame J. Formal Logic 60(3): 481-489 (August 2019). DOI: 10.1215/00294527-2019-0013

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Abstract

We give a counterexample to the claim that every provably total function of Basic Arithmetic is a polynomially bounded primitive recursive function.

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Mohammad Ardeshir. Erfan Khaniki. Mohsen Shahriari. "A Counterexample to Polynomially Bounded Realizability of Basic Arithmetic." Notre Dame J. Formal Logic 60 (3) 481 - 489, August 2019. https://doi.org/10.1215/00294527-2019-0013

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Received: 16 March 2016; Accepted: 6 November 2017; Published: August 2019

First available in Project Euclid: 4 July 2019

zbMATH: 07120751

MathSciNet: MR3985622

Digital Object Identifier: 10.1215/00294527-2019-0013

Subjects:

Primary: 03F30

Secondary: 03F50

Keywords: Basic Arithmetic , polynomially bounded realizability , primitive recursive realizability

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Notre Dame J. Formal Logic

Vol.60 • No. 3 • August 2019

Duke University Press

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Mohammad Ardeshir, Erfan Khaniki, Mohsen Shahriari "A Counterexample to Polynomially Bounded Realizability of Basic Arithmetic," Notre Dame Journal of Formal Logic, Notre Dame J. Formal Logic 60(3), 481-489, (August 2019)

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