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The logic of the reverse mathematics zoo

Published online by Cambridge University Press:  10 November 2016

GIOVANNA D'AGOSTINO Open the ORCID record for GIOVANNA D'AGOSTINO [Opens in a new window]  and
ALBERTO MARCONE Open the ORCID record for ALBERTO MARCONE [Opens in a new window]
GIOVANNA D'AGOSTINO
Affiliation:
Dipartimento di Scienze Matematiche, Informatiche e Fisiche, Università di Udine, viale delle Scienze 206, 33100 Udine, Italy Emails: [email protected], [email protected]
ALBERTO MARCONE
Affiliation:
Dipartimento di Scienze Matematiche, Informatiche e Fisiche, Università di Udine, viale delle Scienze 206, 33100 Udine, Italy Emails: [email protected], [email protected]
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Abstract

Building on previous work by Mummert et al. (2015, The modal logic of Reverse Mathematics. Archive for Mathematical54 (3–4) 425–437), we study the logic underlying the web of implications and non-implications which constitute the so called reverse mathematics zoo. We introduce a tableaux system for this logic and natural deduction systems for important fragments of the language.

Type
Paper
Information
Mathematical Structures in Computer Science , Volume 28 , Special Issue 3: Mind, Mechanism and Mathematics: Computability Unchained , March 2018 , pp. 412 - 428
Copyright
Copyright © Cambridge University Press 2016 

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