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The logic of the reverse mathematics zoo

Published online by Cambridge University Press:  10 November 2016

GIOVANNA D'AGOSTINOOpen the ORCID record for GIOVANNA D'AGOSTINO[Opens in a new window] and
ALBERTO MARCONEOpen 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: giovanna.dagostino@uniud.it, alberto.marcone@uniud.it
ALBERTO MARCONE
Affiliation:
Dipartimento di Scienze Matematiche, Informatiche e Fisiche, Università di Udine, viale delle Scienze 206, 33100 Udine, Italy Emails: giovanna.dagostino@uniud.it, alberto.marcone@uniud.it
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Abstract

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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.

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