Provability logic: models within models in Peano arithmetic

DOI10.1007/s40574-022-00325-9OpenAlexW3199511358MaRDI QIDQ2701199

Alessandro Berarducci, Marcello Mamino

Publication date: 27 April 2023

Published in: Bollettino dell'Unione Matematica Italiana (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2109.05476

zbMATH Keywords

modal logicPeano arithmeticprovability logicincompleteness theorems

Mathematics Subject Classification ID

Mathematical logic and foundations (03-XX) Proof theory and constructive mathematics (03Fxx) Model theory (03Cxx)

Cites Work

• The incompleteness theorems after 70 years
• On the provability logic of bounded arithmetic
• Provability interpretations of modal logic
• A model-theoretic approach to proof theory. Edited by Zofia Adamowicz, Teresa Bigorajska and Konrad Zdanowski
• Solution of a problem of Leon Henkin
• Degrees of models
• On Godel's Second Incompleteness Theorem
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