Archive for Mathematical Logic 50 (1-2):197-213 (2011)

We prove that all extensions of Heyting Arithmetic with a logic that has the finite frame property possess the de Jongh property
Keywords Intuitionistic logic  Heyting’s arithmetic
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DOI 10.1007/s00153-010-0209-4
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References found in this work BETA

Modal Logic.Alexander Chagrov - 1997 - Oxford, England: Oxford University Press.
Undecidable Theories.Alfred Tarski - 1953 - Amsterdam: North-Holland Pub. Co..
Recursive Predicates and Quantifiers.S. C. Kleene - 1943 - Transactions of the American Mathematical Society 53:41-73.

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Citations of this work BETA

The Σ 1 -Provability Logic of HA.Mohammad Ardeshir & Mojtaba Mojtahedi - 2018 - Annals of Pure and Applied Logic 169 (10):997-1043.
The de Jongh Property for Basic Arithmetic.Mohammad Ardeshir & S. Mojtaba Mojtahedi - 2014 - Archive for Mathematical Logic 53 (7-8):881-895.
Logics of Intuitionistic Kripke-Platek Set Theory.Rosalie Iemhoff & Robert Passmann - 2021 - Annals of Pure and Applied Logic 172 (10):103014.

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An Intuitionistic Characterization of Classical Logic.Ming Hsiung - 2008 - Journal of Philosophical Logic 37 (4):299 - 317.


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