Not all Kripke models of \(\mathsf{HA}\) are locally \(\mathsf{PA}\)
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Publication:2074812
DOI10.1016/j.aim.2021.108126OpenAlexW4200135237MaRDI QIDQ2074812
Publication date: 11 February 2022
Published in: Advances in Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.aim.2021.108126
Cites Work
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- Intuitionistic validity in \(T\)-normal Kripke structures
- Self-reference and modal logic
- Finite Kripke models of HA are locally PA
- Constructivism in mathematics. An introduction. Volume I
- Classical and intuitionistic models of arithmetic
- \(\mathcal H\)-theories, fragments of HA and PA-normality
- Intuitionistic axiomatizations for bounded extension Kripke models.
- Metamathematical investigation of intuitionistic arithmetic and analysis. With contributions by C. A. Smorynski, J. I. Zucker and W. A. Howard
- On the structure of kripke models of heyting arithmetic
- Every Rooted Narrow Tree Kripke Model of HA is Locally PA
- Σ_{𝑛}-bounding and Δ_{𝑛}-induction
- From forcing to satisfaction in Kripke models of intuitionistic predicate logic
- Forcing and satisfaction in Kripke models of intuitionistic arithmetic
- Localizing finite-depth Kripke models
- An Introduction to Basic Arithmetic
- Partially-Elementary Extension Kripke Models: A Characterization and Applications
- Basic predicate calculus