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On the theories of end-extensions of models of arithmetic

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Inferred edges come from two machine sources: sweeps of open repository metadata (mostly SSRN and Zenodo), and a bulk OpenAlex citation snapshot. Every row below is labelled with the one it came from. Neither is a complete citation index — absence here is not evidence of absence.

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What this work says

Outgoing claims: the papers this work cites, builds on, or argues with.

inferredcites →https://doi.org/10.1007/bfb0059542openalex-snapshot
A note on models and submodels of arithmetic
inferredcites →https://doi.org/10.1007/bfb0066789openalex-snapshot
Countable models of set theories
inferredcites →https://doi.org/10.1016/s0049-237x(09)70580-4openalex-snapshot
Diophantine Equations and Non-Standard Models of Arithmetic
inferredcites →https://doi.org/10.1090/s0002-9947-1978-0487048-9openalex-snapshot
Completeness theorems, incompleteness theorems and models of arithmetic
inferredcites →https://doi.org/10.1112/jlms/s2-13.1.80openalex-snapshot
Internal End-Extensions of Peano Arithmetic and a Problem of Gaifman
inferredcites →https://doi.org/10.2307/2272268openalex-snapshot
On models of arithmetic—Answers to two problems raised by H. Gaifman

What points at this work

Incoming claims: where this work appears in other papers’ reference lists and arguments.

inferred← citeshttps://doi.org/10.1007/978-3-319-63334-3_5openalex-snapshot
The Interpretation Existence Lemma
inferred← citeshttps://doi.org/10.1007/bfb0090167openalex-snapshot
Ramsey quantifiers in arithmetic
inferred← citeshttps://doi.org/10.1007/s00153-019-00699-2openalex-snapshot
Rank-initial embeddings of non-standard models of set theory
inferred← citeshttps://doi.org/10.1016/0304-3975(95)00099-2openalex-snapshot
P, NP, Co-NP and weak systems of arithmetic
inferred← citeshttps://doi.org/10.1016/j.apal.2015.10.004openalex-snapshot
Duality, non-standard elements, and dynamic properties of r.e. sets
inferred← citeshttps://doi.org/10.1016/j.apal.2016.12.003openalex-snapshot
Unifying the model theory of first-order and second-order arithmetic via WKL0⁎
inferred← citeshttps://doi.org/10.1017/jsl.2022.88openalex-snapshot
SELF-EMBEDDINGS OF MODELS OF ARITHMETIC; FIXED POINTS, SMALL SUBMODELS, AND EXTENDABILITY
inferred← citeshttps://doi.org/10.1305/ndjfl/1093636098openalex-snapshot
End extensions of models of arithmetic.
inferred← citeshttps://doi.org/10.1305/ndjfl/1093870445openalex-snapshot
Submodels and definable points in models of Peano arithmetic.
inferred← citeshttps://doi.org/10.1305/ndjfl/1093883398openalex-snapshot
Cofinal extensions of nonstandard models of arithmetic.
inferred← citeshttps://doi.org/10.48550/arxiv.1904.10540openalex-snapshot
Some Problems in Logic: Applications of Kripke's Notion of Fulfilment
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