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Models of Arithmetic and recursive functions

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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/bfb0066003openalex-snapshot
Models of arithmetic and the semi-ring of recursive functions
inferredcites →https://doi.org/10.1016/s0049-237x(08)70846-2openalex-snapshot
Diophantine Representation of Recursively Enumerable Predicates
inferredcites →https://doi.org/10.1090/s0002-9947-1963-0148547-1openalex-snapshot
Limit Ultrapowers
inferredcites →https://doi.org/10.1090/s0002-9947-1970-0265157-xopenalex-snapshot
Recursive functions modulo 𝐶𝑂-𝑟-maximal sets
inferredcites →https://doi.org/10.2307/2271202openalex-snapshot
A. Robinson. Model theory and non-standard arithmetic. Infinitistic methods, Proceedings of the Symposium on Foundations of Mathematics, Warsaw, 2–9 September 1959, Państwowe Wydawnictwo Naukowe, Warsaw, and Pergamon Press, Oxford-London-New York-Paris, 1961, pp. 265–302.

What points at this work

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

inferred← citeshttps://doi.org/10.1002/1521-3870(200204)48:3<323::aid-malq323>3.0.co;2-copenalex-snapshot
Combinatorial Isols and the Arithmetic of Dekker Semirings
inferred← citeshttps://doi.org/10.1002/malq.19890350303openalex-snapshot
Some Extension and Rearrangement Theorems For Nerode Semirings
inferred← citeshttps://doi.org/10.1002/malq.19930390146openalex-snapshot
A note on effective ultrapowers: Uniform failure of bounded collection
inferred← citeshttps://doi.org/10.1002/malq.19950410102openalex-snapshot
Existentially Complete Nerode Semirings
inferred← citeshttps://doi.org/10.1002/malq.200810052openalex-snapshot
Some observations on the substructure lattice of a Δ1 ultrapower
inferred← citeshttps://doi.org/10.1002/malq.201700009openalex-snapshot
A remark on pseudo proof systems and hard instances of the satisfiability problem
inferred← citeshttps://doi.org/10.1007/978-3-030-19071-2_21-1openalex-snapshot
Countable Nonstandard Models: Following Skolem’s Approach
inferred← citeshttps://doi.org/10.1007/978-3-031-40846-5_21openalex-snapshot
Countable Nonstandard Models: Following Skolem’s Approach
inferred← citeshttps://doi.org/10.1007/978-3-319-08019-2_15openalex-snapshot
Isomorphisms of Non-Standard Fields and Ash’s Conjecture
inferred← citeshttps://doi.org/10.1007/978-3-319-50062-1_23openalex-snapshot
The Lattice of Computably Enumerable Vector Spaces
inferred← citeshttps://doi.org/10.1007/bf02766171openalex-snapshot
Embeddings of and into nerode semirings
inferred← citeshttps://doi.org/10.1007/bfb0080980openalex-snapshot
Finite forcing and generic filters in arithmetic
inferred← citeshttps://doi.org/10.1007/s00153-007-0038-2openalex-snapshot
Δ1 Ultrapowers are totally rigid
inferred← citeshttps://doi.org/10.1007/s00153-019-00681-yopenalex-snapshot
Polynomial time ultrapowers and the consistency of circuit lower bounds
inferred← citeshttps://doi.org/10.1007/s00153-024-00916-7openalex-snapshot
Cohesive powers of structures
inferred← citeshttps://doi.org/10.1016/0168-0072(90)90064-9openalex-snapshot
Sub-arithmetical ultrapowers: a survey
inferred← citeshttps://doi.org/10.1016/0168-0072(92)90070-gopenalex-snapshot
Eight problems about nerode semirings (recursive ultrapowers)
inferred← citeshttps://doi.org/10.1016/0168-0072(92)90074-aopenalex-snapshot
On co-simple isols and their intersection types
inferred← citeshttps://doi.org/10.1016/j.aim.2019.106884openalex-snapshot
R.e. prime powers and total rigidity
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/s0049-237x(09)70434-3openalex-snapshot
Existentially Closed Models of Basic Number Theory
inferred← citeshttps://doi.org/10.1017/jsl.2023.14openalex-snapshot
ON COHESIVE POWERS OF LINEAR ORDERS
inferred← citeshttps://doi.org/10.1017/s0960129513000856openalex-snapshot
Realizability interpretation of PA by iterated limiting PCA
inferred← citeshttps://doi.org/10.1090/s0002-9939-1986-0840636-xopenalex-snapshot
Some Properties of ∀∃ Models in the Isols
inferred← citeshttps://doi.org/10.1090/s0002-9939-1993-1116268-9openalex-snapshot
Recursive Fibers of RST Isols
inferred← citeshttps://doi.org/10.1090/s0002-9939-1993-1155592-0openalex-snapshot
On the Minimality of Tame Models in the Isols
inferred← citeshttps://doi.org/10.2140/pjm.2002.206.9openalex-snapshot
Hereditarily Odd–Even and combinatorial isols
inferred← citeshttps://doi.org/10.2307/2275256openalex-snapshot
Torre models in the isols
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