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Applications of complexity theory to Σo-definability Problems in arithmetic

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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/bf01070498openalex-snapshot
Rudimentary interpretation of two-tape turing computation
inferredcites →https://doi.org/10.1007/bfb0090168openalex-snapshot
Computational complexity of decision problems in elementary number theory
inferredcites →https://doi.org/10.1515/9781400882007openalex-snapshot
Theory of Formal Systems. (AM-47)
inferredcites →https://doi.org/10.2307/2269958openalex-snapshot
Existence and feasibility in arithmetic

What points at this work

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

inferred← citeshttps://doi.org/10.1002/malq.19890350511openalex-snapshot
Parameter‐Free Universal Induction
inferred← citeshttps://doi.org/10.1007/3-540-10856-4_73openalex-snapshot
A survey of some recent results on computational complexity in weak theories of arithmetic
inferred← citeshttps://doi.org/10.1007/978-1-4613-0609-2_13openalex-snapshot
Interpretability Logic
inferred← citeshttps://doi.org/10.1016/0020-0190(91)90015-aopenalex-snapshot
Rudimentary reductions revisited
inferred← citeshttps://doi.org/10.1016/0020-0190(92)90180-4openalex-snapshot
The graph of multiplication is equivalent to counting
inferred← citeshttps://doi.org/10.1016/0168-0072(87)90066-2openalex-snapshot
On the scheme of induction for bounded arithmetic formulas
inferred← citeshttps://doi.org/10.1016/0168-0072(95)00018-6openalex-snapshot
Pell equations and exponentiation in fragments of arithmetic
inferred← citeshttps://doi.org/10.1016/j.apal.2007.05.004openalex-snapshot
Quadratic forms in models of IΔ0+Ω1 . I
inferred← citeshttps://doi.org/10.1016/s0049-237x(08)70471-3openalex-snapshot
Bounded Arithmetic Formulas and Turing Machines of Constant Alternation
inferred← citeshttps://doi.org/10.1016/s0168-0072(98)00030-xopenalex-snapshot
Bounded arithmetic, proof complexity and two papers of Parikh
inferred← citeshttps://doi.org/10.1016/s0304-3975(00)00110-9openalex-snapshot
On end extensions of models of subsystems of peano arithmetic
inferred← citeshttps://doi.org/10.1017/jsl.2024.44openalex-snapshot
A PARAMETERIZED HALTING PROBLEM, $ \Delta _0$ TRUTH AND THE MRDP THEOREM
inferred← citeshttps://doi.org/10.1109/sct.1990.113967openalex-snapshot
Bounded arithmetic and computational complexity
inferred← citeshttps://doi.org/10.1145/3209108.3209155openalex-snapshot
A parameterized halting problem, the linear time hierarchy, and the MRDP theorem
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