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Some applications of Gentzens second consistency proof
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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/bf01450016openalex-snapshot
Zur Widerspruchsfreiheit der Zahlentheorie
inferredcites →https://doi.org/10.2307/1970691openalex-snapshot
Consistency Proofs of Subsystems of Classical Analysis
inferredcites →https://doi.org/10.2307/2266226openalex-snapshot
Gerhard Gentzen. Neue Fassung des Widerspruchsfreiheitsbeweises für die reine Zahlentheorie. Forschungen zur Logik und zur Grundlegung der exakten Wissenschaften, neue Folge, Heft 4, S. 19–44. S. Hirzel, Leipzig1938.
inferredcites →https://doi.org/10.2307/2964334openalex-snapshot
Concerning formulas of the types A→B ν C,A →(Ex)B(x) in intuitionistic formal systems
What points at this work
Incoming claims: where this work appears in other papers’ reference lists and arguments.
inferred← citeshttps://doi.org/10.1007/978-3-319-10103-3_6openalex-snapshot
A Note on How to Extend Gentzen’s Second Consistency Proof to a Proof of Normalization for First Order Arithmetic
inferred← citeshttps://doi.org/10.1007/978-94-009-8937-5_9openalex-snapshot
Intuitive Proofs and First-Order Derivations: Some Notes on the Metamathematics of First-Order Number Theory
inferred← citeshttps://doi.org/10.1007/bf01117473openalex-snapshot
Exact estimates of the provability of transfinite induction in the initial segments of arithmetic
inferred← citeshttps://doi.org/10.1007/bf01629442openalex-snapshot
A new reduction sequence for arithmetic
inferred← citeshttps://doi.org/10.1007/bf02015375openalex-snapshot
Disjunctive properties of intuitionistic systems
inferred← citeshttps://doi.org/10.1007/bf02567344openalex-snapshot
A model of intuitionistic analysis
inferred← citeshttps://doi.org/10.1016/0003-4843(73)90008-9openalex-snapshot
On barinduction of higher types for decidable predicates
inferred← citeshttps://doi.org/10.1016/0003-4843(74)90010-2openalex-snapshot
The correspondence between cut-elimination and normalization
inferred← citeshttps://doi.org/10.1016/0003-4843(74)90011-4openalex-snapshot
The correspondence between cut-elimination and normalization II
inferred← citeshttps://doi.org/10.1016/s0049-237x(08)70758-4openalex-snapshot
On Cut Elimination in Intuitionistic Systems of Analysis
inferred← citeshttps://doi.org/10.1016/s0049-237x(08)70849-8openalex-snapshot
Ideas and Results in Proof Theory
inferred← citeshttps://doi.org/10.2139/ssrn.3638937openalex-snapshot
A Mathematical Model of Quantum Computer by Both Arithmetic and Set Theory
inferred← citeshttps://doi.org/10.2139/ssrn.3644960openalex-snapshot
The Quantum Strategy of Completeness: On the Self-Foundation of Mathematics
inferred← citeshttps://doi.org/10.2307/2271944openalex-snapshot
First steps in intuitionistic model theory
inferred← citeshttps://doi.org/10.2969/jmsj/02920327openalex-snapshot
A normalization theorem in formal theories of natural numbers
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