The machinery of consistency proofs
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Publication:1124588
DOI10.1016/0168-0072(89)90050-XzbMath0679.03023MaRDI QIDQ1124588
Publication date: 1989
Published in: Annals of Pure and Applied Logic (Search for Journal in Brave)
second-order systemproof theoryclosed sequentconsistency proofenrichment of sequentomega-derivationprimitive recursive proceduresecond-order comprehension
Related Items (2)
Strong normalization theorem for a constructive arithmetic with definition by transfinite recursion and bar induction ⋮ ``Gaisi Takeuti's finitist standpoint and its mathematical embodiment
Cites Work
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- Ordinal diagrams
- Ordinal diagrams. II
- An accessibility proof of ordinal diagrams in intuitionistic theories for iterated inductive definitions
- Groundedness property and accessibility of ordinal diagrams
- Proof theory. 2nd ed
- A subsystem of classical analysis proper to Takeuti's reduction method for \(\Pi ^ 1_ 1\)-analysis
- A two-storied universe of transfinite mechanisms
- An interpretation of intuitionistic analysis with restricted transfinite inductive definitions
- Gentzen reduction revisited
- An accessibility proof of ordinal diagrams
- Consistency proofs of subsystems of classical analysis
- Cut elimination theorem for second order arithmetic with the \(\Pi^ 1_ 1\)-comprehension axiom and the \(\omega\)-rule
- Intuitionistic analysis and Gödel's interpretation
- Beweisbarkeit und Unbeweisbarkeit von Anfangsfällen der transfiniten Induktion in der reinen Zahlentheorie
- Choice principles, the bar rule and autonomously iterated comprehension schemes in analysis
- ÜBER EINE BISHER NOCH NICHT BENÜTZTE ERWEITERUNG DES FINITEN STANDPUNKTES
- Information-Extraction Through Reduction Methods In Some Formal Systems
- Some properties of ordinal diagrams
- Ein konstruktives system von Ordinalzahlen
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