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Hyperarithmetical worm battles

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Publication:2151396
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DOI10.1007/978-3-030-93100-1_5OpenAlexW4200573286MaRDI QIDQ2151396

David Fernández-Duque, Joost J. Joosten, Konstnatinos Papafilippou

Publication date: 1 July 2022

Full work available at URL: https://arxiv.org/abs/2112.07473


zbMATH Keywords

ordinal analysisindependence resultsprovability logics


Mathematics Subject Classification ID

Logic in computer science (03B70)





Cites Work

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  • On provability logics with linearly ordered modalities
  • Turing-Taylor expansions for arithmetic theories
  • Induction rules, reflection principles, and provably recursive functions
  • The omega-rule interpretation of transfinite provability logic
  • Provability algebras and proof-theoretic ordinals. I
  • Reflection algebras and conservation results for theories of iterated truth
  • Truth, disjunction, and induction
  • The polytopologies of transfinite provability logic
  • Reflection principles and provability algebras in formal arithmetic
  • The optimality of induction as an axiomatization of arithmetic
  • Well-orders in the transfinite Japaridze algebra
  • MÜNCHHAUSEN PROVABILITY
  • Models of transfinite provability logic
  • PREDICATIVITY THROUGH TRANSFINITE REFLECTION




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