Ordinal arithmetic: Algorithms and mechanization

DOI10.1007/s10817-005-9023-9zbMath1108.03020OpenAlexW1972787069MaRDI QIDQ851144

Panagiotis Manolios, Daron Vroon

Publication date: 17 November 2006

Published in: Journal of Automated Reasoning (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10817-005-9023-9

zbMATH Keywords

theorem provingautomated reasoningordinal arithmeticterminationACL2compact ordinal notations

Mathematics Subject Classification ID

Related Items (5)

Type-theoretic approaches to ordinals ⋮ The Ideal Approach to Computing Closed Subsets in Well-Quasi-orderings ⋮ Beyond polynomials and Peano arithmetic -- automation of elementary and ordinal interpretations ⋮ Inference rules for proving the equivalence of recursive procedures ⋮ Inference Rules for Proving the Equivalence of Recursive Procedures

Uses Software

• ACL2
• Coq
• Isabelle
• ML
• PVS
• Mizar
• Isabelle/ZF
• HOL
• NQTHM

Cites Work

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• Automated Deduction – CADE-19
• Automated Deduction – CADE-19
• The consistency of arithmetics
• Mechanizing set theory. Cardinal arithmetic and the axiom of choice

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