O druhém Hilbertově problému (Otázka bezespornosti aritmetiky)
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Jiří Bečvář (1971)
Pokroky matematiky, fyziky a astronomie
Jeff B. Paris (1984)
Časopis pro pěstování matematiky
J. Lambek (1989)
Diagrammes
Milan Đurić (1977)
Zbornik Radova
Sahab Lal Shukla (1973)
Compositio Mathematica
Helmut Vogel (1983)
Fundamenta Mathematicae
Pavel Pudlák (1988)
Commentationes Mathematicae Universitatis Carolinae
A. Scedrov, R. Vesley (1983)
Archiv für mathematische Logik und Grundlagenforschung
E. López-Escobar (1976)
Fundamenta Mathematicae
Milena Lukavcová (1980)
Kybernetika
Tanaka, Yasuhito (2011)
Applied Mathematics E-Notes [electronic only]
Pavel M. Filipec (1976)
Commentationes Mathematicae Universitatis Carolinae
L. Gordeev (1987)
Archiv für mathematische Logik und Grundlagenforschung
J. Hartmanis (1976)
RAIRO - Theoretical Informatics and Applications - Informatique Théorique et Applications
Henryk Kotlarski (1983)
Fundamenta Mathematicae
Christoph Sprenger, Mads Dam (2003)
RAIRO - Theoretical Informatics and Applications - Informatique Théorique et Applications
We investigate a Gentzen-style proof system for the first-order -calculus based on cyclic proofs, produced by unfolding fixed point formulas and detecting repeated proof goals. Our system uses explicit ordinal variables and approximations to support a simple semantic induction discharge condition which ensures the well-foundedness of inductive reasoning. As the main result of this paper we propose a new syntactic discharge condition based on traces and establish its equivalence with the semantic...
Christoph Sprenger, Mads Dam (2010)
RAIRO - Theoretical Informatics and Applications
We investigate a Gentzen-style proof system for the first-order μ-calculus based on cyclic proofs, produced by unfolding fixed point formulas and detecting repeated proof goals. Our system uses explicit ordinal variables and approximations to support a simple semantic induction discharge condition which ensures the well-foundedness of inductive reasoning. As the main result of this paper we propose a new syntactic discharge condition based on traces and establish its equivalence with the semantic...
Keith Devlin (1974)
Fundamenta Mathematicae
И. Резников (1967)
Algebra i Logika
Petr Hájek (1981)
Commentationes Mathematicae Universitatis Carolinae
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