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Volumn 201, Issue 1-2, 1998, Pages 63-84

Ordinal recursive bounds for Higman's theorem

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EID: 0011653638     PISSN: 03043975     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0304-3975(97)00009-1     Document Type: Article
Times cited : (24)

References (18)
  • 1
    • 0002193763 scopus 로고
    • A short proof of two recently discovered independence results using recursion theoretic methods
    • E.A. Cichon, A short proof of two recently discovered independence results using recursion theoretic methods, Proc. Amer. Math. Soc. 87 (1983).
    • (1983) Proc. Amer. Math. Soc. , vol.87
    • Cichon, E.A.1
  • 2
    • 0346500037 scopus 로고    scopus 로고
    • An ordinal calculus for proving termination in term rewriting
    • Proc. Conf. on Trees in Algebra and Programming - CAAP 96
    • E.A. Cichon and H. Touzet, An ordinal calculus for proving termination in term rewriting, Proc. Conf. on Trees in Algebra and Programming - CAAP 96, Lecture Notes in Computer Science, Vol. 1059 (1996).
    • (1996) Lecture Notes in Computer Science , vol.1059
    • Cichon, E.A.1    Touzet, H.2
  • 4
    • 0007436082 scopus 로고
    • Subrecursive hierarchies via direct limits
    • Richter, Borger, Oberschelp, Schinzel and Thomas, eds., Logic Colloquium 83, Springer, Berlin
    • E. Dennis-Jones and S.S. Wainer, Subrecursive hierarchies via direct limits, in: Richter, Borger, Oberschelp, Schinzel and Thomas, eds., Logic Colloquium 83, Lecture Notes in Mathematics, Vol. 1104 (Springer, Berlin, 1984) 117-128.
    • (1984) Lecture Notes in Mathematics , vol.1104 , pp. 117-128
    • Dennis-Jones, E.1    Wainer, S.S.2
  • 6
    • 0010201664 scopus 로고
    • 0. A survey of some results in proof theory
    • 0. A survey of some results in proof theory, Ann. Pure Appl. Logic 53 (1991).
    • (1991) Ann. Pure Appl. Logic , vol.53
    • Gallier, J.1
  • 9
    • 2342602587 scopus 로고
    • Analyse combinatoire: Sur un théorème d'extension dans la théorie des mots
    • P. Jullien, Analyse combinatoire: sur un théorème d'extension dans la théorie des mots, C. R. Acad. Sci Paris, Ser. A 266 (1968).
    • (1968) C. R. Acad. Sci Paris, Ser. A , vol.266
    • Jullien, P.1
  • 10
    • 0000268733 scopus 로고
    • Accessible independence results for Peano arithmetic
    • L.A.S. Kirby and J. Paris, Accessible independence results for Peano arithmetic, Bull. London Math. Soc. 14 (1982).
    • (1982) Bull. London Math. Soc. , vol.14
    • Kirby, L.A.S.1    Paris, J.2
  • 14
    • 0013001366 scopus 로고
    • Ein in der reinen Zahlentheorie unbeweisbarer Satz über endliche Folgen von natürlichen Zahlen
    • K. Schütte and S.G. Simpson, Ein in der reinen Zahlentheorie unbeweisbarer Satz über endliche Folgen von natürlichen Zahlen, Archiv für mathematische Logik und Grundlagenforschung 25 (1985) 75-89.
    • (1985) Archiv für Mathematische Logik und Grundlagenforschung , vol.25 , pp. 75-89
    • Schütte, K.1    Simpson, S.G.2
  • 15
    • 0004393315 scopus 로고
    • Rekursionzahlen und die Grzegorczyk-Hierarchie
    • H. Schwichtenberg, Rekursionzahlen und die Grzegorczyk-Hierarchie, Arch. Math. Logik 12 (1969) 85-97.
    • (1969) Arch. Math. Logik , vol.12 , pp. 85-97
    • Schwichtenberg, H.1
  • 17
    • 0010723405 scopus 로고
    • A classification of the ordinal recursive functions
    • S.S. Wainer, A classification of the ordinal recursive functions, Arch. Math. Logik 13 (1970) 136-153.
    • (1970) Arch. Math. Logik , vol.13 , pp. 136-153
    • Wainer, S.S.1
  • 18
    • 0001108010 scopus 로고
    • Ordinal recursion and a refinement of the extended Grzegorczyk hierarchy
    • S.S. Wainer, Ordinal recursion and a refinement of the extended Grzegorczyk hierarchy, J. Symbol. Logic 37 (1972) 281-292.
    • (1972) J. Symbol. Logic , vol.37 , pp. 281-292
    • Wainer, S.S.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.