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Volumn 68, Issue 1, 2003, Pages 5-16

An application of graphical enumeration to PA

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EID: 0037356292     PISSN: 00224812     EISSN: None     Source Type: Journal    
DOI: 10.2178/jsl/1045861503     Document Type: Article
Times cited : (25)

References (16)
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    • Number theoretic density and logical limit laws, Mathematical Surveys and Monographs
    • S. N. Burris, Number theoretic density and logical limit laws, Mathematical Surveys and Monographs, vol. 86, American Mathematical Society.
    • American Mathematical Society , vol.86
    • Burris, S.N.1
  • 3
  • 4
    • 84960557830 scopus 로고
    • Asymptotic formulae for the distribution of integers of various types
    • G. H. Hardy and S. Ramanujan, Asymptotic formulae for the distribution of integers of various types, Proceedings of the London Mathematical Society, vol. 16 (1917), pp. 112-132.
    • (1917) Proceedings of the London Mathematical Society , vol.16 , pp. 112-132
    • Hardy, G.H.1    Ramanujan, S.2
  • 5
    • 84916498981 scopus 로고
    • Well-quasi-orderings, the tree theorem, and Vázsonyi’s conjecture
    • J. B. Kruskal, Well-quasi-orderings, the tree theorem, and Vázsonyi’s conjecture, Transactions of the American Mathematical Society, vol. 95 (1960), pp. 210-225.
    • (1960) Transactions of the American Mathematical Society , vol.95 , pp. 210-225
    • Kruskal, J.B.1
  • 9
    • 0000902966 scopus 로고
    • The number of trees
    • R. Otter, The number of trees, Annals of Mathematics, vol. 49 (1948), pp. 583-599.
    • (1948) Annals of Mathematics , vol.49 , pp. 583-599
    • Otter, R.1
  • 10
    • 38249004336 scopus 로고
    • Proof-theoretic investigations on Kruskal’s theorem
    • M. Rathjen and A. Weiermann, Proof-theoretic investigations on Kruskal’s theorem, Annals of Pure and Applied Logic, vol. 60 (1993), pp. 49-88.
    • (1993) Annals of Pure and Applied Logic , vol.60 , pp. 49-88
    • Rathjen, M.1    Weiermann, A.2
  • 11
    • 0012788897 scopus 로고
    • The enumeration of trees by height and diameter
    • J. Riordan, The enumeration of trees by height and diameter, IBM Journal of Research and Development, vol. 4 (1960), pp. 473-478.
    • (1960) IBM Journal of Research and Development , vol.4 , pp. 473-478
    • Riordan, J.1
  • 13
    • 77956710554 scopus 로고
    • Non-provability of certain combinatorial properties of finite trees
    • North-Holland, Amsterdam
    • S. G. Simpson, Non-provability of certain combinatorial properties of finite trees, Harvey Friedman’s research on the foundations of mathematics, North-Holland, Amsterdam, 1985, pp. 87-117.
    • (1985) Harvey Friedman’s Research on the Foundations of Mathematics , pp. 87-117
    • Simpson, S.G.1
  • 14
    • 85012573117 scopus 로고
    • The consistency strength of some finite forms of the Higman and Kruskal theorems
    • North-Holland, Amsterdam
    • R. Smith, The consistency strength of some finite forms of the Higman and Kruskal theorems, Harvey Friedman’s research on the foundations of mathematics, North-Holland, Amsterdam, 1985, pp. 119-136.
    • (1985) Harvey Friedman’s Research on the Foundations of Mathematics , pp. 119-136
    • Smith, R.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.