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Volumn 2741, Issue , 2003, Pages 243-258

Algorithms for ordinal arithmetic

Author keywords

[No Author keywords available]

Indexed keywords

AUTOMATION; COMPUTATIONAL COMPLEXITY; COMPUTATIONAL METHODS; COMPUTER SYSTEMS; FUNCTIONS; THEOREM PROVING;

EID: 7044220131     PISSN: 03029743     EISSN: 16113349     Source Type: Book Series    
DOI: 10.1007/978-3-540-45085-6_19     Document Type: Conference Paper
Times cited : (21)

References (35)
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    • B. Brock, M. Kaufmann, and J. S. Moore. ACL2 theorems about commercial microprocessors. In M. Srivas and A. Camilleri, editors, Formal Methods in Computer-Aided Design (FMCAD’96), pages 275–293. Springer-Verlag, 1996
    • (1996) Formal Methods in Computer-Aided Design (FMCAD’96) , pp. 275-293
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  • 4
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    • Beiträge zur Begründung der transfiniten Mengenlehre
    • G. Cantor. Beiträge zur Begründung der transfiniten Mengenlehre. Mathematische Annalen, xlvi:481–512, 1895
    • (1895) Mathematische Annalen, Xlvi , pp. 481-512
    • Cantor, G.1
  • 5
    • 0000523603 scopus 로고
    • Beiträge zur Bgründung der transfiniten Mengenlehre
    • G. Cantor. Beiträge zur Bgründung der transfiniten Mengenlehre. Mathematische Annalen, xlix:207–246, 1897
    • (1897) Mathematische Annalen, Xlix , pp. 207-246
    • Cantor, G.1
  • 7
    • 0011303423 scopus 로고
    • Formal definitions in the theory of ordinal numbers
    • A. Church and S. C. Kleene. Formal definitions in the theory of ordinal numbers. Fundamenta mathematicae, 28:11–21, 1937
    • (1937) Fundamenta Mathematicae , vol.28 , pp. 11-21
    • Church, A.1    Kleene, S.C.2
  • 12
    • 0010201664 scopus 로고
    • What’s so special about Kruskal’s theorem and the ordinal Γ0? A survey of some results in proof theory
    • J. H. Gallier. What’s so special about Kruskal’s theorem and the ordinal Γ0? A survey of some results in proof theory. Annals of Pure and Applied Logic, pages 199–260, 1991
    • (1991) Annals of Pure and Applied Logic , pp. 199-260
    • Gallier, J.H.1
  • 13
    • 0011315928 scopus 로고
    • Die widerspruchsfreiheit der reinen zahlentheorie. Mathematische Annalen, 112:493–565, 1936. English translation in M. E. Szabo (ed.), The Collected Works of Gerhard Gentzen, North Holland, Amsterdam
    • G. Gentzen. Die widerspruchsfreiheit der reinen zahlentheorie. Mathematische Annalen, 112:493–565, 1936. English translation in M. E. Szabo (ed.), The Collected Works of Gerhard Gentzen, pp. 132-213, North Holland, Amsterdam, 1969
    • (1969) , pp. 132-213
    • Gentzen, G.1
  • 16
    • 84947475709 scopus 로고    scopus 로고
    • ACL2 homepage. See URL
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    • Kaufmann, M.1    Moore, J.S.2
  • 21
    • 84957092218 scopus 로고    scopus 로고
    • Linking theorem proving and modelchecking with well-founded bisimulation
    • N. Halbwachs and D. Peled, editors, Springer-Verlag
    • P. Manolios, K. Namjoshi, and R. Sumners. Linking theorem proving and modelchecking with well-founded bisimulation. In N. Halbwachs and D. Peled, editors, Computer-Aided Verification–CAV ’99, volume 1633 of LNCS, pages 369–379. Springer-Verlag, 1999
    • (1999) Computer-Aided Verification–CAV ’99, Volume 1633 of LNCS , pp. 369-379
    • Manolios, P.1    Namjoshi, K.2    Sumners, R.3
  • 24
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    • Normal functions and constructive ordinal notations
    • June
    • L. W. Miller. Normal functions and constructive ordinal notations. Journal of Symbolic Logic, 41:439–459, June 1976
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    • Miller, L.W.1
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    • A mechanically checked proof of the AMD5K86 floating-point division program
    • September
    • J. S. Moore, T. Lynch, and M. Kaufmann. A mechanically checked proof of the AMD5K86 floating-point division program. IEEE Trans. Comp., 47(9):913–926, September 1998
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    • Moore, J.S.1    Lynch, T.2    Kaufmann, M.3
  • 28
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    • A mechanically checked proof of IEEE compliance of a registertransfer-level specification of the AMD-K7 floating-point multiplication, division, and square root instructions
    • D. M. Russinoff. A mechanically checked proof of IEEE compliance of a registertransfer-level specification of the AMD-K7 floating-point multiplication, division, and square root instructions. London Mathematical Society Journal of Computation and Mathematics, 1:148–200, December 1998
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  • 29
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    • Schütte, K.1
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    • Ordinal systems
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  • 35
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