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Volumn , Issue , 2006, Pages 23-31

Scheme-based systematic exploration of natural numbers

Author keywords

[No Author keywords available]

Indexed keywords

PATENTS AND INVENTIONS;

EID: 46449138738     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1109/SYNASC.2006.67     Document Type: Conference Paper
Times cited : (4)

References (20)
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    • A. Asperti, G. Bancerek, and A. Trybulec, editors, Poland, September 19-21, of, Springer Berlin, Heidelberg
    • A. Asperti, G. Bancerek, and A. Trybulec, editors. Mathematical Knowledge Management: Third International Conference MKM 2004 Bialowieza, Poland, September 19-21, 2004, volume 3119 of Lecture Notes in Computer Science. Springer Berlin / Heidelberg, 2004.
    • (2004) Lecture Notes in Computer Science , vol.3119
  • 2
    • 35048898911 scopus 로고    scopus 로고
    • Mathematical Knowledge Management: Second International Conference, MKM 2003, Bertinoro
    • A. Asperti, B. Buchberger, and J. Davenport, editors, Italy, February 16-18, of, Springer Berlin, Heidelberg
    • A. Asperti, B. Buchberger, and J. Davenport, editors. Mathematical Knowledge Management: Second International Conference, MKM 2003, Bertinoro, Italy, February 16-18, 2003, volume 2594 of Lecture Notes in Computer Science. Springer Berlin / Heidelberg, 2003.
    • (2003) Lecture Notes in Computer Science , vol.2594
  • 3
    • 46449127800 scopus 로고    scopus 로고
    • B. Buchberger. Algorithm-supported mathematical theory exploration: A personal view and strategy. Lecture Notes in Artificial Intelligence, Springer, 7th Conference on Artificial Intelligence and Symbolic Computation(Research Institute for Symbolic Computation, Hagenberg, Austria) (Proceedings of AISC 2004): 16, September.
    • B. Buchberger. Algorithm-supported mathematical theory exploration: A personal view and strategy. Lecture Notes in Artificial Intelligence, Springer, 7th Conference on Artificial Intelligence and Symbolic Computation(Research Institute for Symbolic Computation, Hagenberg, Austria) (Proceedings of AISC 2004): 16, September.
  • 5
    • 46449086493 scopus 로고    scopus 로고
    • B. Buchberger. Algorithm invention and verification by lazy thinking. In D. Petcu, V. Negru, D. Zaharie, and T. Jebelean, editors, Proceedings of SYNASC 2003, 5th International Workshop on Symbolic and Numeric Algorithms for Scientific Computing Timisoara, pages 2-26, Timisoara, Romania, 1-4 October 2003. Copyright: Mirton Publisher.
    • B. Buchberger. Algorithm invention and verification by lazy thinking. In D. Petcu, V. Negru, D. Zaharie, and T. Jebelean, editors, Proceedings of SYNASC 2003, 5th International Workshop on Symbolic and Numeric Algorithms for Scientific Computing Timisoara, pages 2-26, Timisoara, Romania, 1-4 October 2003. Copyright: Mirton Publisher.
  • 8
    • 46449089772 scopus 로고    scopus 로고
    • B. Buchberger and A. Craciun. Algorithm synthesis by lazy thinking: Using problem schemes. In D.Petcu, V.Negru, D.Zaharie, and T.Jebelean, editors, Proceedings of SYNASC 2004, 6th International Symposium on Symbolic and Numeric Algorithms for Scientific Computing Timisoara, pages 90-106, Timisoara, Romania, 26-30 September 2004. Copyright: Mirton Publisher.
    • B. Buchberger and A. Craciun. Algorithm synthesis by lazy thinking: Using problem schemes. In D.Petcu, V.Negru, D.Zaharie, and T.Jebelean, editors, Proceedings of SYNASC 2004, 6th International Symposium on Symbolic and Numeric Algorithms for Scientific Computing Timisoara, pages 90-106, Timisoara, Romania, 26-30 September 2004. Copyright: Mirton Publisher.
  • 10
    • 18944377207 scopus 로고    scopus 로고
    • B. Buchberger and A. Crǎciun. Algorithm synthesis by lazy thinking: Examples and implementation in theorema. In F. Kamareddine, editor, Electronic Notes in Theoretical Computer Science, 93, pages 24-59, 18 February 2004. Proc. of the Mathematical Knowledge Management Workshop, Edinburgh, Nov. 25, 2003.
    • B. Buchberger and A. Crǎciun. Algorithm synthesis by lazy thinking: Examples and implementation in theorema. In F. Kamareddine, editor, Electronic Notes in Theoretical Computer Science, volume 93, pages 24-59, 18 February 2004. Proc. of the Mathematical Knowledge Management Workshop, Edinburgh, Nov. 25, 2003.
  • 11
    • 46449095238 scopus 로고    scopus 로고
    • Theorema: A progress report. Technical Report 99-42, RISC Report Series, University of Linz, Austria
    • December, 99-35, Johannes Kepler University Linz, Spezialforschungsbereich F013, December, 1999
    • B. Buchberger, C. Dupre, T. Jebelean, F. Kriftner, K. Nakagawa, D. Vasaru, and W.Windsteiger. Theorema: A progress report. Technical Report 99-42, RISC Report Series, University of Linz, Austria, December 1999. Also available as SFB Report 99-35, Johannes Kepler University Linz, Spezialforschungsbereich F013, December, 1999.
    • (1999) Also available as SFB Report
    • Buchberger, B.1    Dupre, C.2    Jebelean, T.3    Kriftner, F.4    Nakagawa, K.5    Vasaru, D.6    Windsteiger, W.7
  • 12
    • 46449133921 scopus 로고    scopus 로고
    • B. Buchberger, T. Jebelean, F. Kriftner, M. Marin, E. Tomuta, and D. Vasaru. A survey of the theorema project. Technical Report 97-15, RISC Report Series, University of Linz, Austria, March 1997.
    • B. Buchberger, T. Jebelean, F. Kriftner, M. Marin, E. Tomuta, and D. Vasaru. A survey of the theorema project. Technical Report 97-15, RISC Report Series, University of Linz, Austria, March 1997.
  • 13
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    • Automated Theory Formation in Pure Mathematics
    • Springer Verlag
    • S. Colton. Automated Theory Formation in Pure Mathematics. Distinguished Dissertations. Springer Verlag, 2002.
    • (2002) Distinguished
    • Colton, S.1
  • 16
    • 46449128549 scopus 로고    scopus 로고
    • The quotient-remainder theorem for naturals: Discovery by lazy thinking
    • Technical Report no.09-06, I-eAT
    • A. Crǎciun and M. Hodorog. The quotient-remainder theorem for naturals: Discovery by lazy thinking. Technical Report no.09-06, I-eAT, 2006.
    • (2006)
    • Crǎciun, A.1    Hodorog, M.2
  • 17
    • 46449124010 scopus 로고    scopus 로고
    • Scheme-based systematic exploration of mathematical theories, case study: The natural numbers
    • Technical Report no.07-06, I-eAT
    • M. Hodorog. Scheme-based systematic exploration of mathematical theories, case study: The natural numbers. Technical Report no.07-06, I-eAT, 2006.
    • (2006)
    • Hodorog, M.1
  • 18
    • 46449106120 scopus 로고    scopus 로고
    • Z. Manna and R. Waldinger. The Logical Basis for Computer Programming, I, Deductive Reasoning. Addison-Wesley Publishing Co, SUA, 1985.
    • Z. Manna and R. Waldinger. The Logical Basis for Computer Programming, Volume I, Deductive Reasoning. Addison-Wesley Publishing Co, SUA, 1985.


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.