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Volumn 1421, Issue , 1998, Pages 3-16

A combination of nonstandard analysis and geometry theorem proving, with application to Newton's Principia

Author keywords

[No Author keywords available]

Indexed keywords

AUTOMATION; GEOMETRY;

EID: 81755168801     PISSN: 03029743     EISSN: 16113349     Source Type: Book Series    
DOI: 10.1007/bfb0054241     Document Type: Conference Paper
Times cited : (11)

References (17)
  • 1
    • 84976779126 scopus 로고
    • Automatic Proofs of Theorems in Analysis Using Nonstandard Analysis
    • July
    • A.M. Ballantyne and W.W. Bledsoe. Automatic Proofs of Theorems in Analysis Using Nonstandard Analysis. J. of the Association of Computing Machinery, Vol. 24, No. 3, July 1977, 353-374.
    • (1977) J. of the Association of Computing Machinery , vol.24 , Issue.3 , pp. 353-374
    • Ballantyne, A.M.1    Bledsoe, W.W.2
  • 2
    • 84957078852 scopus 로고
    • Infmal: Prototype of an Interactive Theorem Prover based on Infinitesimal Analysis
    • Pontifica Universidad Catolica de Chile, Santiago, Chile
    • T. Bedrax. Infmal: Prototype of an Interactive Theorem Prover based on Infinitesimal Analysis. Liciendo en Mathematica con Mencion en Computation Thesis. Pontifica Universidad Catolica de Chile, Santiago, Chile, 1993.
    • (1993) Liciendo en Mathematica con Mencion en Computation Thesis
    • Bedrax, T.1
  • 3
    • 61149720777 scopus 로고
    • The Analyst: A Discourse Addressed to an Infidel Mathematician
    • London. Allen and Unwin
    • G. Berkeley. The Analyst: A Discourse Addressed to an Infidel Mathematician. The World of Mathematics, Vol. 1, London. Allen and Unwin, 1956, 288-293.
    • (1956) The World of Mathematics , vol.1 , pp. 288-293
    • Berkeley, G.1
  • 7
    • 85034829550 scopus 로고
    • Geometry Theorem Proving using Hilbert's Nullstellensatz
    • Waterloo
    • D. Kapur. Geometry Theorem Proving using Hilbert's Nullstellensatz. Proceedings of SYMSAC'86, Waterloo, 1986, 202-208.
    • (1986) Proceedings of SYMSAC'86 , pp. 202-208
    • Kapur, D.1
  • 8
    • 0004096310 scopus 로고
    • Prindle, Weber & Schmidt, 20 Newbury Street, Boston, Massachusetts
    • H.J. Keisler. Foundations of Infinitesimal Calculus. Prindle, Weber & Schmidt, 20 Newbury Street, Boston, Massachusetts, 1976.
    • (1976) Foundations of Infinitesimal Calculus
    • Keisler, H.J.1
  • 9
    • 0003580846 scopus 로고    scopus 로고
    • Third edition, 1726. Translation by A. Motte (1729). Revised by F. Cajory 1934. University of California Press
    • I. Newton. The Mathematical Principles of Natural Philosophy. Third edition, 1726. Translation by A. Motte (1729). Revised by F. Cajory 1934. University of California Press.
    • The Mathematical Principles of Natural Philosophy
    • Newton, I.1
  • 10
    • 0039720656 scopus 로고
    • Diagrams for Solving Physical Problems
    • AAAI Press/MIT Press,,. (Eds. Janice Glasgow, N. Hari Narayana, and B. Chandrasekaram)
    • S Novak Jr. Diagrams for Solving Physical Problems. Diagrammatic Reasoning: Cognitive and Computational Perspectives, AAAI Press/MIT Press, 753-774, 1995. (Eds. Janice Glasgow, N. Hari Narayana, and B. Chandrasekaram).
    • (1995) Diagrammatic Reasoning: Cognitive and Computational Perspectives , pp. 753-774
    • Novak, S.1
  • 12
    • 0004232766 scopus 로고
    • North-Holland Publishing Company,. 1966, first edition
    • A. Robinson. Non-Standard Analysis. North-Holland Publishing Company, 1980. 1966, first edition.
    • (1980) Non-Standard Analysis
    • Robinson, A.1
  • 13
    • 21844491092 scopus 로고
    • Free-Variable Axiomatic Foundations of Infinitesimal Analysis: A Fragment with Finitary Consistency Proof
    • March
    • R. Chuaqui and P. Suppes. Free-Variable Axiomatic Foundations of Infinitesimal Analysis: A Fragment with Finitary Consistency Proof. J. Symbolic Logic, Vol. 60, No. 1, March 1995.
    • (1995) J. Symbolic Logic , vol.60 , Issue.1
    • Chuaqui, R.1    Suppes, P.2
  • 17
    • 2342612062 scopus 로고
    • Mechanical Theorem Proving of Differential Geometries and Some of its Applications in Mechanics
    • W.-T. Wu. Mechanical Theorem Proving of Differential Geometries and Some of its Applications in Mechanics. J. Automated Reasoning 7 (1991), 171-191.
    • (1991) J. Automated Reasoning , vol.7 , pp. 171-191
    • Wu, W.-T.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.