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Volumn 210, Issue 1, 1999, Pages 21-71

Achilles and the Tortoise climbing up the hyper-arithmetical hierarchy

Author keywords

Computability; Derivative systems; Hybrid systems; Hyper arithmetical hierarchy; Piecewise constant

Indexed keywords


EID: 0002260412     PISSN: 03043975     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0304-3975(98)00096-6     Document Type: Article
Times cited : (35)

References (16)
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  • 3
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    • Achilles and the Tortoise climbing up the arithmetical hierarchy
    • Proc. FSTTCS, Springer, Berlin
    • E. Asarin, O. Maler, Achilles and the Tortoise climbing up the arithmetical hierarchy, Proc. FSTTCS, Lecture Notes in Computer Science, vol. 1026, Springer, Berlin, 1995, pp. 471-483.
    • (1995) Lecture Notes in Computer Science , vol.1026 , pp. 471-483
    • Asarin, E.1    Maler, O.2
  • 4
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    • Asarin, E.1    Maler, O.2    Pnueli, A.3
  • 5
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    • On a theory of computation and complexity over the real numbers: NP-completeness, recursive functions and universal machines
    • L. Blum, M. Shub, S. Smale, On a theory of computation and complexity over the real numbers: NP-completeness, recursive functions and universal machines, Bull. Amer. Math. Soc. 21 (1) (1989) 1-46.
    • (1989) Bull. Amer. Math. Soc. , vol.21 , Issue.1 , pp. 1-46
    • Blum, L.1    Shub, M.2    Smale, S.3
  • 7
    • 0039711165 scopus 로고    scopus 로고
    • Some bounds on the computational power of piecewise constant derivative systems
    • Proc. ICALP'97, Springer, Berlin
    • O. Bournez, Some bounds on the computational power of piecewise constant derivative systems, Proc. ICALP'97, Lecture Notes in Computer Science, vol. 1256, Springer, Berlin, 1997, pp. 143-153.
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    • Bournez, O.1
  • 9
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    • On the computational power of hybrid and dynamical systems
    • O. Bournez, M. Cosnard, On the computational power of hybrid and dynamical systems, Theoret. Comput. Sci. 168 (2) (1996) 417-459.
    • (1996) Theoret. Comput. Sci. , vol.168 , Issue.2 , pp. 417-459
    • Bournez, O.1    Cosnard, M.2
  • 10
    • 0029637353 scopus 로고
    • Universal computation and other capabilities of hybrid and continuous dynamical systems
    • M.S. Branicky, Universal computation and other capabilities of hybrid and continuous dynamical systems, Theoret. Comput. Sci. 138 (1995) 67-100.
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  • 12
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    • Computing over the reals with addition and order
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    • Recursion theory on the reals and continuous-time computation
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    • Moore, C.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.