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Volumn 314, Issue 1-2, 2004, Pages 281-285

On the P-NP problem over real matrix rings

Author keywords

Blum Shub Smale model; Matrix ring; Polynomial complexity classes

Indexed keywords

ALGEBRA; COMPUTATIONAL METHODS; MATHEMATICAL MODELS; MATRIX ALGEBRA; POLYNOMIALS; PROBLEM SOLVING; SET THEORY; THEOREM PROVING;

EID: 84983722938     PISSN: 03043975     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.tcs.2003.11.022     Document Type: Article
Times cited : (2)

References (9)
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    • Blum, L.1    Shub, M.2    Smale, S.3
  • 4
    • 0035173522 scopus 로고    scopus 로고
    • The P-DNP problem for infinite abelian groups
    • Gaßner C. The P-DNP problem for infinite abelian groups. J. Complexity. 17:2001;574-583.
    • (2001) J. Complexity , vol.17 , pp. 574-583
    • Gaßner, C.1
  • 5
    • 0032221658 scopus 로고    scopus 로고
    • Computability and complexity over structures
    • Hemmerling A. Computability and complexity over structures. Math. Logic Quart. 44(1):1998;1-44.
    • (1998) Math. Logic Quart. , vol.44 , Issue.1 , pp. 1-44
    • Hemmerling, A.1
  • 6
    • 0028517437 scopus 로고
    • Computing over the reals with addition and order
    • Koiran P. Computing over the reals with addition and order. Theoret. Comput. Sci. 133:1994;35-47.
    • (1994) Theoret. Comput. Sci. , vol.133 , pp. 35-47
    • Koiran, P.1
  • 7
    • 0001074993 scopus 로고
    • A note on P≠ NP -result for a restricted class of real machines
    • Meer K. A note on. P≠ NP -result for a restricted class of real machines J. Complexity. 8:1992;451-453.
    • (1992) J. Complexity , vol.8 , pp. 451-453
    • Meer, K.1
  • 8
    • 0036002875 scopus 로고    scopus 로고
    • A model-theoretic proof of P≠ NP over all infinite abelian groups
    • Prunescu M. A model-theoretic proof of. P≠ NP over all infinite abelian groups J. Symbolic Logic. 67(1):2002;235-238.
    • (2002) J. Symbolic Logic , vol.67 , Issue.1 , pp. 235-238
    • Prunescu, M.1
  • 9
    • 0037235441 scopus 로고    scopus 로고
    • P ≠ NP for all infinite Boolean algebras
    • Prunescu M. P≠ NP for all infinite Boolean algebras Math. Logic Quart. 49(2):2003;210-213.
    • (2003) Math. Logic Quart. , vol.49 , Issue.2 , pp. 210-213
    • Prunescu, M.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.