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Volumn 58, Issue 2, 1999, Pages 326-335

An exponential lower bound for the size of monotone real circuits

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTATIONAL COMPLEXITY; DIGITAL ARITHMETIC; FUNCTIONS; PROBLEM SOLVING;

EID: 0032676863     PISSN: 00220000     EISSN: None     Source Type: Journal    
DOI: 10.1006/jcss.1998.1617     Document Type: Article
Times cited : (43)

References (15)
  • 1
    • 51249171493 scopus 로고
    • The monotone circuit complexity of Boolean functions
    • AB87
    • [AB87] N. Alon and R. B. Boppana, The monotone circuit complexity of Boolean functions, Combinatorica 7, No. 1 (1987), 1-22.
    • (1987) Combinatorica , vol.7 , Issue.1 , pp. 1-22
    • Alon, N.1    Boppana, R.B.2
  • 2
    • 0041050442 scopus 로고
    • On a method for obtaining lower bounds for the complexity of individual monotone functions
    • And85
    • [And85] A. E. Andreev, On a method for obtaining lower bounds for the complexity of individual monotone functions, Dok. Akad. Nauk SSSR 282, No. 5 (1985), 1033-1037.
    • (1985) Dok. Akad. Nauk SSSR , vol.282 , Issue.5 , pp. 1033-1037
    • Andreev, A.E.1
  • 6
    • 0024090265 scopus 로고
    • Many hard examples for resolution
    • CS88
    • [CS88] V. Chvátal and E. Szemerédi, Many hard examples for resolution, J. Assoc. Comput. Mach. 35, No. 4 (1988), 759-768.
    • (1988) J. Assoc. Comput. Mach. , vol.35 , Issue.4 , pp. 759-768
    • Chvátal, V.1    Szemerédi, E.2
  • 7
    • 0023466724 scopus 로고
    • On the complexity of cutting plane proofs
    • CCT87
    • [CCT87] W. Cook, C. R. Coullard, and Gy. Turán, On the complexity of cutting plane proofs, Disc. Appl. Math. (1987), 25-38.
    • (1987) Disc. Appl. Math. , pp. 25-38
    • Cook, W.1    Coullard, C.R.2    Turán, G.3
  • 8
    • 0000076101 scopus 로고
    • The intractability of resolution
    • Hak85
    • [Hak85] A. Haken, The intractability of resolution, Theoret. Comput. Sci. 39 (1985), 297-308.
    • (1985) Theoret. Comput. Sci. , vol.39 , pp. 297-308
    • Haken, A.1
  • 11
    • 0031504901 scopus 로고    scopus 로고
    • Lower bounds for resolution and cutting plane proofs and monotone computations
    • Pud95B
    • [Pud95B] P. Pudlák, Lower bounds for resolution and cutting plane proofs and monotone computations, J. Symbolic Logic 62, No. 3 (1997), 981-998.
    • (1997) J. Symbolic Logic , vol.62 , Issue.3 , pp. 981-998
    • Pudlák, P.1
  • 12
    • 0000574714 scopus 로고
    • Lower bounds on the monotone complexity of some Boolean functions
    • Raz85
    • [Raz85] A. A. Razborov, Lower bounds on the monotone complexity of some Boolean functions, Dokl. Akad. Nauk SSSR 281, No. 4 (1985), 798-801.
    • (1985) Dokl. Akad. Nauk SSSR , vol.281 , Issue.4 , pp. 798-801
    • Razborov, A.A.1
  • 14
    • 84911291704 scopus 로고
    • Hard examples for resolution
    • Urq87
    • [Urq87] A. Urquhart, Hard examples for resolution, J. Assoc. Comput. Mach. 34, No. 1 (1987), 209-219.
    • (1987) J. Assoc. Comput. Mach. , vol.34 , Issue.1 , pp. 209-219
    • Urquhart, A.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.