Applications of matrix methods to the theory of lower bounds in computational complexity

Author:

Razborov A. A.

Publisher

Springer Science and Business Media LLC

Subject

Computational Mathematics,Discrete Mathematics and Combinatorics

Reference23 articles.

1. A. E. АНДРЕЕВ, ОБ ОДНОМ МЕтОДЕ пОлУЧЕНИь НИжНИх ОцЕНОк слОж НОстИ ИНДИВИДУАльН ых МОНОтОННых ФУНкцИИ — ДАН сссР,1985, т. 282, N5, 1033–1037. (Engl. transl. in:Sov. Math. Dokl. 31, 530–534.)

2. A. E. АНДРЕЕВ, ОБ ОДНОМ МЕтОДЕ пОлУЧЕНИь ЁФФЕктИВНых НИжНИх ОцЕНОк МОНОтОННОИ слОжНОстИ, АлгЕБРА И лОгИкА,1987, т. 26, 1, с. 3–26.

3. А. А. РАжБОРОВ, НИжНИЕ ОцЕНкИ МОНОтОННОИ слОжНОстИ НЕкОтОРых БУлЕВых ФУНкцИИ — ДАН сссР,1985, т. 281, N4, с. 798–801. (Engl. transl. in:Sov. Math. Dokl. 31, 354–357.)

4. А. А. РАжБОРОВ, НИжНИЕ ОцЕНкИ МОНОтОННОИ слОжНОстИ лОгИЧЕс кОгО пЕРМАНЕНтА — “МАтЕМ. жАМ.”,1985, т. 37, Вып. 6, с. 887–900. (Engl. transl. in:Mathem. Notes of the Academy of Sci. of the USSR 37, 485–493.)

5. А. А. РАжБОРОВ, НИж НИЕ ОцЕНкИ РАжМЕРА сх ЕМ ОгРАНИЧЕННОИ глУБИНы В пОлНОМ БАжИсЕ, сОДЕРжАЩЕМ ФУНкцИУ лОгИЧЕскОгО слОжЕНИь —МАтЕМ. жАМ.,1987, т. 41, Вып. 4, с. 598–607. (Engl. transl. in:Mathem. Notes of the Academy of Sci. of the USSR. 41:4, 333–338.)

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