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Консультация № 198181
08.04.2020, 12:08
0.00 руб.
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Здравствуйте! Прошу помощи в следующем вопросе:
какая теорема разложения используется в к-значной логике?(по аналогу с двузначной)
какая теорема разложения используется в к-значной логике?(по аналогу с двузначной)
Обсуждение
13.04.2020, 12:34
общий
это ответ
Здравствуйте, cgbybyu2019@mail.ru!
Пусть переменные x[sub]1[/sub],... x[sub]n[/sub] могут принимать значения из множества E[sub]k[/sub] = {0, 1, ..., k-1} и I[sub]0[/sub](x), I[sub]1[/sub](x),... I[sub]k-1[/sub](x) - набор функций, определяемых как
Тогда любая функция f(x[sub]1[/sub],... x[sub]n[/sub]) k-значной логики может быть представлена в виде
где операции конъюнкции и дизъюнкции определяются как x[sub]i[/sub][$8743$]x[sub]j[/sub] = min(x[sub]i[/sub],x[sub]j[/sub]), x[sub]i[/sub][$8744$]x[sub]j[/sub] = max(x[sub]i[/sub],x[sub]j[/sub]).
Пусть переменные x[sub]1[/sub],... x[sub]n[/sub] могут принимать значения из множества E[sub]k[/sub] = {0, 1, ..., k-1} и I[sub]0[/sub](x), I[sub]1[/sub](x),... I[sub]k-1[/sub](x) - набор функций, определяемых как
Тогда любая функция f(x[sub]1[/sub],... x[sub]n[/sub]) k-значной логики может быть представлена в виде
где операции конъюнкции и дизъюнкции определяются как x[sub]i[/sub][$8743$]x[sub]j[/sub] = min(x[sub]i[/sub],x[sub]j[/sub]), x[sub]i[/sub][$8744$]x[sub]j[/sub] = max(x[sub]i[/sub],x[sub]j[/sub]).
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