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Консультация № 173179
11.10.2009, 19:09
0.00 руб.
0
1
1
Приветствую, Вас эксперты!
Установить, является ли данное выражение формулой, а если да, то определить, какие переменные в ней свободные, а какие связанные.
∀x(∃y(А(х)→B(y,z))
Установить, является ли данное выражение формулой, а если да, то определить, какие переменные в ней свободные, а какие связанные.
∀x(∃y(А(х)→B(y,z))
Обсуждение
12.10.2009, 19:16
общий
это ответ
Здравствуйте, Dflame.
Данное выражение составлено из переменных предикатов A(x) и B(y, z) с помощью логической операции следования и кванторов общности и существования. Это выражение обращается в конкретный предикат при подстановке вместо переменных конкретных предикатов. Следовательно, данное выражение является формулой логики предикатов.
Переменные x и y, указанные при кванторах, являются связанными. Переменная z является свободной.
С уважением.
Данное выражение составлено из переменных предикатов A(x) и B(y, z) с помощью логической операции следования и кванторов общности и существования. Это выражение обращается в конкретный предикат при подстановке вместо переменных конкретных предикатов. Следовательно, данное выражение является формулой логики предикатов.
Переменные x и y, указанные при кванторах, являются связанными. Переменная z является свободной.
С уважением.
5
Об авторе:
Facta loquuntur.
Facta loquuntur.
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