Пожалуйста, решить эти примеры!!!!!НА ЗАВТРА СРОЧНО НАДО! ДАЮ 80 БАЛЛОВ!!
Answers & Comments
allangarsk
(A v ~B v C)(A v B v C)(~A v ~B v C)(~A v B v ~C)(~A v B v C)= (AA v ~BA v AC v AB v ~BB v BC v AC v ~BC v CC)(~A v ~B v C)(~A v B v ~C)(~A v B v C)= (A v ~BA v AC v AB v 0 v BC v AC v ~BC v CC)(~A v ~B v C)(~A v B v ~C)(~A v B v C)= (A(1 v ~B) v AC v AB v AC v C(~B v B) v CC)(~A v ~B v C)(~A v B v ~C)(~A v B v C)= (A(1 v C) v AB v AC v C v CC)(~A v ~B v C)(~A v B v ~C)(~A v B v C)= (A v AB v C(A v 1))(~A v ~B v C)(~A v B v ~C)(~A v B v C)= (A v C)(~A v ~B v C)(~A~A v ~AB v ~A~C v ~AB v BB v ~CB v ~AC v BC v ~CC)= (A v C)(~A v ~B v C)(~A v ~AB v ~A~C v B v ~CB v ~AC v BC v 0)= (A v C)(~A v ~B v C)(~A v ~AB v ~A~C v ~AC v B v ~CB v BC)= (A v C)(~A v ~B v C)(~A v ~A v B v B)= (A v C)(~A v ~B v C)(~A v B)= (~AA v ~BA v AC v ~AC v ~BC v CC)(~A v B)= (0 v ~BA v C v (~B v 1)C)(~A v B)= (~BA v C)(~A v B)= (~BA~A v ~AC v ~BAB v CB)=(0 v ~AC v CB v 0 )= C(~A v B)
ABC v AB~C v A~BC v A~B~C v ~ABC = AB(C v ~C) v A~B(~C v C) v ~ABC = AB*1 v A~B*1 v ~ABC =A(B v ~B) v ~ABC =A*1 v ~ABC =A v ~ABC = (A v ~A)(A v B)(A v C)=(A v B)(A v C)= AA v AB v AB v BC =A v AB v BC
Answers & Comments
ABC v AB~C v A~BC v A~B~C v ~ABC = AB(C v ~C) v A~B(~C v C) v ~ABC = AB*1 v A~B*1 v ~ABC =A(B v ~B) v ~ABC =A*1 v ~ABC =A v ~ABC = (A v ~A)(A v B)(A v C)=(A v B)(A v C)= AA v AB v AB v BC =A v AB v BC