Buxoro davlat universiteti fizika-matematika fakulteti "matematika" kafedrasi

Mustaqil yechish uchun masalalar:

Quyidagi formulalarni MDNSh va MKNShga keltiring:

0. 
   α(x,y,z)=(xyz)→xz
   

0. 
   α(x,y,z)=(xy)→(zyx)
   

0. 
   α(x,y,z)=(x→y)(zx)
   

0. 
   α(x,y,z)=(xy)(zy)
   

0. 
   α(x,y,z)=((xy)z)→x((yz)(xz)
   

0. 
   α(x,y,z)=(x&yy)&(x→z)
   

0. 
   α(x,y,z)=(xz yxyz)xy
   

0. 
   α(x,y,z)=(x→z)&(y→x)
   

0. 
   α(x,y,z)=((xy)z)x)y
   

0. 
   α(x,y,z)=(((xy)z)y)&(y→z)
   

0. 
   α(x,y,z)=((xy)(yz))(x(y→z))
   

0. 
   α(x,y,z)=(xy→z)((xy)z)
   

0. 
   α(x,y,z)=(xy)(xxyyz(xyz))
   

Quyidagi rostlik jadvali berilgan mantiq funksiyalarining formulasini tiklang:

A		B			C		α1		α2	α3		α4			α5			α6		α7					α8			α9			α10			α11			α12			α13					α14					α15
0		0			0		1		1	1		0			0			1		1					0			0			0			1			0			0					0					0
0		0			1		1		0	0		1			0			1		1					1			1			1			1			1			1					1					0
0		1			0		0		1	0		0			1			1		0					1			0			0			0			1			1					1					1
0		1			1		0		0	1		1			1			0		0					0			1			0			0			0			1					1					1
1		0			0		0		0	1		1			1			0		0					1			0			1			1			0			0					0					1
1		0			1		0		1	0		0			1			0		1					0			0			1			1			1			0					0					0
1		1			0		1		0	0		1			0			0		0					1			1			1			0			1			0					1					0
1			1	1		1		1		1	0			0			1				1		0			1			0			0			0			1								0		1