PrÃklady
PrÃklady
PrÃklady
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RNDr. Peter Kaprálik, PhD.<br />
Príklady z Logických systémov<br />
yz + xy<br />
INDF 3,4 (g) = yz + xy +<br />
, INDF 5 (g) = xz + yz + yz + xz,<br />
MNDF 1 (g) = xz + xy + yz<br />
xz<br />
MNDF 2 (g) = yz + xy + xz. c) Jadro(g) = xy + xy + zu,<br />
MNDF 1,2 (g) =INDF 1,2 (g) =Jadro(g) +<br />
xzu<br />
xzu<br />
+ . d) Jadro (g) = xy + xy + zu,<br />
INDF 1,2 (g) ==Jadro(g) + zy +<br />
yzu<br />
yzu<br />
INDF 3,4 (g) =Jadro(g) + xz +<br />
xzu<br />
yzu<br />
, každá INDF je aj MNDF. e) Jadro (g) = xz + xz + yu,<br />
xyu<br />
INDF 1,2 (g) =Jadro(g) + zu +<br />
, každá INDF<br />
yzu , INDF xyu<br />
3,4(g) =Jadro(g) ++xu +<br />
yzu<br />
xyu<br />
je aj MNDF. f) Jadro (g) = xz + xz, INDF 1,2 (g) =Jadro(g) ++zu + , INDF 3,4 (g) =<br />
yzu<br />
=Jadro(g) + xu +<br />
=Jadro(g) + zu +<br />
xyu<br />
yzu<br />
xzu<br />
xyz<br />
, každá INDF je aj MNDF. g) Jadro (g) = yu + yu + xz,<br />
INDF 1,2 (g) =<br />
, INDF 1,2 (g) =Jadro(g) ++yz +<br />
xzu<br />
xyz<br />
, každá INDF je aj MNDF.<br />
h) Jadro (g) = xzu + xu, INDF 1,2,3,4 (g) =Jadro(g) + zuv +<br />
yzu +<br />
yzuv<br />
xyuv + xyzv<br />
xyz +<br />
yzuv<br />
xyzv + xyuv<br />
,<br />
INDF 5,6,7,8 (g) =Jadro(g) + xzv ++<br />
yzu +<br />
yzuv<br />
xyuv + xyzv<br />
xyz +<br />
yzuv<br />
xyzv + xyuv<br />
, 39. a) MNDF (g) = xz ++yz,<br />
MNKF (g) = (x + z)(y + z) . b) MNDF (g) = xy + xu + xz , MNKF (g) = (x + u)(x + y + z) . c)<br />
MNDF (g) = yu + xz + zu + xyz,<br />
MNKF 1,2 (g) = (x + z + u)(x + z + u)(x + y + z)<br />
(x + y + u)<br />
(y + z + u)<br />
d) MNDF (g) = xy + xzu + yzu + yzu + yzu , MNKF(g) = (x + z + u)(x + y + z + u)(y + z + u)<br />
xy + yzu + xzu<br />
yzu + xyz<br />
(y + z + u) . e) MNDF 1,2,3 (g) = xz +<br />
, MNKF (g) = (x + z)<br />
xu +<br />
xyz<br />
xzu +<br />
yzu<br />
(x + y + u)(x + y + z + u) . f) MNDF 1,2 (g) = yz + yzu + xzu +<br />
xzv<br />
xyv<br />
, MNKF(g) = (y + z + u)<br />
(y + z + v)(x + y + z)(x + z + u) . g) MNDF 1,2 (g) = u + yv + yzv +<br />
xzv<br />
xyz<br />
, MNKF(g) =<br />
= (y + z + u)(y + u + v)(x + y + u + v) . 40. MNDF(g) = xz + zuv + yuv + xyu,<br />
MNKF(g) =<br />
= (z + u)(x + u)(x + v)(y + z).<br />
20