Объединение мса
Количество совпадающих элементов в матрицах представлено на рисунке 7.
Рисунок 7
Назначим определяющие конъюнкции алгоритмов. Данное действие представлено на рисунке 8.
R0=r1¬ r2
R1=¬r1¬r2
R2=¬r1r2
R3=r1r2
Рисунок 8
Составим определяющие функции операторов. Данное действие представлено на рисунке 9.
β01= ¬r1¬r2 V (r1¬r2)/0=(¬r1/1) ¬r2
β02=¬r1r2 V (r1¬r2)/0=¬r1r2
β03=r1r2 V (r1¬r2)/0=r1(r2/1)
β11= ¬r1¬r2 V (r1¬r2)/0=(¬r1/1) ¬r2
β12= ¬r1r2 V (r1¬r2)/0=¬r1r2
β13= r1r2 V (r1¬r2)/0= r1(r2/1)
β21= ¬r1¬r2 V (r1¬r2)/0=(¬r1/1) ¬r2
β22= ¬r1r2 V (r1¬r2)/0=¬r1r2
β23= r1r2 V (r1¬r2)/0= r1(r2/1)
β31= ¬r1¬r2 V (r1¬r2)/0=(¬r1/1) ¬r2
β32=¬r1r2 V (r1¬r2)/0=¬r1r2
β33= r1r2 V (r1¬r2)/0= r1(r2/1)
β41= ¬r1¬r2 V (r1¬r2)/0=(¬r1/1) ¬r2
β42= ¬r1r2 V (r1¬r2)/0=¬r1r2
β43= r1r2 V (r1¬r2)/0= r1(r2/1)
β51= ¬r1¬r2 V (r1¬r2)/0=(¬r1/1) ¬r2
β52= ¬r1r2 V (r1¬r2)/0=¬r1r2
β53= r1r2 V (r1¬r2)/0= r1(r2/1)
β61= ¬r1¬r2 V (r1¬r2)/0=(¬r1/1) ¬r2
β62= ¬r1r2 V (r1¬r2)/0=¬r1r2
β63= r1r2 V (r1¬r2)/0= r1(r2/1)
β71= ¬r1¬r2 V (r1¬r2)/0=(¬r1/1) ¬r2
β72= ¬r1r2 V (r1¬r2)/0=¬r1r2
β73= r1r2 V (r1¬r2)/0= r1(r2/1)
β81= ¬r1¬r2 V (r1¬r2)/0=(¬r1/1) ¬r2
β82= ¬r1r2 V (r1¬r2)/0=¬r1r2
β83= r1r2 V (r1¬r2)/0= r1(r2/1)
β 91= ¬r1¬r2 V (r1¬r2)/0=(¬r1/1) ¬r2
β92= ¬r1r2 V (r1¬r2)/0=¬r1r2
β93= r1r2 V (r1¬r2)/0= r1(r2/1)
β101= ¬r1¬r2 V (r1¬r2)/0=(¬r1/1) ¬r2
β102= ¬r1r2 V (r1¬r2)/0=¬r1r2
β103= r1r2 V (r1¬r2)/0= r1(r2/1)
Рисунок 9
Составим общую матричную схему алгоритма (Таблица 4)
(¬r1/1) ¬r2 ¬r1r2 r1(r2/1)
Таблица 4
|
A1 |
A2 |
A3 |
A4 |
A5 |
A6 |
A7 |
A8 |
A9 |
A10 |
Ak |
A0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
¬r1r2 |
r1(r2/1) |
0 |
0 |
A1 |
0 |
0 |
0 |
0 |
-P4¬r1r2 |
P4¬r1r2 |
0 |
(¬r1/1) ¬r2 |
0 |
0 |
r1(r2/1) |
A2 |
0 |
0 |
r1(r2/1) |
0 |
0 |
(¬r1/1) ¬r2 |
¬r1r2 |
0 |
0 |
0 |
0 |
A3 |
0 |
¬r1r2 |
0 |
- P2 P3 r1(r2/1) |
0 |
0 |
-p3(¬r1/1) ¬r2 v - P2 - P3 r1(r2/1) |
P2 - P6 r1(r2/1) |
p3(¬r1/1) ¬r2 |
0 |
P2 P6 r1(r2/1) |
A4 |
-P4(¬r1/1) ¬r2 |
0 |
0 |
0 |
0 |
¬r1r2 |
0 |
P4(¬r1/1) ¬r2 |
0 |
r1(r2/1) |
0 |
A5 |
0 |
0 |
0 |
P3 r1(r2/1) |
0 |
0 |
(¬r1/1) ¬r2 v - P3 r1(r2/1) |
0 |
0 |
0 |
¬r1r2 |
A6 |
0 |
r1(r2/1) |
0 |
(¬r1/1) ¬r2 |
0 |
0 |
0 |
0 |
0 |
¬r1r2 |
0 |
A7 |
P7¬r1r2 v r1(r2/1) |
0 |
0 |
0 |
-P7 -P4¬r1r2 |
-P7 P4¬r1r2 |
0 |
0 |
0 |
0 |
(¬r1/1) ¬r2 |
A8 |
0 |
0 |
(¬r1/1) ¬r2 |
0 |
r1(r2/1) |
0 |
0 |
0 |
-P5P6¬r1r2 v -P5-P6-P5P6¬r1r2 |
P5¬r1r2 v - P5 -P6 P5¬r1r2 |
0 |
A9 |
-P3r1(r2/1) |
0 |
P3P1-P2r1(r2/1) |
-P4-P5¬r1r2 v P3P1P2r1r1(r2/1) |
P6 P1(¬r1/1) ¬r2 v –P6 P1(¬r1/1) ¬r2 |
0 |
P6 –P1 –P3(¬r1/1) ¬r2 v - P6 –P1 –P3(¬r1/1) ¬r2 |
P4¬r1r2 |
P6 –P1 P3(¬r1/1) ¬r2 v -P6–P1 P3(¬r1/1) ¬r2 |
-P4P5¬r1r2 v P3-P1 r1(r2/1) |
0 |
A10 |
P7-P1¬r1r2 |
P7-P5P2(¬r1/1) ¬r2 v –P7(¬r1/1) ¬r2 |
r1(r2/1) |
P7-P5-P2(¬r1/1) ¬r2 v -P7-P4-P5¬r1r2 |
0 |
P7P1¬r1r2 |
P7P5-P3(¬r1/1) ¬r2 |
-P7P4¬r1r2 |
P7P5P3(¬r1/1) ¬r2 |
-P7-P4 P5¬r1r2 |
0 |
