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  1. 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 P-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

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