Table 6.

Level partition of reachability matrix.

Factor	Reachability Set	Antecedent Set	Intersection Set
${\mathrm{L}}_1=\left\{\mathrm{F}10,\mathrm{F}16,\mathrm{F}19,\mathrm{F}20,\mathrm{F}24\right\}$
F1	1, 4, 5, 8, 13, 20	1	1
F2	2, 4, 5, 8, 13, 20	2	2
F3	3, 5, 8, 13, 20	3	3
F4	4, 8, 13, 20	1, 2, 4	4
F5	5, 8, 13, 20	1, 2, 3, 5	5
F6	6, 7, 9, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21	6, 11, 21, 23	6, 21
F7	7, 10, 13, 15, 16, 17, 18, 19, 20,	6, 7, 11, 21, 23	7
F8	8, 13, 20	1, 2, 3, 4, 5, 8	8
F9	9, 14, 15, 17, 18, 19, 20	6, 9, 11, 21, 23	9
F10	10	6, 7, 10, 11, 16, 21, 23	10
F11	6, 7, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20	11	11
F12	12, 15, 17, 18, 19, 20	6, 11, 12, 21, 23	12
F13	13, 20	1, 2, 3, 4, 5, 6, 7, 8, 11, 13, 21, 23	13
F14	14, 20	6, 9, 11, 14, 21, 23	14
F15	15, 17, 18, 19 20	6, 7, 9, 11, 12, 15, 17, 18, 21, 22, 23	15, 17, 18
F16	16	6, 7, 11, 16, 21, 23	16
F17	15, 17, 18, 19, 20	6, 7, 9, 11, 12, 15, 17, 18, 21, 22, 23	15, 17, 18
F18	15, 17, 18, 19, 20	6, 7, 9, 11, 12, 15, 17, 18, 21, 22, 23	15, 17, 18
F19	19	6, 7, 9, 11, 12, 15, 17, 18, 19, 21, 22, 23	19
F20	20	1, 2, 3, 4, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 17, 18, 20, 21, 22, 23	20
F21	6, 7, 9, 12, 13, 14, 15, 16, 17, 18, 19, 20, 23	21	21
F22	15, 17, 18, 19, 20, 22	21, 22	22
F23	6, 7, 9, 12, 13, 14, 15, 16, 17, 18, 19, 20, 23	23	23
F24	24	24	24
${\mathrm{L}}_2=\left\{\mathrm{F}13,\mathrm{F}14,\mathrm{F}15,\mathrm{F}17,\mathrm{F}18\right\}$
F1	1, 4, 8	1	1
F2	2, 4, 5, 8	2	2
F3	3, 5, 8	3	3
F4	4, 8	1, 2, 4	4
F5	5, 8	1, 2, 3, 5	5
F6	6, 7, 9, 12, 13, 14, 15, 17, 18, 21	6, 11, 21, 23	6, 21
F7	7, 13, 15, 17, 18	6, 7, 11, 21, 23	7
F8	8, 13	1, 2, 3, 4, 5, 8	8
F9	9, 14, 15, 17, 18	6, 9, 11, 21, 23	9
F11	6, 7, 9, 11, 12, 13, 14, 15, 17, 18	11	11
F12	12, 15, 17, 18	6, 11, 12, 21, 23	12
F13	13	1, 2, 3, 4, 5, 6, 7, 8, 11, 13, 21, 23	13
F14	14	6, 9, 11, 14, 21, 23	14
F15	15, 17	6, 7, 9, 11, 12, 15, 17, 18, 21, 22, 23	15, 17
F17	17, 18	6, 7, 9, 11, 12, 15, 17, 18, 21, 22, 23	17, 18
F18	15, 18	6, 7, 9, 11, 12, 15, 17, 18, 21, 22, 23	15, 18
F21	6, 7, 9, 12, 13, 14, 15, 17, 18, 23	21	21
F22	15, 17, 18, 22	21, 22	22
F23	6, 7, 9, 12, 13, 14, 15, 17, 18, 23	23	23
${\mathrm{L}}_3=\left\{\mathrm{F}7,\mathrm{F}8,\mathrm{F}9,\mathrm{F}12,\mathrm{F}22\right\}$
F1	1, 4, 8	1	1
F2	2, 4, 5, 8	2	2
F3	3, 5, 8	3	3
F4	4, 8	1, 2, 4	4
F5	5, 8	1, 2, 3, 5	5
F6	6, 7, 9, 12, 21	6, 11, 21, 23	6, 21
F7	7	6, 7, 11, 21, 23	7
F8	8	1, 2, 3, 4, 5, 8	8
F9	9	6, 9, 11, 21, 23	9
F11	6, 7, 9, 11, 12	11	11
F12	12	6, 11, 12, 21, 23	12
F21	6, 7, 9, 12, 23	21	21
F22	22	21, 22	22
F23	6, 7, 9, 12, 23	23	23
${\mathrm{L}}_4=\left\{\mathrm{F}4,\mathrm{F}5,\mathrm{F}6\right\}$
F1	1, 4	1	1
F2	2, 4, 5	2	2
F3	3, 5	3	3
F4	4	1, 2, 4	4
F5	5	1, 2, 3, 5	5
F6	6, 21	6, 11, 21, 23	6, 21
F11	6, 11	11	11
F21	6, 21	21	21
F23	6, 23	23	23
${\mathrm{L}}_5=\left\{\mathrm{F}1,\mathrm{F}2,\mathrm{F}3,\mathrm{F}11,\mathrm{F}21,\mathrm{F}23\right\}$
F1	1	1	1
F2	2	2	2
F3	3	3	3
F11	11	11	11
F21	21	21	21
F23	23	23	23