Morphocompletion for #861 ⟨a, b | abbabaab=a⟩

Solved by morph:6/1,4/0. (See Morphocompletion.)

Step 1

Checking up to 20 rules for overlaps.

Rewriting system is not complete: rulesLimit

#Rule
1. aaabbb ⇒ abbaba
2. aabaab ⇒ ababaa
3. ababaab ⇒ abbabaa
4. abbabaab ⇒ a
5. aaababbbab ⇒ abbabababa
6. aaabbaabb ⇒ aaababbba
7. aaabbaabbb ⇒ abbabababa
8. abbabababaa ⇒ aaab
9. abbababbabaa ⇒ aaabb
10. ababaaaab ⇒ aabababaa
11. abbabaaaab ⇒ ababababaa
12. aaababbbbabaa ⇒ aaabab
13. abbababababbaba ⇒ aaababbb
...

Collecting factors up to length 7 / frequency 4:

[2/0]ab52lf:39,lp:7,ls:6,rf:29,rp:6,rs:2,lprp:2,lsrp:4,lprs:1
[2/1]aa34lf:25,lp:6,ls:3,rf:15,rp:6,rs:4,lprp:2,lsrp:3,lprs:1
[2/2]ba31lf:30,ls:1,rf:25,rs:4
[2/3]bb22lf:19,ls:3,rf:9,rs:2
[3/0]aba22lf:19,lp:2,ls:1,rf:20,rp:2,rs:3
[3/1]abb20lf:14,lp:5,ls:1,rf:7,rp:4,rs:1,lprs:1
[3/2]bab20lf:19,ls:1,rf:17,rs:1
[3/3]aab19lf:13,lp:1,ls:5,rf:6,rp:1,rs:1,lsrp:1
[4/0]baba15lf:14,ls:1,rf:14,rs:3
[4/1]aaab14lf:7,lp:5,ls:2,rf:5,rp:5,rs:1,re:1,lprp:2,a:3
[4/2]abba14lf:9,lp:5,rf:4,rp:4
[4/3]abab12lf:10,lp:2,rf:13,rp:2,rs:1,a:1
[5/0]abbab12lf:7,lp:5,rf:4,rp:4
[5/1]babaa10lf:7,ls:3,rf:4,rs:4
[5/2]bbaba9lf:8,ls:1,rf:4,rs:1
[5/3]ababa8lf:6,lp:2,rf:10,rp:2,rs:2,a:1
[6/0]abbaba13lf:7,lp:5,ls:1,rf:4,rp:4,rs:1,re:1
[6/1]ababaa6lf:3,lp:2,ls:1,rf:3,rp:1,rs:3,re:1,lprs:1,a:1
[6/2]bbabaa6lf:4,ls:2,rf:1,rs:1
[6/3]aaabab4lf:2,lp:2,rf:3,rp:3,rs:1,re:1,lprp:1,lprs:1,a:10

Considering [length 6 / frequency 1] ababaa=c.

Step 2

Checking up to 20 rules for overlaps.

Rewriting system is not complete: roundsLimit

#Rule
1. a ⇒ cbb
2. ccbbcbbb ⇒ cbbcbbbc
3. ccbbbcbbcb ⇒ cbcbbbcbbc
4. cbcbbbcbbcb ⇒ cbbcbbbcbbc
5. cbbcbbbcbbcb ⇒ cbbbcbbbcbbc
6. cbbbcbbbcbbcb ⇒ cbbbbcbbbcbbc
7. cbbbbcbbbcbbcb ⇒ c
8. ccbbbcbbcbb ⇒ cbbcbbbcbbc
9. cbcbbbcbbcbb ⇒ cbbbcbbbcbbc
10. ccbbcbbbcbbc ⇒ cbbcbbbccbbc
11. cbbcbbbccbbcb ⇒ ccbbbcbbbcbbc
12. cbbcbbbcbbbcbbbcbbc ⇒ ccbbcb
13. cbbbcbbbcbbbcbbbcbbc ⇒ cbcbbcb
14. cbbcbbbcbbbbcbbbcbbc ⇒ ccbbcbb
15. cbbbcbbbcbbccbbcb ⇒ ccbbbcbbbcbbbcbbc
16. cbbcbbbccbbbcbbbcbbc ⇒ cccbbcb
...

Collecting factors up to length 6 / frequency 7:

[2/0]bb83lf:80,ls:3,rf:52,rs:2,a:2
[2/1]cb78lf:60,lp:11,ls:7,rf:40,rp:10,rs:3,lprp:5,lsrp:4,lprs:3,a:2
[2/2]bc55lf:50,ls:5,rf:35,rs:10,lsrs:1,a:2
[2/3]cc11lf:7,lp:4,rf:7,rp:5,a:7
[3/0]cbb62lf:51,lp:9,ls:2,rf:35,rp:8,rs:2,re:1,lprp:2,lsrp:2,lprs:1,a:2
[3/1]bbc53lf:48,ls:5,rf:33,rs:10,lsrs:1,a:2
[3/2]bcb49lf:42,ls:7,rf:24,rs:3,a:2
[3/3]bbb30lf:29,ls:1,rf:17,a:2
[3/4]ccb11lf:7,lp:4,rf:6,rp:4,a:7
[3/5]cbc4lf:2,lp:2,rf:2,rp:2,a:2
[3/6]bcc3lf:3,rf:1,a:14
[4/0]bbcb47lf:40,ls:7,rf:22,rs:3,a:2
[4/1]bcbb37lf:35,ls:2,rf:21,rs:1,a:2
[4/2]cbbc32lf:22,lp:5,ls:5,rf:17,rp:4,rs:9,lsrp:1,lprs:2,lsrs:1,a:2
[4/3]cbbb32lf:27,lp:4,ls:1,rf:16,rp:3,lprp:1,a:2
[4/4]bbbc26lf:26,rf:16,rs:1,a:2
[4/5]ccbb11lf:7,lp:4,rf:6,rp:4,a:7
[4/6]cbcb4lf:2,lp:2,rf:2,rp:2,a:2
[5/0]bbcbb35lf:33,ls:2,rf:19,rs:1,a:2
[5/1]cbbcb28lf:16,lp:5,ls:7,rf:8,rp:4,rs:3,lsrp:1,lprs:2,a:2
[5/2]cbbbc27lf:24,lp:3,rf:15,rp:2,rs:1,a:2
[5/3]bbbcb24lf:24,rf:14,a:2
[5/4]bcbbb21lf:20,ls:1,rf:11,a:2
[5/5]bcbbc18lf:13,ls:5,rf:9,rs:8,a:2
[5/6]ccbbc6lf:4,lp:2,rf:4,rp:2,rs:1,lprs:1,a:14

Considering [length 4 / frequency 0] bbcb=d.

Step 3

Rewriting system is complete. See ⟨a, b | abbabaab=a⟩.