Morphocompletion for #1808 ⟨a, b | abbabaaab=b

Solved by morph:2/0,3/0. (See Morphocompletion.)

Step 1

Checking up to 20 rules for overlaps.

Rewriting system is not complete: rulesLimit

#Rule
1. aaaabbb ⇒ babaaab
2. abbabb ⇒ bbabab
3. abbabab ⇒ bbabaab
4. abbabaab ⇒ bbabaaab
5. abbabaaab ⇒ b
6. aaaabbaabbb ⇒ babababaaab
7. aaaabbaaabbb ⇒ babaababaaab
8. bbabababaaab ⇒ abbb
9. bbabaababaaab ⇒ aabbb
10. bbabaaababaaab ⇒ aaabbb
11. abbbbabab ⇒ bbabababb
12. abbbbabaab ⇒ bbabababab
13. abbbbabaaab ⇒ bbabababaab
14. aaaabbaababbb ⇒ babaaaaababbb
15. babaaababababaaab ⇒ aaaababbb
16. bbabababababaaab ⇒ abbaabbb
17. bbabababbbabaaab ⇒ abbbbabb
...

Collecting factors up to length 7, frequency 4:

Length 2:[2/0] ab, [2/1] ba, [2/2] aa, [2/3] bb
Length 3:[3/0] bab, [3/1] aab, [3/2] aba, [3/3] abb
Length 4:[4/0] baba, [4/1] aaab, [4/2] bbab, [4/3] abab
Length 5:[5/0] baaab, [5/1] bbaba, [5/2] babab, [5/3] babaa
Length 6:[6/0] abaaab, [6/1] babaaa, [6/2] bbabab, [6/3] bababa

Considering [length 2 / frequency 0] ab=c.

Step 2

Checking up to 20 rules for overlaps.

Rewriting system is not complete: roundsLimit

#Rule
1. ab ⇒ c
2. cbcaac ⇒ b
3. acbcc ⇒ cbcac
4. acbcac ⇒ b
5. accbcc ⇒ cbcccaaccac
6. accbcac ⇒ cbcccaaccaac
7. bbcac ⇒ cbcc
8. bbcaac ⇒ cbcac
9. bbcccaaccac ⇒ ccbcc
10. bbcccaaccaac ⇒ ccbcac
11. cbb ⇒ bbcccaac
12. cbcb ⇒ bbcc
13. cbccbcaccaaccac ⇒ bcbcc
14. cbccbcaccaaccaac ⇒ bcbcac
15. bbb ⇒ cbccbcaccaac
16. bbcb ⇒ cbccbcac
17. bbccbcac ⇒ cbccbcc
18. bbccbcccaaccac ⇒ cbcccbcc
19. bbcccaaccb ⇒ ccbccbcac
20. bbccbccbcac ⇒ cbccbccbcc
...

Collecting factors up to length 6, frequency 7:

Length 2:[2/0] ac, [2/1] cc, [2/2] cb, [2/3] bb, [2/4] bc, [2/5] ca, [2/6] aa
Length 3:[3/0] bbc, [3/1] cbc, [3/2] cac, [3/3] bcc, [3/4] aac, [3/5] acc, [3/6] cca
Length 4:[4/0] caac, [4/1] bbcc, [4/2] bcac, [4/3] cbcc, [4/4] ccbc, [4/5] cbca, [4/6] ccaa
Length 5:[5/0] cbcac, [5/1] ccaac, [5/2] bbccb, [5/3] bccbc, [5/4] bbccc, [5/5] caacc, [5/6] accac

Considering [length 3 / frequency 0] bbc=d.

Step 3

Rewriting system is complete. See a, b | abbabaaab=b.