Morphocompletion for #4869 ⟨a, b | abbabaab=aba

Solved by morph:2/0,5/1. (See Morphocompletion.)

Step 1

Checking up to 20 rules for overlaps.

Rewriting system is not complete: rulesLimit

#Rule
1. abbabaab ⇒ aba
2. abaabaab ⇒ abbabaaa
3. abababaab ⇒ abaa
4. abbabbabaaa ⇒ abaaab
5. abaaabaab ⇒ abababaaa
6. abaababaab ⇒ abaaa
7. abababbabaaa ⇒ abaaaab
8. abaaaabaab ⇒ abaababaaa
9. abaaababaab ⇒ abaaaa
10. abaaabbbabaab ⇒ abaaabba
11. abaaaababaab ⇒ abaaaaa
...

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] aba, [3/1] aab, [3/2] baa, [3/3] bab
Length 4:[4/0] abaa, [4/1] baab, [4/2] baba, [4/3] baaa
Length 5:[5/0] abaab, [5/1] abaaa, [5/2] ababa, [5/3] babaa
Length 6:[6/0] babaab, [6/1] aabaab, [6/2] abaaab, [6/3] abaaaa

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. cbcac ⇒ ca
3. cccacb ⇒ cac
4. cccaccb ⇒ cbcbcccacc
5. cccacccb ⇒ cbcbcccbcccacc
6. caa ⇒ cccac
7. cbcbcccaca ⇒ cccacc
8. cbcbcccbcccaca ⇒ cccaccc
9. cbcbcccbcccbcccaca ⇒ cccacccc
10. cacac ⇒ cbcccaca
11. caccac ⇒ cccaca
12. cbcbcccacccac ⇒ cccacca
13. cbcbcccbcccacccac ⇒ cccaccca
14. cacccaca ⇒ cbcccbcccacccacc
15. caccccaca ⇒ cccbcccacccacc
16. cacbcccaca ⇒ cbcccacccacc
17. caccbcccaca ⇒ cccacccacc
18. caccbcccbcccaca ⇒ cccacccaccc
19. cacbcccacccac ⇒ cbcccacccacca
20. caccbcccacccac ⇒ cccacccacca
...

Collecting factors up to length 6, frequency 7:

Length 2:[2/0] cc, [2/1] ca, [2/2] ac, [2/3] cb, [2/4] bc, [2/5] aa
Length 3:[3/0] cac, [3/1] ccc, [3/2] cbc, [3/3] cca, [3/4] aca, [3/5] bcc, [3/6] acc
Length 4:[4/0] ccac, [4/1] ccca, [4/2] caca, [4/3] cacc, [4/4] bccc, [4/5] cbcc, [4/6] cbcb
Length 5:[5/0] cccac, [5/1] ccaca, [5/2] cbccc, [5/3] bccca, [5/4] cbcbc, [5/5] caccc, [5/6] caccb

Considering [length 5 / frequency 1] ccaca=d.

Step 3

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