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:

Length 2:[2/0] ab, [2/1] aa, [2/2] ba, [2/3] bb
Length 3:[3/0] aba, [3/1] abb, [3/2] bab, [3/3] aab
Length 4:[4/0] baba, [4/1] aaab, [4/2] abba, [4/3] abab
Length 5:[5/0] abbab, [5/1] babaa, [5/2] bbaba, [5/3] ababa
Length 6:[6/0] abbaba, [6/1] ababaa, [6/2] bbabaa, [6/3] aaabab

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:

Length 2:[2/0] bb, [2/1] cb, [2/2] bc, [2/3] cc
Length 3:[3/0] cbb, [3/1] bbc, [3/2] bcb, [3/3] bbb, [3/4] ccb, [3/5] cbc, [3/6] bcc
Length 4:[4/0] bbcb, [4/1] bcbb, [4/2] cbbc, [4/3] cbbb, [4/4] bbbc, [4/5] ccbb, [4/6] cbcb
Length 5:[5/0] bbcbb, [5/1] cbbcb, [5/2] cbbbc, [5/3] bbbcb, [5/4] bcbbb, [5/5] bcbbc, [5/6] ccbbc

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

Step 3

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