Morphocompletion for #3069 ⟨a, b | aabababbaab=1⟩

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

Step 1

Checking up to 20 rules for overlaps.

Rewriting system is not complete: arenaTotalLimit

#Rule
1. ababbaab ⇒ aabababb
2. aabababba ⇒ abbaabaab
3. aabaabababb ⇒ 1
4. abbaabaabab ⇒ 1
5. abbaabaaabababb ⇒ baab
6. aabababbabbaab ⇒ ababbaaabababb
7. abbaabaabbaabaab ⇒ baaba
8. aabababbaaabababb ⇒ abbaab
9. aabababbababbabbaab ⇒ ababbababbaaabababb
10. aabababbababbababbabbaab ⇒ ababbababbababbaaabababb
11. aabababbababbababbababbabbaab ⇒ ababbababbababbababbaaabababb
12. aabababbababbababbababbababbabbaab ⇒ ababbababbababbababbababbaaabababb
13. aabababbababbababbababbababbababbabbaab ⇒ ababbababbababbababbababbababbaaabababb
14. aabababbababbababbababbababbababbababbabbaab ⇒ ababbababbababbababbababbababbababbaaabababb
15. aabababbababbababbababbababbababbababbababbabbaab ⇒ ababbababbababbababbababbababbababbababbaaabababb
...

Collecting factors up to length 7, frequency 4:

Length 2:[2/0] ab, [2/1] ba, [2/2] bb, [2/3] aa
Length 3:[3/0] bab, [3/1] aba, [3/2] abb, [3/3] bba
Length 4:[4/0] abab, [4/1] abba, [4/2] babb, [4/3] baba
Length 5:[5/0] babba, [5/1] ababb, [5/2] babab, [5/3] abbab
Length 6:[6/0] bababb, [6/1] ababba, [6/2] babbab, [6/3] bbabab

Considering [length 2 / frequency 2] bb=c.

Step 2

Checking up to 20 rules for overlaps.

Rewriting system is not complete: roundsLimit

#Rule
1. cb ⇒ bc
2. bb ⇒ c
3. bacaab ⇒ ababac
4. abacaab ⇒ aababac
5. acaabab ⇒ baabaac
6. acaabaab ⇒ aababaca
7. baabaab ⇒ acaaba
8. aababacaac ⇒ b
9. abababc ⇒ bacaac
10. aabababc ⇒ abacaac
11. bababac ⇒ cacaab
12. aabaababac ⇒ 1
13. abaababaca ⇒ 1
14. bacaaacaaba ⇒ ab
15. aababacacaab ⇒ abacaaababac
16. aababacabacaac ⇒ ababc
17. aababacababc ⇒ abacabacaac
18. aababacaaababac ⇒ acaab
19. aababacabacabacaac ⇒ abacababc
...

Collecting factors up to length 6, frequency 7:

Length 2:[2/0] ab, [2/1] ba, [2/2] aa, [2/3] ac, [2/4] ca, [2/5] bc
Length 3:[3/0] aba, [3/1] aab, [3/2] bac, [3/3] aca, [3/4] bab, [3/5] caa, [3/6] aac
Length 4:[4/0] aaba, [4/1] abab, [4/2] abac, [4/3] baca, [4/4] baba, [4/5] acaa, [4/6] caab
Length 5:[5/0] aabab, [5/1] babac, [5/2] ababa, [5/3] abaca, [5/4] acaab, [5/5] bacaa, [5/6] abaab

Considering [length 2 / frequency 1] ba=d.

Step 3

Rewriting system is complete. See a, b | aabababbaab=1⟩.