Morphocompletion for #2881 ⟨a, b | aaaabbabbaa=1⟩

Solved by morph:3/0,5/0. (See Morphocompletion.)

Step 1

Checking up to 20 rules for overlaps.

Rewriting system is not complete: rulesLimit

#Rule
1. aaaaaabbabb ⇒ 1
2. bbabba ⇒ abbabb
3. aabbabba ⇒ aaabbabb
4. aaaaabbaabbabb ⇒ bba
5. aaaaabbaaabbabb ⇒ bbaa
6. aaaaabbaaaabbabb ⇒ bbaaa
7. abbabbbba ⇒ bbaabbabb
8. bbabbbbabba ⇒ abbabbbbabb
9. aaabbabbbbbbabba ⇒ aabbaabbabbbbabb
10. bbabbabbabbbbabb ⇒ abbabbbbabbbbabb
11. bbabbaabbabbbbabb ⇒ aabbabbbbabbbbabb
...

Collecting factors up to length 7, frequency 4:

Length 2:[2/0] bb, [2/1] aa, [2/2] ba, [2/3] ab
Length 3:[3/0] bba, [3/1] abb, [3/2] aaa, [3/3] bab
Length 4:[4/0] babb, [4/1] abba, [4/2] bbab, [4/3] aaaa
Length 5:[5/0] bbabb, [5/1] babba, [5/2] abbab, [5/3] aabba
Length 6:[6/0] abbabb, [6/1] bbabba, [6/2] aabbab, [6/3] aaabba

Considering [length 3 / frequency 0] bba=c.

Step 2

Checking up to 20 rules for overlaps.

Rewriting system is not complete: roundsLimit

#Rule
1. cca ⇒ acc
2. aaaaacc ⇒ 1
3. aaaaacacc ⇒ ca
4. aaaaacaacc ⇒ caa
5. aaaaacacacc ⇒ caca
6. aaaaacaaacc ⇒ caaa
7. aaaaacaacacc ⇒ caaca
8. aaaaacacaacc ⇒ cacaa
9. aaaaacaaaacc ⇒ caaaa
10. caaaaacbc ⇒ bc
11. ba ⇒ aaaaaacbc
12. ccba ⇒ acbc
13. bcaaaacc ⇒ caaaaccb
14. bb ⇒ caaaacc
...

Collecting factors up to length 6, frequency 7:

Length 2:[2/0] aa, [2/1] cc, [2/2] ac, [2/3] ca, [2/4] bc, [2/5] ba, [2/6] cb
Length 3:[3/0] aaa, [3/1] acc, [3/2] aac, [3/3] aca, [3/4] caa, [3/5] cac, [3/6] bca
Length 4:[4/0] aaaa, [4/1] aaac, [4/2] aacc, [4/3] aaca, [4/4] cacc, [4/5] caaa, [4/6] acaa
Length 5:[5/0] aaaaa, [5/1] aaaac, [5/2] aaacc, [5/3] aaaca, [5/4] acacc, [5/5] caaaa, [5/6] aacaa

Considering [length 5 / frequency 0] aaaaa=d.

Step 3

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