Morphocompletion for #2831 ⟨a, b | aaaaabbabba=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. bbabbaaaaaa ⇒ 1
2. abbabb ⇒ bbabba
3. bbabbaabbaaaaa ⇒ abb
4. bbabbaaabbaaaaa ⇒ aabb
5. bbabbaaaabbaaaaa ⇒ aaabb
6. abbbbabba ⇒ bbabbaabb
7. bbabbababbaaaaaa ⇒ abbab
8. bbabbaabbbbaaaaa ⇒ abbbb
9. abbbbbbabba ⇒ bbabbaabbbb
10. abbbbbbbbabba ⇒ bbabbaabbbbbb
11. abbbbbbbbbbabba ⇒ bbabbaabbbbbbbb
12. abbbbbbbbbbbbabba ⇒ bbabbaabbbbbbbbbb
...

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] bbb, [3/2] abb, [3/3] aaa
Length 4:[4/0] bbbb, [4/1] abba, [4/2] aaaa, [4/3] bbab
Length 5:[5/0] bbbbb, [5/1] bbabb, [5/2] babba, [5/3] aaaaa
Length 6:[6/0] bbabba, [6/1] bbbbbb, [6/2] baaaaa, [6/3] abbbbb

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

Step 2

Checking up to 20 rules for overlaps.

Rewriting system is not complete: roundsLimit

#Rule
1. acc ⇒ cca
2. ccaaaaa ⇒ 1
3. ccacaaaaa ⇒ ac
4. ccaacaaaaa ⇒ aac
5. ccacacaaaaa ⇒ acac
6. ccaaacaaaaa ⇒ aaac
7. ccbacaaaaac ⇒ ccba
8. acb ⇒ ccbacaaaaa
9. acbc ⇒ ccba
10. acbcccaaaa ⇒ ccb
11. cccaaaab ⇒ bcccaaaa
12. bb ⇒ cccaaaa
13. ccbacaaaaab ⇒ cc
...

Collecting factors up to length 6, frequency 7:

Length 2:[2/0] aa, [2/1] cc, [2/2] ac, [2/3] ca, [2/4] cb, [2/5] ab, [2/6] bc
Length 3:[3/0] aaa, [3/1] cca, [3/2] caa, [3/3] aca, [3/4] aab, [3/5] acb, [3/6] ccb
Length 4:[4/0] aaaa, [4/1] caaa, [4/2] ccaa, [4/3] acaa, [4/4] aaab, [4/5] ccba, [4/6] ccac
Length 5:[5/0] aaaaa, [5/1] caaaa, [5/2] acaaa, [5/3] ccaaa, [5/4] aaaab, [5/5] ccbac, [5/6] ccaca

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

Step 3

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