Morphocompletion for #4066 ⟨a, b | aabaaaaba=ab

Solved by morph:4/0. (See Morphocompletion.)

Step 1

Checking up to 20 rules for overlaps.

Rewriting system is not complete: rulesLimit

#Rule
1. aabaaab ⇒ abaaaba
2. aabaaaaba ⇒ ab
3. ababaaab ⇒ abbaaaba
4. ababaaaaba ⇒ abb
5. abaaabaaaaaba ⇒ aabaab
6. aabaabaab ⇒ abaabaaba
7. aabaaaabb ⇒ abbaaaaba
8. abbabaaab ⇒ abbbaaaba
9. abbabaaaaba ⇒ abbb
10. ababaaaabb ⇒ abbbaaaaba
11. abbbabaaaaba ⇒ abbbb
12. abbbbabaaaaba ⇒ abbbbb
...

Collecting factors up to length 8, frequency 7:

Length 2:[2/0] ab, [2/1] aa, [2/2] ba, [2/3] bb
Length 3:[3/0] aba, [3/1] aab, [3/2] aaa, [3/3] baa, [3/4] abb, [3/5] bab, [3/6] bba
Length 4:[4/0] aaba, [4/1] aaab, [4/2] abaa, [4/3] baaa, [4/4] aaaa, [4/5] baba, [4/6] abab
Length 5:[5/0] aaaba, [5/1] abaaa, [5/2] aabaa, [5/3] aaaab, [5/4] baaaa, [5/5] baaab, [5/6] babaa
Length 6:[6/0] aaaaba, [6/1] abaaab, [6/2] abaaaa, [6/3] baaaab, [6/4] babaaa, [6/5] aabaaa, [6/6] ababaa
Length 7:[7/0] baaaaba, [7/1] abaaaab, [7/2] ababaaa, [7/3] babaaaa, [7/4] aabaaaa, [7/5] abbabaa, [7/6] baaaabb

Considering [length 4 / frequency 0] aaba=c.

Step 2

Rewriting system is complete. See a, b | aabaaaaba=ab.