Morphocompletion for #5015 ⟨a, b | aaabaaa=abab

Solved by morph:6/0. (See Morphocompletion.)

Step 1

Checking up to 20 rules for overlaps.

Rewriting system is not complete: rulesLimit

#Rule
1. aaababab ⇒ ababbaaa
2. aaabaaa ⇒ abab
3. aaabaabab ⇒ abababaaa
4. ababaababab ⇒ ababbabbaaa
5. ababaabaaa ⇒ ababbab
6. ababaabaabab ⇒ ababbababaaa
7. ababbabaababab ⇒ ababbabbabbaaa
8. ababbabaabaaa ⇒ ababbabbab
9. ababbabbabaabaaa ⇒ ababbabbabbab
10. ababbaaaabaabaaa ⇒ ababbaaaabbab
...

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] bab, [3/2] aaa, [3/3] baa, [3/4] aab, [3/5] abb, [3/6] bba
Length 4:[4/0] abab, [4/1] abaa, [4/2] aaba, [4/3] baaa, [4/4] baab, [4/5] baba, [4/6] aaab
Length 5:[5/0] abaaa, [5/1] abaab, [5/2] ababa, [5/3] baaba, [5/4] aabaa, [5/5] ababb, [5/6] aaaba
Length 6:[6/0] aabaaa, [6/1] abaaba, [6/2] ababba, [6/3] ababaa, [6/4] ababab, [6/5] baabab, [6/6] babaab
Length 7:[7/0] baabaaa, [7/1] aababab, [7/2] abaabab, [7/3] ababaab, [7/4] babaaba, [7/5] ababbab, [7/6] abaabaa

Considering [length 6 / frequency 0] aabaaa=c.

Step 2

Rewriting system is complete. See a, b | aaabaaa=abab.