Morphocompletion for #4161 ⟨a, b | aabbaaabb=ba

Solved by morph:3/1,3/0. (See Morphocompletion.)

Step 1

Checking up to 20 rules for overlaps.

Rewriting system is not complete: arenaTotalLimit

#Rule
1. aabbaba ⇒ baaaabb
2. aabbaaabb ⇒ ba
3. aabbabbaaaabb ⇒ baaaabbabbaba
4. baaaabbabbaaabb ⇒ aabbabba
5. aabbabbaabaaaabb ⇒ baaaabbabbabaaba
6. aabbaaabaabbabba ⇒ baaaaabbabbaaabb
7. baaaabbabbabaaaabb ⇒ aabbabbaaba
8. aabbabbaabaabaaaabb ⇒ baaaabbabbabaabaaba
9. baaaabbabbabaabaaaabb ⇒ aabbabbaabaaba
10. baaaabbabbabaabaabaaaabb ⇒ aabbabbaabaabaaba
...

Collecting factors up to length 7, frequency 4:

Length 2:[2/0] aa, [2/1] ba, [2/2] ab, [2/3] bb
Length 3:[3/0] abb, [3/1] aab, [3/2] baa, [3/3] aaa
Length 4:[4/0] aabb, [4/1] abba, [4/2] baaa, [4/3] aaab
Length 5:[5/0] aaabb, [5/1] aabba, [5/2] baaaa, [5/3] abbab
Length 6:[6/0] aaaabb, [6/1] baaaab, [6/2] aabbab, [6/3] bbabba

Considering [length 3 / frequency 1] aab=c.

Step 2

Checking up to 20 rules for overlaps.

Rewriting system is not complete: roundsLimit

#Rule
1. aab ⇒ c
2. cbaba ⇒ baacb
3. cbabca ⇒ bcaacb
4. cbabcca ⇒ bccaacb
5. cbabccca ⇒ bcccaacb
6. cbabcccca ⇒ bccccaacb
7. cbabccccca ⇒ bcccccaacb
8. cbabcccccca ⇒ bccccccaacb
9. cbabccccccca ⇒ bcccccccaacb
10. cbabcccccccca ⇒ bccccccccaacb
11. cbacb ⇒ ba
12. caacbab ⇒ aacbabc
13. baacbab ⇒ cbabc
14. cbaccbabc ⇒ baaacbab
15. caaacbabbacb ⇒ aacbaccbabba
16. baaacbabbacb ⇒ cbaccbabba
17. cbaccbabbaacb ⇒ baaacbabbaba
18. cbaccbabbcaacb ⇒ baaacbabbabca
19. cbaccbaccbabba ⇒ baaaacbabbacb
20. baaacbabbabaacb ⇒ cbaccbabbca
...

Collecting factors up to length 6, frequency 7:

Length 2:[2/0] cb, [2/1] ba, [2/2] cc, [2/3] ab, [2/4] ca, [2/5] ac, [2/6] aa
Length 3:[3/0] cba, [3/1] bab, [3/2] ccc, [3/3] acb, [3/4] cca, [3/5] abc, [3/6] baa
Length 4:[4/0] cbab, [4/1] cccc, [4/2] ccca, [4/3] aacb, [4/4] cbac, [4/5] babc, [4/6] abcc
Length 5:[5/0] cbabc, [5/1] cccca, [5/2] ccccc, [5/3] cbacc, [5/4] acbab, [5/5] babcc, [5/6] cbabb

Considering [length 3 / frequency 0] cba=d.

Step 3

Rewriting system is complete. See a, b | aabbaaabb=ba.