Morphocompletion for #5867 ⟨a, b | ababab=aabba

Solved by morph:2/0,4/0. (See Morphocompletion.)

Step 1

Checking up to 20 rules for overlaps.

Rewriting system is not complete: arenaTotalLimit

#Rule
1. ababab ⇒ aabba
2. abaabba ⇒ aabbaab
3. aabbaabbabab ⇒ aabbaababba
4. aabbaabbaabba ⇒ aabbaababbaab
5. aabbaababbabab ⇒ aabbaaabbaba
6. aabbaababbaabba ⇒ aabbaaabbabaab
7. aabbaabbaababba ⇒ aabbaaabbabaabb
8. aabbaababbaababba ⇒ aabbaaabbaabbaabb
9. aabbaaabbabaabbbab ⇒ aabbaabbaaabbaba
10. aabbaaabbaababbaabb ⇒ aabbaaabbabaababba
11. aabbaaabbaabbaabbba ⇒ aabbaabbaaabbabaab
...

Collecting factors up to length 7, frequency 4:

Length 2:[2/0] ab, [2/1] ba, [2/2] aa, [2/3] bb
Length 3:[3/0] aab, [3/1] bba, [3/2] abb, [3/3] baa
Length 4:[4/0] aabb, [4/1] abba, [4/2] bbaa, [4/3] baab
Length 5:[5/0] aabba, [5/1] abbaa, [5/2] bbaab, [5/3] baabb
Length 6:[6/0] aabbaa, [6/1] abbaab, [6/2] baabba, [6/3] bbaabb

Considering [length 2 / frequency 0] ab=c.

Step 2

Checking up to 20 rules for overlaps.

Rewriting system is not complete: roundsLimit

#Rule
1. ab ⇒ c
2. acbc ⇒ cccb
3. ccccba ⇒ cccbcc
4. cccbccb ⇒ ccccbc
5. ccccbcccb ⇒ cccbcccbc
6. acba ⇒ ccc
7. cccbcccba ⇒ ccccbccc
8. cccbcccbca ⇒ cccccbccc
9. cccbcccbcca ⇒ ccccccbccc
10. cccbcccbccca ⇒ cccccccbccc
11. cccbcccbcccca ⇒ ccccccccbccc
12. cccbcccbccccca ⇒ cccccccccbccc
13. cccbcccbcccccca ⇒ ccccccccccbccc
14. ccccbccccbca ⇒ cccbccccbccc
15. ccccbccccbcca ⇒ cccbcccccbccc
16. ccccbccccbccca ⇒ cccbccccccbccc
17. cccbcccbcccb ⇒ ccccbccccbc
18. cccbcccbccccb ⇒ cccccbccccbc
19. cccbcccbcccccb ⇒ ccccccbccccbc
20. cccbcccbccccccb ⇒ cccccccbccccbc
...

Collecting factors up to length 6, frequency 7:

Length 2:[2/0] cc, [2/1] cb, [2/2] bc, [2/3] ca, [2/4] ba, [2/5] ac
Length 3:[3/0] ccc, [3/1] ccb, [3/2] cbc, [3/3] bcc, [3/4] cca, [3/5] cba, [3/6] bca
Length 4:[4/0] cccb, [4/1] ccbc, [4/2] cbcc, [4/3] cccc, [4/4] bccc, [4/5] ccca, [4/6] ccba
Length 5:[5/0] cccbc, [5/1] ccbcc, [5/2] cbccc, [5/3] ccccb, [5/4] bcccb, [5/5] bcccc, [5/6] cccca

Considering [length 4 / frequency 0] cccb=d.

Step 3

Rewriting system is complete. See a, b | ababab=aabba.