Morphocompletion for #709 ⟨a, b | abaabbbba=1⟩

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

Step 1

Checking up to 20 rules for overlaps.

Rewriting system is not complete: rulesLimit

#Rule
1. bbbaa ⇒ aabbb
2. baabbbba ⇒ abaabbbb
3. aabaabbbb ⇒ 1
4. baabaabb ⇒ aabaabbb
5. bbaabaa ⇒ aabaabb
6. baabaaba ⇒ aabaabba
7. aabaaaabbbbbb ⇒ bbaa
8. aabaabbaabbb ⇒ baa
9. baabaaaabbb ⇒ aa
10. baabaabaa ⇒ aabaabbaa
11. aabaababaabbbb ⇒ baaba
12. baabaaaaaabbb ⇒ aaaa
...

Collecting factors up to length 7, frequency 4:

Length 2:[2/0] aa, [2/1] bb, [2/2] ba, [2/3] ab
Length 3:[3/0] baa, [3/1] aab, [3/2] bbb, [3/3] aba
Length 4:[4/0] baab, [4/1] aaba, [4/2] abaa, [4/3] aabb
Length 5:[5/0] aabaa, [5/1] baaba, [5/2] aabbb, [5/3] baabb
Length 6:[6/0] baabaa, [6/1] aabaab, [6/2] baabbb, [6/3] aabbbb

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

Step 2

Checking up to 20 rules for overlaps.

Rewriting system is not complete: roundsLimit

#Rule
1. bbbc ⇒ cbbb
2. bbbbc ⇒ bcbbb
3. cbcbbbb ⇒ 1
4. bcbc ⇒ cbcb
5. bcbbbbc ⇒ 1
6. ac ⇒ ca
7. abcbbbb ⇒ bcbbbba
8. aa ⇒ c
9. cbccbbbbbb ⇒ bbc
10. cbcbcbbb ⇒ c
11. cbcbbcbbb ⇒ bc
12. bccbcb ⇒ cbcbbc
13. abcbcbbb ⇒ a
14. cbcbbccbbb ⇒ bcc
15. bcccbcb ⇒ cbcbbcc
...

Collecting factors up to length 6, frequency 7:

Length 2:[2/0] bb, [2/1] bc, [2/2] cb, [2/3] cc, [2/4] ab, [2/5] ca, [2/6] ba
Length 3:[3/0] bbb, [3/1] bcb, [3/2] cbc, [3/3] cbb, [3/4] bbc, [3/5] bcc, [3/6] abc
Length 4:[4/0] cbcb, [4/1] cbbb, [4/2] bbbb, [4/3] bcbb, [4/4] abcb, [4/5] bccb, [4/6] bbbc
Length 5:[5/0] bcbbb, [5/1] cbcbb, [5/2] cbbbb, [5/3] ccbcb, [5/4] ccbbb, [5/5] bbbbb, [5/6] abcbc

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

Step 3

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