Morphocompletion for #4283 ⟨a, b | ababaaaab=aa

Solved by morph:2/1,5/0,3/0. (See Morphocompletion.)

Step 1

Checking up to 20 rules for overlaps.

Rewriting system is not complete: arenaTotalLimit

#Rule
1. ababaaaaa ⇒ aaabaaaab
2. ababaaaab ⇒ aa
3. aaaaaabbabaaaaa ⇒ aaaaaabaabaaaab
4. aaaaaabbabaaaab ⇒ aaaaaaba
5. aaaaaababbabaaaab ⇒ aaaaaababa
6. aaabaaaabbabaaaab ⇒ aaabaaaaba
7. aaabaaaababbabaaaab ⇒ aaabaaaababa
...

Collecting factors up to length 7, frequency 3:

Length 2:[2/0] aa, [2/1] ab, [2/2] ba
Length 3:[3/0] aaa, [3/1] aab, [3/2] aba
Length 4:[4/0] aaaa, [4/1] aaab, [4/2] baaa
Length 5:[5/0] aaaab, [5/1] aaaaa, [5/2] baaaa
Length 6:[6/0] baaaab, [6/1] abaaaa, [6/2] babaaa

Considering [length 2 / frequency 1] ab=c.

Step 2

Checking up to 20 rules for overlaps.

Rewriting system is not complete: arenaTotalLimit

#Rule
1. ccaaac ⇒ aa
2. aacaaac ⇒ ccaaaaa
3. ccaccaaaaa ⇒ aaaaac
4. ccaaaaaaaac ⇒ aacaccaaaaa
5. ccaccaaaaccaaaaa ⇒ aaaaacacaaac
6. ccaaaaacaccaaaaa ⇒ aacaaaaaaaac
7. ab ⇒ c
8. aaaaacb ⇒ ccaccaaaac
9. aaaaaccb ⇒ ccaccccaccaaaac
10. aaaaacccb ⇒ ccaccccaccccaccaaaac
11. aaaaacacb ⇒ ccaccaccaccaaaac
12. aaaaaccacb ⇒ ccaccccaccaccaccaaaac
13. aaaaacaccb ⇒ ccaccaccaccccaccaaaac
14. aaaaacaacb ⇒ ccaccaaccaccaaaac
15. aaaaaccaacb ⇒ ccaccccaccaaccaccaaaac
16. aaaaacacacb ⇒ ccaccaccaccaccaccaaaac
17. aaaaacaaaacb ⇒ ccaccaaaaccaccaaaac
18. aaaaacacaaacb ⇒ ccaccaaaaccaaaac
...

Collecting factors up to length 6, frequency 5:

Length 2:[2/0] aa, [2/1] ac, [2/2] cb, [2/3] ca, [2/4] cc
Length 3:[3/0] aaa, [3/1] aac, [3/2] acb, [3/3] cca, [3/4] caa
Length 4:[4/0] aaaa, [4/1] aaac, [4/2] ccaa, [4/3] aacb, [4/4] caaa
Length 5:[5/0] aaaaa, [5/1] aaaac, [5/2] ccaaa, [5/3] aaaca, [5/4] caaaa

Considering [length 5 / frequency 0] aaaaa=d.

Step 3

Checking up to 20 rules for overlaps.

Rewriting system is not complete: roundsLimit

#Rule
1. ccaccd ⇒ dc
2. da ⇒ ad
3. ccaccad ⇒ dca
4. ccaaac ⇒ aa
5. ccaccaad ⇒ dcaa
6. ccaaadc ⇒ aacaccd
7. dcaaac ⇒ aaaccd
8. ccdcaaadc ⇒ aacdcaccd
9. ccaccaaad ⇒ dcaaa
10. aaaaa ⇒ d
11. aacaaac ⇒ ccd
12. aaaccdcaccd ⇒ dcaaadc
13. aacaccdcaccd ⇒ ccaaaddc
14. ccaccaaaad ⇒ dcaaaa
15. aacaaadc ⇒ ccdcaccd
16. aadcaaadc ⇒ dccdcaccd
17. db ⇒ aaaac
18. dcb ⇒ ccaccaaaac
19. dccb ⇒ ccaccccaccaaaac
20. ab ⇒ c
...

Collecting factors up to length 6, frequency 5:

Length 2:[2/0] aa, [2/1] cc, [2/2] ca, [2/3] ac, [2/4] dc
Length 3:[3/0] cca, [3/1] aaa, [3/2] aac, [3/3] aad, [3/4] caa
Length 4:[4/0] aadc, [4/1] ccac, [4/2] caaa, [4/3] aaad, [4/4] aaac
Length 5:[5/0] ccacc, [5/1] aaadc, [5/2] caccd, [5/3] caaad, [5/4] caaac

Considering [length 3 / frequency 0] cca=e.

Step 4

Rewriting system is complete. See a, b | ababaaaab=aa.