Morphocompletion for #2073 ⟨a, b | abbaaaab=ba⟩

Solved by morph:5/1,2/4. (See Morphocompletion.)

Step 1

Checking up to 20 rules for overlaps.

Rewriting system is not complete: arenaTotalLimit

#	Rule
1.	abbaaaab ⇒ ba
2.	babaaaab ⇒ abbaaaba
3.	abbaaaaabbaaaba ⇒ baabaaaab
4.	baabaaaabbbaaaab ⇒ abbaaaaabbaaabba
5.	babaaaaabbaaaba ⇒ abbaaabaabaaaab
6.	baaabaaaabbbaaaabaaab ⇒ abbaaaaabbaaaaabbaaba
7.	abbaaaaabbaaaaabbaaabba ⇒ baaabaaaabbbaaaab
8.	baaabaaaabbbaaaabbbaaaab ⇒ abbaaaaabbaaaaabbaaabbba
9.	baabaaaabbbaaaaabbaaaba ⇒ abbaaaaabbaaabbaabaaaab
10.	babaaaaabbaaaaabbaaabba ⇒ abbaaabaaabaaaabbbaaaab
11.	abbaaaaabbaaaaabbaaaaabbaaba ⇒ baaaabaaaabbbaaaabaaab
	...

Collecting factors up to length 7, frequency 4:

Considering [length 5 / frequency 1] baaaa=c.

Checking up to 20 rules for overlaps.

Auxiliary generators:
1. c = baaaa
Reduction order:
- Left-to-right recursive path with deg(c) = 0; deg(b) = 1; deg(a) = 2

Rewriting system is not complete: wordLimit

#	Rule
1.	ca ⇒ abcc
2.	ba ⇒ abcb
3.	aaaabcbbccbcbbcbbccbccbcbbccbcbbcbbccbcbbcbbccbccbcbbccbccbcbbccbcbbcbbccbccbcbbccbcbbcbbccbcbbcbbccbccbcbbccbcbbcbbccbcbbcbbccbccbcbbccbccbcbbccbcbbcbbccbccbcbbccbcb ⇒ bc
4.	abcabcabcabcb ⇒ c
	...

Collecting factors up to length 6, frequency 7:

Length 2:	[2/0] bc, [2/1] cb, [2/2] bb, [2/3] cc, [2/4] ab, [2/5] aa, [2/6] ca
Length 3:	[3/0] bcb, [3/1] cbb, [3/2] bbc, [3/3] ccb, [3/4] cbc, [3/5] bcc, [3/6] abc
Length 4:	[4/0] bcbb, [4/1] cbbc, [4/2] bccb, [4/3] ccbc, [4/4] cbcb, [4/5] bbcc, [4/6] bbcb
Length 5:	[5/0] bcbbc, [5/1] bccbc, [5/2] ccbcb, [5/3] bbccb, [5/4] cbbcc, [5/5] cbcbb, [5/6] bbcbb

Considering [length 2 / frequency 4] ab=d.

Auxiliary generators:
1. c = baaaa
2. d = ab
Reduction order:
- Left-to-right recursive path with deg(c) = deg(d) = 0, c < d; deg(b) = 1; deg(a) = 2

Rewriting system is complete. See ⟨a, b | abbaaaab=ba⟩.