#2074 ⟨a, b | abbaaaab=bb⟩

Quick links

Presentation has sum-of-sides 10
Infinite non-cancellative non-commutative monoid
Not right cancellative, because right multiplication by b is not injective:
- ab²a⁴ ⋅ b = b² and b ⋅ b = b², however ab²a⁴ ≠ b
Enveloping group: ⟨a, b | aaaabab^-1b^-1⟩

Format:	Pretty Plain
Word to reduce:
	Tips: Lowercase letters stand for generators. Spaces are ignored. Numbers repeat the previous letter, e.g. `b90`.
Reduction strategy:	Leftmost Rightmost
Path to normal form:	1 1

Auxiliary generators:
1. c = aaaa
Reduction order:
- Right-to-left recursive path with deg(c) = deg(b) = 0, c < b; deg(a) = 1
Certificate: derivations of all rewriting rules from the defining relations.
Morphocompletion: how the auxiliary generators were found.

# ab:abbaaaab=bb reversed:cb/a aaaa=c morph:4/1
cbbcbcbcbcb=bb
cbbcbcbcbbb=bbbcbcbcbcb
ac=ca
abb=cbbcbcbcb
aaaa=c

Up:	Monoids with two generators and one relation
Prev:	#2073 ⟨a, b \| abbaaaab=ba⟩
Next:	#2075 ⟨a, b \| abbaabba=aa⟩