⟨a, b | aaa=a, bbabb=a⟩

Up:

Sum of relation sides is 10

Infinite non-cancellative non-commutative monoid

Element aba has infinite order

Not left cancellative, because left multiplication by a is not injective:

Not right cancellative, because right multiplication by a is not injective:

Format:	Pretty Plain
Word:
	Enter a word above to compute its normal form. Tips: Lowercase letters stand for generators. Spaces are ignored. Numbers repeat the previous letter, e.g. `b90`.
Strategy:	Leftmost Rightmost
Result:	1 1

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

# ab:aaa=a,bbabb=a ac/b abb=c morph:3/1 cc=aa aaa=a aac=c caa=c cba=abaca cbc=aba caba=aabc cabc=aabcac bba=aca bbc=a abb=c cbb=cac

#6274 ⟨a, b | aaa=a, bbabb=a⟩