⟨a, b | aa=a, bbabb=abb⟩

Up:

Sum of relation sides is 11

Infinite non-cancellative non-commutative monoid

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

# ab:aa=a,bbabb=abb bc/a bab=c morph:3/0 ccb=cb ccc=cc bbcb=cb bbcc=cc abb=bcb abc=bcc acb=bcbcb acc=bcbcc bab=c cab=bac aa=a

#25251 ⟨a, b | aa=a, bbabb=abb⟩