⟨a, b, c | ab=1, bbcc=cb⟩

Up:

Sum of relation sides is 8

Infinite non-cancellative non-commutative monoid

Element a has infinite order

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

Not right cancellative, because right multiplication by b 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. d = cb
Reduction order:
- Right-to-left recursive path with deg(d) = 0; deg(b) = deg(a) = 1, b < a; deg(c) = 2
Certificate: derivations of all rewriting rules from the defining relations.
Morphocompletion: how the auxiliary generators were found.

# abc:ab=1,bbcc=cb reversed:d/ba/c cb=d morph:2/0 ab=1 bad=d bdad=adb aadd=dadad aadb=dad baad=ad aadad=dadaad cd=dad cb=d cad=daad caad=aadc cc=aad

#7539 ⟨a, b, c | ab=1, bbcc=cb⟩