#5957 ⟨a, b, c | ab=a, cbc=ca⟩

Properties

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:
- a ⋅ b = a and a ⋅ 1 = a, however b ≠ 1

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

# abc:ab=a,cbc=ca b/acd ca=d morph:2/1
ab=a
db=d
ca=d
cbc=d
da=cbd
dc=cbd