#5570 ⟨a, b, c | ab=c, bacc=c⟩

Properties

Sum of relation sides is 8
Infinite non-cancellative non-commutative monoid
Element a has infinite order
Not right cancellative, because right multiplication by c is not injective:
- bd ⋅ c = c and 1 ⋅ c = c, however bd ≠ 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 = ac
Reduction order:
- Right-to-left recursive path with deg(b) = deg(c) = deg(d) = 0, b < c < d; deg(a) = 1
Certificate: derivations of all rewriting rules from the defining relations.
Morphocompletion: how the auxiliary generators were found.

# abc:ab=c,bacc=c reversed:bcd/a ac=d morph:2/0
bdc=c
cdc=d
bdd=d
cdd=ddc
ab=c
ac=d
ad=ddc