#6077 ⟨a, b, c | ab=c, bbc=ba⟩

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 b is not injective:
- b ⋅ bcb = bc and b ⋅ c = bc, however bcb ≠ c

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

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.

# abc:ab=c,bbc=ba bc/a - -
bbcb=bc
bccb=bbcc
cbcb=cc
cccb=cbcc
ab=c
ba=bbc
ca=cbc