#13197 ⟨a, b | abb=aab, baa=bb⟩

Properties

Sum of relation sides is 11
Infinite non-cancellative non-commutative monoid
Element a has infinite order
Not left cancellative, because left multiplication by b is not injective:
- b ⋅ b = ba² and b ⋅ a² = ba², however b ≠ a²
Not right cancellative, because right multiplication by a is not injective:
- (ba)² ⋅ a = ba⁴ and ba³ ⋅ a = ba⁴, however (ba)² ≠ ba³

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

# ab:abb=aab,baa=bb a/b - -
baaaaaaaa=baaaaaa
aab=abaa
bb=baa
babaa=baaaa