#13168 ⟨a, b | aba=aab, bab=ba⟩

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 ⋅ ab = ba and b ⋅ a = ba, however ab ≠ a

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

#	Rule	Proof
1.	bab ⇒ ba	[2]
2.	a²b ⇒ aba	[1]

# ab:aba=aab,bab=ba ba - -
bab=ba
aab=aba