#13232 ⟨a, b | baa=abb, bab=aa⟩

Properties

Sum of relation sides is 11
Infinite non-cancellative non-commutative monoid
Element b has infinite order
Not left cancellative, because left multiplication by b is not injective:
- b ⋅ (ba)² = b⁵ab and b ⋅ b⁴ab = b⁵ab, however (ba)² ≠ b⁴ab
Not right cancellative, because right multiplication by b is not injective:
- ab ⋅ b = b²ab and b²a ⋅ b = b²ab, however ab ≠ b²a

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:baa=abb,bab=aa reversed:b/a - -
bbbbbbab=bbbbbab
abb=bbab
aa=bab
bbaba=bbbbbab
abab=baba