#4737 ⟨a, b | aabb=a, baba=a⟩

Properties

Sum of relation sides is 10
Infinite non-cancellative non-commutative monoid
Element a has infinite order
Not right cancellative, because right multiplication by a is not injective:
- b²a ⋅ a = a and 1 ⋅ a = a, however b²a ≠ 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

# ab:aabb=a,baba=a ba - -
abb=bba
aba=baa
bbaa=a

The mapping is from the listed presentation's alphabet to the current rewriting system's alphabet.

1 total

Σ	#	Presentation	Mapping
11	13053	⟨a, b \| baa=aab, abab=b⟩	φ(a) = b, φ(b) = a