#7773 ⟨a, b | aaa=1, aabab=bb⟩

Properties

Sum of relation sides is 10
Infinite non-cancellative non-commutative monoid
Element aba has infinite order
Not right cancellative, because right multiplication by b is not injective:
- ba ⋅ b = ab² and ab ⋅ b = ab², however ba ≠ ab

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:aaa=1,aabab=bb ab - -
aaa=1
bab=abb
baabb=aabbb

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

2 total

Σ	#	Presentation	Mapping
11	23276	⟨a, b \| aaa=1, abab=aabb⟩	φ(a) = a, φ(b) = b
11	23298	⟨a, b \| aaa=1, baab=abab⟩	φ(a) = a, φ(b) = aab