#1288 ⟨a, b | aba=aab, bbb=1⟩

Properties

Sum of relation sides is 9
Infinite non-cancellative non-commutative monoid
Element a has infinite order
Not left cancellative, because left multiplication by a is not injective:
- a ⋅ ba = a²b and a ⋅ ab = a²b, 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:aba=aab,bbb=1 ab - -
aba=aab
bbb=1
aabba=aaabb

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

1 total

Σ	#	Presentation	Mapping
11	23282	⟨a, b \| aaa=1, abba=abab⟩	φ(a) = b, φ(b) = a