#4800 ⟨a, b | abaabbab=aab⟩

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 a is not injective:
- a ⋅ ba²b²ab = a²b and a ⋅ ab = a²b, however ba²b²ab ≠ ab
Not right cancellative, because right multiplication by b is not injective:
- aba²b²a ⋅ b = a²b and a² ⋅ b = a²b, however aba²b²a ≠ a²

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

Auxiliary generators:
1. c = aab
Reduction order:
- Right-to-left recursive path with deg(b) = deg(c) = 0, b < c; deg(a) = 1
Certificate: derivations of all rewriting rules from the defining relations.

# ab:abaabbab=aab reversed:bc/a aab=c magic:0
ac=ccbab
abcbc=ccbab
aab=c
abcbab=c