#2619 ⟨a, b | abbaab=abaa⟩

Properties

Sum of relation sides is 10
Infinite non-cancellative non-commutative monoid
Element a has infinite order
Not left cancellative, because left multiplication by c is not injective:
- c ⋅ acb = cbac and c ⋅ bac = cbac, however acb ≠ bac

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

# ab:abbaab=abaa reversed:b/ca abaa=c magic:0
cacb=cbac
cbacb=cbbac
abacb=abbac
caa=abbac
cbaa=abac
cbbaab=abac
abaa=c
abbaab=c