#4717 ⟨a, b | aabbbaab=aba⟩

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 ⋅ ab³a²b = aba and a ⋅ ba = aba, however ab³a²b ≠ ba

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 = ab
2. d = acbb
Reduction order:
- Left-to-right recursive path with deg(b) = deg(d) = deg(c) = 0, b < d < c; deg(a) = 1
Certificate: derivations of all rewriting rules from the defining relations.
Morphocompletion: how the auxiliary generators were found.

# ab:aabbbaab=aba bdc/a ab=c,acbb=d morph:2/0,4/0
ccb=dd
ab=c
acbb=d
dacb=cc
daddb=cd
ca=dac