#22785 ⟨a, b | aaa=1, abaab=bab⟩

Properties

Sum of relation sides is 11
Infinite non-cancellative non-commutative monoid
Element ca² has infinite order
Not right cancellative, because right multiplication by c is not injective:
- aca ⋅ c = c² and c ⋅ c = c², however aca ≠ c

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

# ab:aaa=1,abaab=bab ac/b ab=c morph:2/0
aaa=1
aacc=cac
acac=cc
ccac=accc
b=aac