#2384 ⟨a, b, c | aab=a, bccb=1⟩

Properties

Sum of relation sides is 8
Infinite non-cancellative non-commutative monoid
Element a has infinite order
Not left cancellative, because left multiplication by a is not injective:
- a ⋅ ab = a and a ⋅ 1 = a, however ab ≠ 1

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

# abc:aab=a,bccb=1 a/dbc cc=d morph:2/0
ad=aaa
aab=a
bd=db
cd=dc
cc=d
dbb=1
cbb=bbc