#4900 ⟨a, b, c | ab=a, bcccb=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 ⋅ d = a and a ⋅ 1 = a, however d ≠ 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

# abc:ab=a,bcccb=1 adbc ccc=d morph:3/0
ad=a
ab=a
bd=db
cd=dc
dbb=1
cbb=bbc
ccc=d

The mapping is from the listed presentation's alphabet to the current rewriting system's alphabet.

2 total

Σ	#	Presentation	Mapping
8	4946	⟨a, b, c \| ab=a, cbbcc=1⟩	φ(a) = a, φ(b) = b, φ(c) = c
8	4970	⟨a, b, c \| ab=a, ccbbc=1⟩	φ(a) = a, φ(b) = b, φ(c) = c