#4748 ⟨a, b | aabbbbba=abb⟩

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 c is not injective:
- c ⋅ cb³a = cb² and c ⋅ b² = cb², however cb³a ≠ b²

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

# ab:aabbbbba=abb reversed:ac/b abb=c magic:0
abb=c
acbbba=c
ccbbba=cbb
acbbbc=cbb
cbbbb=ccbbbc
cbbcbbba=ccbbbc
cbbcbbbc=ccbbbcbb