#5126 ⟨a, b | aabaaab=baab⟩

Properties

Sum of relation sides is 11
Infinite non-cancellative non-commutative monoid
Element a has infinite order
Not right cancellative, because right multiplication by b is not injective:
- a²ba³ ⋅ b = ba²b and ba² ⋅ b = ba²b, however a²ba³ ≠ ba²

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

# ab:aabaaab=baab a/cb baab=c magic:0
bc=caaab
baac=caab
aabac=caaab
aabaaac=caab
baab=c
aabaaab=c