#3969 ⟨a, b | aaabaabaa=ba⟩

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 a is not injective:
- a(a²b)²a ⋅ a = ba and b ⋅ a = ba, however a(a²b)²a ≠ b

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

# ab:aaabaabaa=ba ca/b ba=c magic:0
aaacacc=caacaca
aaacaca=c
bc=caacaca
ba=c