#1893 ⟨a, b, c | aba=cc, baa=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 b is not injective:
- b ⋅ a²b = b and b ⋅ 1 = b, however a²b ≠ 1
Not right cancellative, because right multiplication by a² is not injective:
- a²b ⋅ a² = a² and 1 ⋅ a² = a², however a²b ≠ 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

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

# abc:aba=cc,baa=1 reversed:ab/c - -
baa=1
abaca=ca
caba=abac
cc=aba
cabca=abacbaca