#4957 ⟨a, b | aaaabaa=baba⟩

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 c is not injective:
- bab ⋅ c = c² and c ⋅ c = c², however bab ≠ c

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

# ab:aaaabaa=baba b/ca aaaaba=c morph:6/0
babc=cc
baba=ca
bacc=cabc
baca=caba
aaaabc=caaaba
aaaaba=c
aaaacc=cbc
aaaaca=cba