#5141 ⟨a, b | aabaaba=baaa⟩

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:
- d ⋅ a = ca and c ⋅ a = ca, however d ≠ 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 = aabaab
2. d = baa
Reduction order:
- Right-to-left recursive path with deg(a) = deg(c) = deg(d) = 0, a < c < d; deg(b) = 1
Certificate: derivations of all rewriting rules from the defining relations.
Morphocompletion: how the auxiliary generators were found.

# ab:aabaaba=baaa reversed:acd/b aabaab=c,baa=d morph:6/2,3/3
da=ca
dc=cc
aadd=caa
aacca=caaa
aaccc=caac
aadb=c
bc=ddb
baa=d
bac=cadb