#2844 ⟨a, b, c | aaa=b, bcb=c⟩

Properties

Sum of relation sides is 8
Infinite cancellative non-commutative monoid
Element a has infinite order
Submonoid of enveloping group: ⟨a, b | aaabaaab^-1⟩
- Embedding: φ(a) = a, φ(b) = aaa, φ(c) = 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

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

# abc:aaa=b,bcb=c ac/b - -
ccaaa=aaacc
cacaaa=aaacac
aaacaaa=c
caacaaa=aaacaac
b=aaa