#1272 ⟨a, b | abbba=baab⟩

Properties

Sum of relation sides is 9
Infinite cancellative non-commutative monoid
Element a has infinite order
Submonoid of enveloping group: ⟨a, b | aaaba^-1b^-1b^-1a^-1b⟩
- Embedding: φ(a) = b, φ(b) = a

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

# ab:abbba=baab bc/a baab=c magic:0
cab=abbc
cbba=bac
cbbba=abbbc
abbba=c
baab=c
caab=baac

2 unique, 2 total

Σ	#	Presentation	Properties
11	5404	⟨a, b \| abbabba=baab⟩	Can Inf
11	5941	⟨a, b \| abbbba=babab⟩	Can Inf