#5902 ⟨a, b | ababba=bbaab⟩

Properties

Sum of relation sides is 11
Infinite cancellative non-commutative monoid
Element a has infinite order
Submonoid of enveloping group: ⟨a, b | aabab^-1a^-1ba^-1b^-1b^-1⟩
- Embedding: φ(a) = ab^-1, φ(b) = 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

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

# ab:ababba=bbaab a/cb bbaab=c magic:0
abac=cab
bbac=cabba
bbaac=cbaab
bbaab=c
ababba=c
ababbc=cbabba

1 unique, 1 total

Σ	#	Presentation	Properties
11	5200	⟨a, b \| aababba=baab⟩	Can Inf