#5172 ⟨a, b | aababaa=baab⟩

Properties

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

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(a) = 0; deg(b) = deg(c) = 1, b < c
Certificate: derivations of all rewriting rules from the defining relations.

# ab:aababaa=baab a/bc baab=c magic:0
baab=c
aababaa=c
cb=aabac
cabaa=bc
caab=baac
cababaa=aababac

2 unique, 2 total

Σ	#	Presentation	Properties
9	1085	⟨a, b \| aabbaa=bab⟩	Can Inf
11	3744	⟨a, b \| abaabbaaba=b⟩	Can Inf