#2496 ⟨a, b | aababa=aaab⟩

Up:Monoids with two generators and one relation
Prev:#2495 ⟨a, b | aababa=aaaa⟩
Next:#2497 ⟨a, b | aababa=aaba⟩

Quick links

  1. Properties
  2. Rewriting system

Properties

Rewriting system

Format:
Word to reduce:
Tips:
  • Lowercase letters stand for generators.
  • Spaces are ignored.
  • Numbers repeat the previous letter, e.g. b90.
Reduction strategy:
Path to normal form: 1 
1
#RuleProof
1. a2(ba)2 ⇒ a3b [1]
2. a(a2b)2 ⇒ a4b2a [2]
3. a4b2a2ba ⇒ (a3b)2 [4]
4. (a3b)2ba ⇒ a4b2a3b [3]
# ab:aababa=aaab ab
aababa=aaab
aaabaab=aaaabba
aaaabbaaba=aaabaaab
aaabaaabba=aaaabbaaab