#25246 ⟨a, b | aa=a, babbb=bba⟩

Up:Monoids with two generators and two relations
Prev:#25245 ⟨a, b | aa=a, babbb=bab⟩
Next:#25247 ⟨a, b | aa=a, babbb=bbb⟩

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. bab9 ⇒ bab3 [5]
2. b2a ⇒ bab3 [2]
3. a2 ⇒ a [1]
4. (ba)2b3 ⇒ bab6 [6]
# ab:aa=a,babbb=bba b/a
babbbbbbbbb=babbb
bba=babbb
aa=a
bababbb=babbbbbb