#3897 ⟨a, b | aaaabaaaa=ab⟩

Up:Monoids with two generators and one relation
Prev:#3895 ⟨a, b | aaaaabbbb=bb⟩
Next:#3898 ⟨a, b | aaaabaaaa=bb⟩

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. c2a4 ⇒ a3cac [6]
2. caca4 ⇒ a(a2c)2 [7]
3. a3ca4 ⇒ c [4]
4. ca2ca4 ⇒ (a3c)2 [8]
5. ab ⇒ c [2]
6. cb ⇒ (a3c)2 [5]
# ab:aaaabaaaa=ab ac/b ab=c magic:0
ccaaaa=aaacac
cacaaaa=aaacaac
aaacaaaa=c
caacaaaa=aaacaaac
ab=c
cb=aaacaaac