#4328 ⟨a, b | abbaaaaab=bb⟩

Up:Monoids with two generators and one relation
Prev:#4327 ⟨a, b | abbaaaaab=ba⟩
Next:#4329 ⟨a, b | abbaaabba=aa⟩

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. cb2(cb)5 ⇒ b2 [9]
2. cb(bc)4b3 ⇒ b3(cb)5 [10]
3. ac ⇒ ca [4]
4. ab2 ⇒ cb2(cb)4 [8]
5. a5 ⇒ c [2]
# ab:abbaaaaab=bb reversed:cb/a aaaaa=c morph:5/1
cbbcbcbcbcbcb=bb
cbbcbcbcbcbbb=bbbcbcbcbcbcb
ac=ca
abb=cbbcbcbcbcb
aaaaa=c