#2959 ⟨a, b | aaabbaaabba=1⟩

Up:Monoids with two generators and one relation
Prev:#2958 ⟨a, b | aaabbaaabab=1⟩
Next:#2960 ⟨a, b | aaabbaaabbb=1⟩

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. cd ⇒ 1 [17]
2. dc ⇒ 1 [19]
3. bc7 ⇒ c7b [59]
4. bd ⇒ d7bc6 [60]
5. b2c ⇒ cb2 [38]
6. b16 ⇒ d7 [61]
7. a ⇒ c2b4 [48]
# ab:aaabbaaabba=1 reversed:c/d/b/a aaaa=c,bbaaabb=d magic:0
cd=1
dc=1
bccccccc=cccccccb
bd=dddddddbcccccc
bbc=cbb
bbbbbbbbbbbbbbbb=ddddddd
a=ccbbbb