#22855 ⟨a, b | aaa=1, bbabb=abb⟩

Up:Monoids with two generators and two relations
Prev:#22851 ⟨a, b | aaa=1, babbb=bbb⟩
Next:#22856 ⟨a, b | aaa=1, bbabb=bab⟩

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. ac ⇒ c2 [7]
2. a3 ⇒ 1 [1]
3. c4 ⇒ c [9]
4. cbc3 ⇒ cb [11]
5. abc ⇒ cbc [8]
6. c3b ⇒ bc3 [12]
7. b2 ⇒ c3 [10]
# ab:aaa=1,bbabb=abb ca/b abb=c morph:3/0
ac=cc
aaa=1
cccc=c
cbccc=cb
abc=cbc
cccb=bccc
bb=ccc