#1480 ⟨a, b | abaaaababa=1⟩

Up:Monoids with two generators and one relation
Prev:#1474 ⟨a, b | aabbbbbbba=1⟩
Next:#1481 ⟨a, b | abaaaabbab=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. c2a3 ⇒ aca2c [21]
2. c2a2c ⇒ a [16]
3. baca3 ⇒ ca2c [22]
4. baca2c ⇒ 1 [20]
5. ab ⇒ bc4ac2a2 [39]
6. cb ⇒ bc4a [40]
# ab:abaaaababa=1 ac/b aba=c morph:3/0
ccaaa=acaac
ccaac=a
bacaaa=caac
bacaac=1
ab=bccccaccaa
cb=bcccca