#3563 ⟨a, b | aabaababaa=a

Quick links

  1. Properties
  2. Rewriting system
  3. Isomorphic instances

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. a2c2 ⇒ (ca)2 [23]
2. cac2 ⇒ a [22]
3. aba ⇒ c [2]
4. abc ⇒ cba [4]
5. cba2 ⇒ ac4ba [12]
6. cbca ⇒ c5ba [17]
7. cbac ⇒ ac4bc [18]
8. cbc2 ⇒ c5bc [20]
# ab:aabaababaa=a reversed:ac/b aba=c morph:3/0
aacc=caca
cacc=a
aba=c
abc=cba
cbaa=accccba
cbca=cccccba
cbac=accccbc
cbcc=cccccbc

Isomorphic instances

The mapping is from the listed presentation's alphabet to the current rewriting system's alphabet.

2 total

Σ#PresentationMapping
113582a, b | aababaaaba=aφ(a) = a, φ(b) = b
113715a, b | abaaabaaba=aφ(a) = a, φ(b) = b