#12699 ⟨a, b | aba=aab, aabbb=1⟩

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. a2b ⇒ aba [1]
2. abab2 ⇒ 1 [2]
3. (ab)3 ⇒ a [3]
# ab:aba=aab,aabbb=1 ba
aab=aba
ababb=1
ababab=a

Isomorphic instances

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

1 total

Σ#PresentationMapping
1112703a, b | aba=aab, ababb=1⟩φ(a) = a, φ(b) = b