#1657 ⟨a, b | aab=bb, bbb=b

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 ⇒ b2 [1]
2. b3 ⇒ b [2]
# ab:aab=bb,bbb=b ab
aab=bb
bbb=b

Isomorphic instances

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

3 total

Σ#PresentationMapping
105197a, b | aab=bb, aabb=bφ(a) = a, φ(b) = b
105209a, b | aab=bb, baab=bφ(a) = a, φ(b) = b
1115740a, b | aab=bb, aaaab=bφ(a) = a, φ(b) = b