#3147 ⟨a, b | aa=a, bab=abb

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. a2 ⇒ a [1]
2. bab ⇒ ab2 [2]
# ab:aa=a,bab=abb ab
aa=a
bab=abb

Isomorphic instances

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

5 total

Σ#PresentationMapping
109139a, b | aa=a, aabb=babφ(a) = a, φ(b) = b
109167a, b | aa=a, baab=abbφ(a) = a, φ(b) = b
1125143a, b | aa=a, aaabb=babφ(a) = a, φ(b) = b
1125223a, b | aa=a, baaab=abbφ(a) = a, φ(b) = b
1125693a, b | aa=a, baab=aabbφ(a) = a, φ(b) = b