#3148 ⟨a, b | aa=a, bba=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. b2a ⇒ ab2 [2]
# ab:aa=a,bba=abb ab
aa=a
bba=abb

Isomorphic instances

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

3 total

Σ#PresentationMapping
109140a, b | aa=a, aabb=bbaφ(a) = a, φ(b) = b
1125144a, b | aa=a, aaabb=bbaφ(a) = a, φ(b) = b
1125711a, b | aa=a, bbaa=aabbφ(a) = a, φ(b) = b