#19669 ⟨a, b | aba=a, ababb=aa

Quick links

  1. Properties
  2. Rewriting system
  3. Isomorphic instances
  4. Anti-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. aba ⇒ a [1]
2. ab2 ⇒ a2 [2]
# ab:aba=a,ababb=aa ab
aba=a
abb=aa

Isomorphic instances

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

2 total

Σ#PresentationMapping
1120193a, b | aba=a, aaba=abbφ(a) = a, φ(b) = b
1120238a, b | aba=a, babb=baaφ(a) = a, φ(b) = b

Anti-isomorphic instances

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

1 total

Σ#PresentationMapping
1120196a, b | aba=a, aaba=bbaφ(a) = a, φ(b) = b