#14648 ⟨a, b | aaba=b, babbb=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. b10 ⇒ b [6]
2. ba ⇒ b7 [7]
3. a2b ⇒ b4 [3]
# ab:aaba=b,babbb=b b/a
bbbbbbbbbb=b
ba=bbbbbbb
aab=bbbb

Isomorphic instances

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

3 total

Σ#PresentationMapping
1114656a, b | aaba=b, bbabb=bφ(a) = a, φ(b) = b
1114660a, b | aaba=b, bbbab=bφ(a) = a, φ(b) = b
1114662a, b | aaba=b, bbbba=bφ(a) = a, φ(b) = b