#19614 ⟨a, b | aab=b, bbabb=ba

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. b5 ⇒ b2 [8]
2. b4a ⇒ ba [5]
3. bab ⇒ b2a [4]
4. ba2 ⇒ b4 [7]
5. a2b ⇒ b [1]
# ab:aab=b,bbabb=ba reversed:b/a
bbbbb=bb
bbbba=ba
bab=bba
baa=bbbb
aab=b

Isomorphic instances

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

1 total

Σ#PresentationMapping
1119622a, b | aab=b, bbbab=baφ(a) = a, φ(b) = b