#20085 ⟨a, b | aab=b, abaa=bab

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. ba4 ⇒ ba2 [6]
2. a2b ⇒ b [1]
3. b2a2 ⇒ ba2 [3]
4. bab ⇒ aba2 [2]
5. b3 ⇒ b2 [5]
# ab:aab=b,abaa=bab a/b
baaaa=baa
aab=b
bbaa=baa
bab=abaa
bbb=bb

Isomorphic instances

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

1 total

Σ#PresentationMapping
1120092a, b | aab=b, abab=baaφ(a) = a, φ(b) = b