#19009 ⟨a, b | aab=b, abbaaa=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. b4 ⇒ b [8]
2. bab ⇒ ab3 [5]
3. a2b ⇒ b [1]
4. ba3 ⇒ ab2 [9]
# ab:aab=b,abbaaa=b b/a
bbbb=b
bab=abbb
aab=b
baaa=abb

Isomorphic instances

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

1 total

Σ#PresentationMapping
1119601a, b | aab=b, bbaaa=abφ(a) = a, φ(b) = b