#8884 ⟨a, b | aa=a, abbab=bb⟩

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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. a2 ⇒ a [1]
2. ab2 ⇒ b2 [3]
3. b2ab ⇒ b2 [4]
4. b4 ⇒ b3 [5]
# ab:aa=a,abbab=bb ab
aa=a
abb=bb
bbab=bb
bbbb=bbb

Isomorphic instances

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

2 total

Σ#PresentationMapping
1124637⟨a, b | aa=a, aabbab=bb⟩φ(a) = a, φ(b) = b
1124672⟨a, b | aa=a, abbaab=bb⟩φ(a) = a, φ(b) = b