#10287 ⟨a, b | aa=1, abbab=bab⟩

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Quick links

  1. Properties
  2. Rewriting system
  3. Anti-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 ⇒ 1 [1]
2. b2ab ⇒ (ab)2 [3]
3. b(ab)2 ⇒ bab [4]
# ab:aa=1,abbab=bab ab
aa=1
bbab=abab
babab=bab

Anti-isomorphic instances

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

1 total

Σ#PresentationMapping
1010522⟨a, b | aa=1, babb=baba⟩φ(a) = a, φ(b) = b