#27647 ⟨a, b | aa=1, ababba=bab⟩

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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 ⇒ 1 [1]
2. (ba)2 ⇒ (ab)2 [9]
3. bab2 ⇒ bab [8]
4. b2ab ⇒ bab [10]
# ab:aa=1,ababba=bab ab
aa=1
baba=abab
babb=bab
bbab=bab

Isomorphic instances

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

3 total

Σ#PresentationMapping
1128164⟨a, b | aa=1, ababa=babb⟩φ(a) = a, φ(b) = b
1128176⟨a, b | aa=1, ababb=baba⟩φ(a) = a, φ(b) = b
1128192⟨a, b | aa=1, abbab=baba⟩φ(a) = a, φ(b) = b