#16330 ⟨a, b | aab=bb, bbba=ab⟩

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Quick links

  1. Properties
  2. Rewriting system
  3. Isomorphic instances
  4. 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. b4 ⇒ b2 [9]
2. ab ⇒ b3a [2]
3. b2a2 ⇒ b3 [10]
# ab:aab=bb,bbba=ab reversed:b/a
bbbb=bb
ab=bbba
bbaa=bbb

Isomorphic instances

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

1 total

Σ#PresentationMapping
1116460⟨a, b | aba=bb, abbb=ab⟩φ(a) = a, φ(b) = b

Anti-isomorphic instances

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

2 total

Σ#PresentationMapping
1116461⟨a, b | aba=bb, abbb=ba⟩φ(a) = a, φ(b) = b
1116468⟨a, b | aba=bb, babb=ba⟩φ(a) = a, φ(b) = b