#4079 ⟨a, b | abb=aba, bbbb=1⟩

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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. aba ⇒ ab2 [1]
2. b4 ⇒ 1 [2]
3. ab3a ⇒ a [3]
# ab:abb=aba,bbbb=1 ba
aba=abb
bbbb=1
abbba=a

Anti-isomorphic instances

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

1 total

Σ#PresentationMapping
105705⟨a, b | aaaa=1, aabab=b⟩φ(a) = b, φ(b) = a