#6403 ⟨a, b | aab=b, ababa=b⟩

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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. a2b ⇒ b [1]
2. ba2 ⇒ b [9]
3. bab ⇒ aba [8]
4. b2a ⇒ ab2 [4]
5. b3 ⇒ b [6]
# ab:aab=b,ababa=b ab
aab=b
baa=b
bab=aba
bba=abb
bbb=b

Isomorphic instances

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

1 total

Σ#PresentationMapping
106703⟨a, b | aab=b, baba=ab⟩φ(a) = a, φ(b) = b