#19718 ⟨a, b | aba=b, aaabb=bb⟩

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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. aba ⇒ b [1]
2. b2a ⇒ ab2 [3]
3. a3b2 ⇒ b2 [2]
4. a2b3 ⇒ bab2 [5]
5. ba2b2 ⇒ ab3 [4]
# ab:aba=b,aaabb=bb ab
aba=b
bba=abb
aaabb=bb
aabbb=babb
baabb=abbb

Isomorphic instances

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

1 total

Σ#PresentationMapping
1119729⟨a, b | aba=b, aabba=bb⟩φ(a) = a, φ(b) = b