#3151 ⟨a, b | aa=a, bbb=aba⟩

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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 ⇒ a [1]
2. aba ⇒ b3 [2]
3. b3a ⇒ b3 [4]
4. ab3 ⇒ b3 [3]
5. b6 ⇒ b4 [5]
# ab:aa=a,bbb=aba ba
aa=a
aba=bbb
bbba=bbb
abbb=bbb
bbbbbb=bbbb

Isomorphic instances

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

3 total

Σ#PresentationMapping
109133⟨a, b | aa=a, aaba=bbb⟩φ(a) = a, φ(b) = b
1125137⟨a, b | aa=a, aaaba=bbb⟩φ(a) = a, φ(b) = b
1125151⟨a, b | aa=a, aabaa=bbb⟩φ(a) = a, φ(b) = b