#9180 ⟨a, b | aa=a, bbbb=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. b8 ⇒ b5 [5]
2. ab4 ⇒ b4 [3]
3. b4a ⇒ b4 [4]
4. a2 ⇒ a [1]
5. aba ⇒ b4 [2]
# ab:aa=a,bbbb=aba b/a
bbbbbbbb=bbbbb
abbbb=bbbb
bbbba=bbbb
aa=a
aba=bbbb

Isomorphic instances

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

1 total

Σ#PresentationMapping
1125719⟨a, b | aa=a, bbbb=aaba⟩φ(a) = a, φ(b) = b