#27673 ⟨a, b | aa=1, abbabb=bbb⟩

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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. b7 ⇒ b4 [5]
2. bab3 ⇒ ab5 [4]
3. b2ab2 ⇒ ab3 [3]
4. a2 ⇒ 1 [1]
# ab:aa=1,abbabb=bbb b/a
bbbbbbb=bbbb
babbb=abbbbb
bbabb=abbb
aa=1

Isomorphic instances

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

1 total

Σ#PresentationMapping
1128282⟨a, b | aa=1, bbabb=abbb⟩φ(a) = a, φ(b) = b