#7034 ⟨a, b | bb=aa, aaaaa=a⟩

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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 ⇒ b2 [1]
2. ab2 ⇒ b2a [3]
3. b4a ⇒ a [2]
4. b6 ⇒ b2 [4]
# ab:bb=aa,aaaaa=a ba
aa=bb
abb=bba
bbbba=a
bbbbbb=bb

Isomorphic instances

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

5 total

Σ#PresentationMapping
107037⟨a, b | bb=aa, aaaab=b⟩φ(a) = b, φ(b) = a
107040⟨a, b | bb=aa, aaabb=a⟩φ(a) = a, φ(b) = b
107043⟨a, b | bb=aa, aabaa=b⟩φ(a) = b, φ(b) = a
107046⟨a, b | bb=aa, aabba=a⟩φ(a) = a, φ(b) = b
107048⟨a, b | bb=aa, abaab=a⟩φ(a) = a, φ(b) = b