#10004 ⟨a, b | aa=1, ababba=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. a2 ⇒ 1 [1]
2. b2a ⇒ b3 [14]
3. ab2 ⇒ b3 [17]
4. b4 ⇒ b2 [15]
# ab:aa=1,ababba=bb ba
aa=1
bba=bbb
abb=bbb
bbbb=bb

Isomorphic instances

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

3 total

Σ#PresentationMapping
1010280⟨a, b | aa=1, ababb=bba⟩φ(a) = a, φ(b) = b
1010288⟨a, b | aa=1, abbab=bba⟩φ(a) = a, φ(b) = b
1010518⟨a, b | aa=1, babb=abba⟩φ(a) = a, φ(b) = b