#27160 ⟨a, b | aa=1, abbbbab=bb⟩

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Quick links

  1. Properties
  2. Rewriting system
  3. Anti-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. b17 ⇒ b2 [8]
2. bab2 ⇒ ab6 [4]
3. b2ab ⇒ ab9 [10]
4. a2 ⇒ 1 [1]
# ab:aa=1,abbbbab=bb b/a
bbbbbbbbbbbbbbbbb=bb
babb=abbbbbb
bbab=abbbbbbbbb
aa=1

Anti-isomorphic instances

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

1 total

Σ#PresentationMapping
1127746⟨a, b | aa=1, babbbb=bba⟩φ(a) = a, φ(b) = b