#10023 ⟨a, b | aa=1, abbbba=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. b8 ⇒ b2 [6]
2. b2a ⇒ ab4 [4]
3. a2 ⇒ 1 [1]
# ab:aa=1,abbbba=bb b/a
bbbbbbbb=bb
bba=abbbb
aa=1

Isomorphic instances

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

2 total

Σ#PresentationMapping
1010302⟨a, b | aa=1, abbbb=bba⟩φ(a) = a, φ(b) = b
1010534⟨a, b | aa=1, bbbb=abba⟩φ(a) = a, φ(b) = b