#5285 ⟨a, b | aba=bb, abba=b⟩

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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 ⇒ b [6]
2. ba ⇒ ab5 [9]
3. a2b ⇒ b4 [8]
# ab:aba=bb,abba=b b/a
bbbbbbb=b
ba=abbbbb
aab=bbbb

Isomorphic instances

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

3 total

Σ#PresentationMapping
1112364⟨a, b | aaba=ab, baab=a⟩φ(a) = b, φ(b) = a
1114842⟨a, b | abba=b, aabaa=b⟩φ(a) = a, φ(b) = b
1115914⟨a, b | aba=bb, aabaa=b⟩φ(a) = a, φ(b) = b