#5155 ⟨a, b | aab=ab, bbba=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. ba ⇒ b [7]
2. a2b ⇒ ab [1]
3. b3 ⇒ b [6]
# ab:aab=ab,bbba=b ab
ba=b
aab=ab
bbb=b

Isomorphic instances

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

2 total

Σ#PresentationMapping
1115654⟨a, b | aab=ab, babba=b⟩φ(a) = a, φ(b) = b
1115662⟨a, b | aab=ab, bbaba=b⟩φ(a) = a, φ(b) = b