#5419 ⟨a, b | aba=ab, bab=ab⟩

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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. aba ⇒ ab [1]
2. ab2 ⇒ a2b [3]
3. bab ⇒ ab [2]
4. a3b ⇒ a2b [4]
5. ba2b ⇒ a2b [5]
# ab:aba=ab,bab=ab ab
aba=ab
abb=aab
bab=ab
aaab=aab
baab=aab

Isomorphic instances

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

2 total

Σ#PresentationMapping
1116414⟨a, b | aba=ab, baba=ab⟩φ(a) = a, φ(b) = b
1116539⟨a, b | aba=ab, bab=aba⟩φ(a) = a, φ(b) = b