#7816 ⟨a, b | aaa=1, babbb=ba⟩

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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. a3 ⇒ 1 [1]
2. b4 ⇒ b [4]
3. bab3 ⇒ ba [2]
4. ba2b3 ⇒ ba2 [3]
# ab:aaa=1,babbb=ba ab
aaa=1
bbbb=b
babbb=ba
baabbb=baa

Anti-isomorphic instances

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

2 total

Σ#PresentationMapping
1121703⟨a, b | aaa=1, aabbbab=b⟩φ(a) = a, φ(b) = b
1121743⟨a, b | aaa=1, abbbaab=b⟩φ(a) = a, φ(b) = b