#5414 ⟨a, b | aab=bb, bba=aa⟩

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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. a6 ⇒ a3 [5]
2. ba2 ⇒ a4 [4]
3. a2ba ⇒ a2 [2]
4. b2 ⇒ a2b [1]
# ab:aab=bb,bba=aa a/b
aaaaaa=aaa
baa=aaaa
aaba=aa
bb=aab

Isomorphic instances

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

1 total

Σ#PresentationMapping
1116281⟨a, b | aab=bb, aaba=aa⟩φ(a) = a, φ(b) = b