#5338 ⟨a, b | aaa=bb, aab=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. a5 ⇒ a2 [4]
2. ba2 ⇒ a2 [5]
3. a2b ⇒ a2 [2]
4. b2 ⇒ a3 [1]
# ab:aaa=bb,aab=aa a/b
aaaaa=aa
baa=aa
aab=aa
bb=aaa

Isomorphic instances

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

2 total

Σ#PresentationMapping
1116088⟨a, b | aab=aa, aaab=bb⟩φ(a) = a, φ(b) = b
1116092⟨a, b | aab=aa, aaba=bb⟩φ(a) = a, φ(b) = b