#1288 ⟨a, b | aba=aab, bbb=1⟩

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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 ⇒ a2b [1]
2. b3 ⇒ 1 [2]
3. a2b2a ⇒ a3b2 [3]
# ab:aba=aab,bbb=1 ab
aba=aab
bbb=1
aabba=aaabb

Isomorphic instances

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

1 total

Σ#PresentationMapping
1123282⟨a, b | aaa=1, abba=abab⟩φ(a) = b, φ(b) = a