#19725 ⟨a, b | aba=b, aabab=bb⟩

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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 ⇒ b [1]
2. ab2 ⇒ b2 [2]
3. b2a ⇒ b2 [3]
# ab:aba=b,aabab=bb ab
aba=b
abb=bb
bba=bb

Isomorphic instances

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

3 total

Σ#PresentationMapping
1119740⟨a, b | aba=b, ababa=bb⟩φ(a) = a, φ(b) = b
1120281⟨a, b | aba=b, abab=abb⟩φ(a) = a, φ(b) = b
1120284⟨a, b | aba=b, abab=bba⟩φ(a) = a, φ(b) = b