#753 ⟨a, b | aaa=1, babb=b⟩

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Quick links

  1. Properties
  2. Rewriting system
  3. Isomorphic instances
  4. 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. bab2 ⇒ b [2]
# ab:aaa=1,babb=b ab
aaa=1
babb=b

Isomorphic instances

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

5 total

Σ#PresentationMapping
107790⟨a, b | aaa=1, ababb=ab⟩φ(a) = a, φ(b) = b
1121671⟨a, b | aaa=1, aaababb=b⟩φ(a) = a, φ(b) = b
1121755⟨a, b | aaa=1, baaaabb=b⟩φ(a) = a, φ(b) = b
1123305⟨a, b | aaa=1, babb=aaab⟩φ(a) = a, φ(b) = b
1123312⟨a, b | aaa=1, babb=baaa⟩φ(a) = a, φ(b) = b

Anti-isomorphic instances

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

3 total

Σ#PresentationMapping
107794⟨a, b | aaa=1, abbab=ab⟩φ(a) = a, φ(b) = b
1121675⟨a, b | aaa=1, aaabbab=b⟩φ(a) = a, φ(b) = b
1121757⟨a, b | aaa=1, baaabab=b⟩φ(a) = a, φ(b) = b