#9256 ⟨a, b | ab=a, aaaa=aaa⟩

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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. ab ⇒ a [1]
2. a4 ⇒ a3 [2]
# ab:ab=a,aaaa=aaa ab
ab=a
aaaa=aaa

Isomorphic instances

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

7 total

Σ#PresentationMapping
1125412⟨a, b | ab=a, aaaab=aaa⟩φ(a) = a, φ(b) = b
1125420⟨a, b | ab=a, aaaba=aaa⟩φ(a) = a, φ(b) = b
1125436⟨a, b | ab=a, aabaa=aaa⟩φ(a) = a, φ(b) = b
1125468⟨a, b | ab=a, abaaa=aaa⟩φ(a) = a, φ(b) = b
1125792⟨a, b | ab=a, aaab=aaaa⟩φ(a) = a, φ(b) = b
1125793⟨a, b | ab=a, aaba=aaaa⟩φ(a) = a, φ(b) = b
1125798⟨a, b | ab=a, abaa=aaaa⟩φ(a) = a, φ(b) = b