#896 ⟨a, b | aa=a, babb=a⟩

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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. ab6 ⇒ a [5]
2. ba ⇒ ab4 [4]
3. a2 ⇒ a [1]
# ab:aa=a,babb=a b/a
abbbbbb=a
ba=abbbb
aa=a

Isomorphic instances

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

13 total

Σ#PresentationMapping
92886⟨a, b | aa=a, baabb=a⟩φ(a) = a, φ(b) = b
93029⟨a, b | aa=a, babb=aa⟩φ(a) = a, φ(b) = b
105148⟨a, b | aab=ab, babb=a⟩φ(a) = a, φ(b) = b
108622⟨a, b | aa=a, baaabb=a⟩φ(a) = a, φ(b) = b
108895⟨a, b | aa=a, baabb=aa⟩φ(a) = a, φ(b) = b
109170⟨a, b | aa=a, babb=aaa⟩φ(a) = a, φ(b) = b
1112303⟨a, b | aaab=bb, abaa=b⟩φ(a) = b, φ(b) = a
1115431⟨a, b | aaa=aa, baabb=a⟩φ(a) = a, φ(b) = b
1115647⟨a, b | aab=ab, baabb=a⟩φ(a) = a, φ(b) = b
1124150⟨a, b | aa=a, baaaabb=a⟩φ(a) = a, φ(b) = b
1124691⟨a, b | aa=a, baaabb=aa⟩φ(a) = a, φ(b) = b
1125226⟨a, b | aa=a, baabb=aaa⟩φ(a) = a, φ(b) = b
1125700⟨a, b | aa=a, babb=aaaa⟩φ(a) = a, φ(b) = b