#21214 ⟨a, b | aaa=1, abbbabbb=1⟩

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Contents

  1. Properties
  2. Rewriting system
  3. Isomorphic instances

Properties

Rewriting system

Format:
Word:
Enter a word above to compute its normal form. Tips:
  • Lowercase letters stand for generators.
  • Spaces are ignored.
  • Numbers repeat the previous letter, e.g. b90.
Strategy:
Result: 1 
1
#RuleProof
1. a3 ⇒ 1 [1]
2. bab3a ⇒ ab3ab [7]
3. b3aba2 ⇒ a2bab3 [4]
4. b3ab3 ⇒ a2 [3]
5. b3ab2a2 ⇒ a2b2ab3 [5]
# ab:aaa=1,abbbabbb=1 ab - -
aaa=1
babbba=abbbab
bbbabaa=aababbb
bbbabbb=aa
bbbabbaa=aabbabbb

Isomorphic instances

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

1 total

Σ#PresentationMapping
1121243⟨a, b | aaa=1, babbbabb=1⟩φ(a) = a, φ(b) = b