#5436 ⟨a, b | aaaa=1, aabbbb=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. ba2 ⇒ a2b [4]
2. a4 ⇒ 1 [1]
3. b4 ⇒ a2 [3]
# ab:aaaa=1,aabbbb=1 ab - -
baa=aab
aaaa=1
bbbb=aa

Isomorphic instances

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

3 total

Σ#PresentationMapping
105446⟨a, b | aaaa=1, abbbba=1⟩φ(a) = a, φ(b) = b
105451⟨a, b | aaaa=1, baabbb=1⟩φ(a) = a, φ(b) = b
105455⟨a, b | aaaa=1, bbaabb=1⟩φ(a) = a, φ(b) = b