#7808 ⟨a, b | aaa=1, baabb=ab⟩

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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. a3 ⇒ 1 [1]
2. ba2b2 ⇒ ab [2]
3. ba(ab)2 ⇒ a2b [3]
4. b(a2b)2 ⇒ b [4]
# ab:aaa=1,baabb=ab ab
aaa=1
baabb=ab
baabab=aab
baabaab=b

Isomorphic instances

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

2 total

Σ#PresentationMapping
1121685⟨a, b | aaa=1, aabaabb=b⟩φ(a) = a, φ(b) = b
1121715⟨a, b | aaa=1, abaabab=b⟩φ(a) = a, φ(b) = b