#3399 ⟨a, b | aa=1, babbab=b⟩

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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. a2 ⇒ 1 [1]
2. b2ab ⇒ bab2 [3]
3. (ba)2b2 ⇒ b [4]
# ab:aa=1,babbab=b ab
aa=1
bbab=babb
bababb=b

Isomorphic instances

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

5 total

Σ#PresentationMapping
1126525⟨a, b | aa=1, aababbab=b⟩φ(a) = a, φ(b) = b
1126653⟨a, b | aa=1, baaabbab=b⟩φ(a) = a, φ(b) = b
1126673⟨a, b | aa=1, babaabab=b⟩φ(a) = a, φ(b) = b
1127119⟨a, b | aa=1, ababbab=ab⟩φ(a) = a, φ(b) = b
1127735⟨a, b | aa=1, babbab=aab⟩φ(a) = a, φ(b) = b