#27671 ⟨a, b | aa=1, abbabb=bab⟩

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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. bab5 ⇒ bab [9]
2. b5ab ⇒ bab [7]
3. a2 ⇒ 1 [1]
4. (ab)2 ⇒ b2ab2 [3]
5. ab2ab ⇒ bab4 [10]
6. ab3ab ⇒ b3ab3 [4]
7. bab4ab ⇒ ab4ab2 [8]
# ab:aa=1,abbabb=bab b/a
babbbbb=bab
bbbbbab=bab
aa=1
abab=bbabb
abbab=babbbb
abbbab=bbbabbb
babbbbab=abbbbabb

Isomorphic instances

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

1 total

Σ#PresentationMapping
1128280⟨a, b | aa=1, bbabb=abab⟩φ(a) = a, φ(b) = b