#9162 ⟨a, b | aa=a, abbb=bba⟩

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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. ab9 ⇒ ab6 [4]
2. b2a ⇒ ab3 [2]
3. a2 ⇒ a [1]
4. abab3 ⇒ ab3 [3]
# ab:aa=a,abbb=bba b/a
abbbbbbbbb=abbbbbb
bba=abbb
aa=a
ababbb=abbb

Isomorphic instances

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

2 total

Σ#PresentationMapping
1125174⟨a, b | aa=a, aabbb=bba⟩φ(a) = a, φ(b) = b
1125712⟨a, b | aa=a, bbaa=abbb⟩φ(a) = a, φ(b) = b