#8636 ⟨a, b | aa=a, bbabbb=a⟩

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  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. ab15 ⇒ a [8]
2. b2a ⇒ ab12 [7]
3. a2 ⇒ a [1]
4. aba ⇒ ab6 [5]
# ab:aa=a,bbabbb=a b/a
abbbbbbbbbbbbbbb=a
bba=abbbbbbbbbbbb
aa=a
aba=abbbbbb

Isomorphic instances

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

2 total

Σ#PresentationMapping
1124178⟨a, b | aa=a, bbaabbb=a⟩φ(a) = a, φ(b) = b
1124717⟨a, b | aa=a, bbabbb=aa⟩φ(a) = a, φ(b) = b