#4180 ⟨a, b | baa=abb, bba=a⟩

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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. ab4 ⇒ ab2 [5]
2. b2a ⇒ a [2]
3. a2 ⇒ bab2 [3]
4. abab2 ⇒ ab2 [4]
5. a(ba)2 ⇒ aba [6]
# ab:baa=abb,bba=a b/a
abbbb=abb
bba=a
aa=babb
ababb=abb
ababa=aba

Isomorphic instances

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

1 total

Σ#PresentationMapping
106681⟨a, b | aab=b, abaa=bb⟩φ(a) = b, φ(b) = a