#4671 ⟨a, b | aaab=a, bbab=a⟩

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Quick links

  1. Properties
  2. Rewriting system
  3. Isomorphic instances
  4. Anti-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. a7 ⇒ a [9]
2. ab ⇒ a5 [10]
3. b2a ⇒ a3 [5]
# ab:aaab=a,bbab=a a/b
aaaaaaa=a
ab=aaaaa
bba=aaa

Isomorphic instances

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

2 total

Σ#PresentationMapping
104714⟨a, b | aaba=a, bbab=a⟩φ(a) = a, φ(b) = b
1112990⟨a, b | abb=aaa, bbab=a⟩φ(a) = a, φ(b) = b

Anti-isomorphic instances

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

3 total

Σ#PresentationMapping
104710⟨a, b | aaba=a, babb=a⟩φ(a) = a, φ(b) = b
1112980⟨a, b | abb=aaa, baaa=a⟩φ(a) = a, φ(b) = b
1112986⟨a, b | abb=aaa, babb=a⟩φ(a) = a, φ(b) = b