#4618 ⟨a, b | aaaa=a, aabb=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. ab2 ⇒ a3 [3]
2. a4 ⇒ a [1]
# ab:aaaa=a,aabb=a ab
abb=aaa
aaaa=a

Isomorphic instances

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

3 total

Σ#PresentationMapping
1112964⟨a, b | abb=aaa, aaaa=a⟩φ(a) = a, φ(b) = b
1112970⟨a, b | abb=aaa, aabb=a⟩φ(a) = a, φ(b) = b
1112976⟨a, b | abb=aaa, abba=a⟩φ(a) = a, φ(b) = b