#18706 ⟨a, b | aaa=a, aababa=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. a3 ⇒ a [1]
2. aba2 ⇒ a2ba [4]
3. a(ba)2 ⇒ a2 [3]
# ab:aaa=a,aababa=a ab
aaa=a
abaa=aaba
ababa=aa

Isomorphic instances

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

2 total

Σ#PresentationMapping
1118720⟨a, b | aaa=a, abaaba=a⟩φ(a) = a, φ(b) = b
1119266⟨a, b | aaa=a, ababa=aa⟩φ(a) = a, φ(b) = b