#5313 ⟨a, b | aaa=ab, aab=ba⟩

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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. a5 ⇒ a4 [3]
2. ba ⇒ a4 [2]
3. ab ⇒ a3 [1]
# ab:aaa=ab,aab=ba a/b
aaaaa=aaaa
ba=aaaa
ab=aaa

Isomorphic instances

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

2 total

Σ#PresentationMapping
105317⟨a, b | aaa=ab, aba=ba⟩φ(a) = a, φ(b) = b
1115983⟨a, b | aaa=ab, aaaa=ba⟩φ(a) = a, φ(b) = b