#12236 ⟨a, b | aaab=aa, bbab=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. a5 ⇒ a2 [5]
2. a2b ⇒ a4 [8]
3. b2a2 ⇒ aba3 [11]
4. (ab)2 ⇒ aba3 [12]
5. b2ab ⇒ a [2]
# ab:aaab=aa,bbab=a a/b
aaaaa=aa
aab=aaaa
bbaa=abaaa
abab=abaaa
bbab=a

Isomorphic instances

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

1 total

Σ#PresentationMapping
1112346⟨a, b | aaba=aa, bbab=a⟩φ(a) = a, φ(b) = b