#5405 ⟨a, b | aab=bb, aba=ab⟩

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  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. a2b ⇒ b2 [1]
2. aba ⇒ ab [2]
3. b2a ⇒ b2 [3]
4. ab3 ⇒ ab2 [4]
5. b4 ⇒ b3 [5]
# ab:aab=bb,aba=ab ab
aab=bb
aba=ab
bba=bb
abbb=abb
bbbb=bbb

Isomorphic instances

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

1 total

Σ#PresentationMapping
1116384⟨a, b | aba=ab, aaba=bb⟩φ(a) = a, φ(b) = b