#16068 ⟨a, b | aaa=bb, abbb=ab⟩

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  1. Properties
  2. Rewriting system
  3. Anti-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. a7 ⇒ a4 [5]
2. ba6 ⇒ ba3 [6]
3. aba3 ⇒ ab [4]
4. a3b ⇒ ba3 [3]
5. b2 ⇒ a3 [1]
# ab:aaa=bb,abbb=ab a/b
aaaaaaa=aaaa
baaaaaa=baaa
abaaa=ab
aaab=baaa
bb=aaa

Anti-isomorphic instances

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

1 total

Σ#PresentationMapping
1116076⟨a, b | aaa=bb, babb=ba⟩φ(a) = a, φ(b) = b