#12400 ⟨a, b | aaba=ba, bbba=a⟩

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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. a3 ⇒ a [4]
2. a2ba ⇒ ba [1]
3. b3a ⇒ a [2]
4. a2b2a ⇒ b2a [3]
# ab:aaba=ba,bbba=a ab
aaa=a
aaba=ba
bbba=a
aabba=bba

Anti-isomorphic instances

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

1 total

Σ#PresentationMapping
1118730⟨a, b | aaa=a, abbaab=a⟩φ(a) = a, φ(b) = b