#8088 ⟨a, b | aaa=1, babb=bba⟩

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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. b10 ⇒ b3 [4]
2. b2a ⇒ bab2 [2]
3. a3 ⇒ 1 [1]
4. (ba)3b2 ⇒ b2 [3]
# ab:aaa=1,babb=bba b/a
bbbbbbbbbb=bbb
bba=babb
aaa=1
babababb=bb

Anti-isomorphic instances

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

1 total

Σ#PresentationMapping
1122241⟨a, b | aaa=1, aabbab=bb⟩φ(a) = a, φ(b) = b