#8073 ⟨a, b | aaa=1, abbb=bab⟩

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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. b15 ⇒ b8 [4]
2. bab ⇒ ab3 [2]
3. ba2b3 ⇒ a2b7 [3]
4. a3 ⇒ 1 [1]
# ab:aaa=1,abbb=bab b/a
bbbbbbbbbbbbbbb=bbbbbbbb
bab=abbb
baabbb=aabbbbbbb
aaa=1

Isomorphic instances

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

1 total

Σ#PresentationMapping
1122763⟨a, b | aaa=1, aabab=bbb⟩φ(a) = a, φ(b) = b