#27687 ⟨a, b | aa=1, abbbba=bbb⟩

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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. b10 ⇒ b3 [10]
2. bab3 ⇒ ab9 [9]
3. b3a ⇒ ab4 [4]
4. a2 ⇒ 1 [1]
# ab:aa=1,abbbba=bbb b/a
bbbbbbbbbb=bbb
babbb=abbbbbbbbb
bbba=abbbb
aa=1

Isomorphic instances

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

2 total

Σ#PresentationMapping
1128207⟨a, b | aa=1, abbba=bbbb⟩φ(a) = a, φ(b) = b
1128222⟨a, b | aa=1, abbbb=bbba⟩φ(a) = a, φ(b) = b