#27163 ⟨a, b | aa=1, abbbbba=bb⟩

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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. b23 ⇒ b2 [8]
2. bab2 ⇒ ab15 [6]
3. b2a ⇒ ab5 [4]
4. a2 ⇒ 1 [1]
# ab:aa=1,abbbbba=bb b/a
bbbbbbbbbbbbbbbbbbbbbbb=bb
babb=abbbbbbbbbbbbbbb
bba=abbbbb
aa=1

Isomorphic instances

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

2 total

Σ#PresentationMapping
1127694⟨a, b | aa=1, abbbbb=bba⟩φ(a) = a, φ(b) = b
1128291⟨a, b | aa=1, bbbbb=abba⟩φ(a) = a, φ(b) = b