#93 ⟨a, b | aa=1, bab=b⟩

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Quick links

  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. a2 ⇒ 1 [1]
2. bab ⇒ b [2]
# ab:aa=1,bab=b ab
aa=1
bab=b

Isomorphic instances

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

19 total

Σ#PresentationMapping
81107⟨a, b | aa=1, aabab=b⟩φ(a) = a, φ(b) = b
81125⟨a, b | aa=1, baaab=b⟩φ(a) = a, φ(b) = b
81184⟨a, b | aa=1, abab=ab⟩φ(a) = a, φ(b) = b
81249⟨a, b | aa=1, bab=aab⟩φ(a) = a, φ(b) = b
109667⟨a, b | aa=1, aaaabab=b⟩φ(a) = a, φ(b) = b
109689⟨a, b | aa=1, aabaaab=b⟩φ(a) = a, φ(b) = b
109695⟨a, b | aa=1, aababaa=b⟩φ(a) = a, φ(b) = b
109761⟨a, b | aa=1, baaaaab=b⟩φ(a) = a, φ(b) = b
109948⟨a, b | aa=1, aaabab=ab⟩φ(a) = a, φ(b) = b
109965⟨a, b | aa=1, aababa=ba⟩φ(a) = a, φ(b) = b
109987⟨a, b | aa=1, abaaab=ab⟩φ(a) = a, φ(b) = b
1010211⟨a, b | aa=1, aaaab=bab⟩φ(a) = a, φ(b) = b
1010234⟨a, b | aa=1, aabaa=bab⟩φ(a) = a, φ(b) = b
1010237⟨a, b | aa=1, aabab=aab⟩φ(a) = a, φ(b) = b
1010240⟨a, b | aa=1, aabab=baa⟩φ(a) = a, φ(b) = b
1010270⟨a, b | aa=1, ababa=aba⟩φ(a) = a, φ(b) = b
1010305⟨a, b | aa=1, baaab=aab⟩φ(a) = a, φ(b) = b
1010482⟨a, b | aa=1, abab=aaab⟩φ(a) = a, φ(b) = b
1010485⟨a, b | aa=1, abab=abaa⟩φ(a) = a, φ(b) = b