#6688 ⟨a, b, c | aa=1, abcbc=b⟩

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Contents

  1. Properties
  2. Rewriting system
  3. Isomorphic instances

Properties

Rewriting system

Format:
Word:
Enter a word above to compute its normal form. Tips:
  • Lowercase letters stand for generators.
  • Spaces are ignored.
  • Numbers repeat the previous letter, e.g. b90.
Strategy:
Result: 1 
1
#RuleProof
1. a2 ⇒ 1 [1]
2. b2c ⇒ abcab [4]
3. (bc)2 ⇒ ab [3]
# abc:aa=1,abcbc=b ab/c - -
aa=1
bbc=abcab
bcbc=ab

Isomorphic instances

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

1 total

Σ#PresentationMapping
87266⟨a, b, c | aa=1, bcbc=ab⟩φ(a) = a, φ(b) = b, φ(c) = c