#26689 ⟨a, b | aa=1, babbbbab=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 ⇒ c [3]
3. cab ⇒ bac [5]
4. b2ac ⇒ bacb [10]
5. bcac ⇒ bac2 [12]
6. cbac ⇒ cacb [11]
7. cb3 ⇒ b3c [6]
8. cb2c ⇒ b [4]
9. c2ac ⇒ cac2 [13]
# ab:aa=1,babbbbab=b abc bab=c morph:3/0
aa=1
bab=c
cab=bac
bbac=bacb
bcac=bacc
cbac=cacb
cbbb=bbbc
cbbc=b
ccac=cacc

Isomorphic instances

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

1 total

Σ#PresentationMapping
1126701⟨a, b | aa=1, bbababbb=b⟩φ(a) = a, φ(b) = b