#9749 ⟨a, b | aa=1, abbabbb=b

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. c3 ⇒ c [12]
3. c2ac ⇒ ac [11]
4. bc2 ⇒ b [13]
5. cb ⇒ abcac2 [14]
6. cab ⇒ bac [5]
7. bab ⇒ c [3]
# ab:aa=1,abbabbb=b ac/b bab=c morph:3/0
aa=1
ccc=c
ccac=ac
bcc=b
cb=abcacc
cab=bac
bab=c

Isomorphic instances

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

1 total

Σ#PresentationMapping
1010058a, b | aa=1, bbabbb=abφ(a) = a, φ(b) = b