#16056 ⟨a, b | aaa=bb, aabb=aa

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. c4 ⇒ c [12]
2. ac ⇒ c3 [9]
3. ca ⇒ c3 [17]
4. a2 ⇒ c [3]
5. cbc3 ⇒ cb [14]
6. cba ⇒ cbc2 [15]
7. c3b ⇒ bc3 [11]
8. abc ⇒ c2bc [16]
9. b2 ⇒ c3 [10]
# ab:aaa=bb,aabb=aa c/a/b aa=c morph:2/0
cccc=c
ac=ccc
ca=ccc
aa=c
cbccc=cb
cba=cbcc
cccb=bccc
abc=ccbc
bb=ccc

Isomorphic instances

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

1 total

Σ#PresentationMapping
1116064a, b | aaa=bb, abba=aaφ(a) = a, φ(b) = b