#10016 ⟨a, b | aa=1, abbabb=bb

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. ac ⇒ c2 [7]
2. a2 ⇒ 1 [1]
3. b2 ⇒ c2 [4]
4. c3 ⇒ c [8]
5. abc ⇒ cbc [10]
6. bc2 ⇒ c2b [6]
7. c2bc ⇒ bc [9]
# ab:aa=1,abbabb=bb cab abb=c morph:3/0
ac=cc
aa=1
bb=cc
ccc=c
abc=cbc
bcc=ccb
ccbc=bc

Isomorphic instances

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

1 total

Σ#PresentationMapping
1010335a, b | aa=1, bbabb=abbφ(a) = a, φ(b) = b