#6248 ⟨a, b | aaa=a, aabab=a

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. c2 ⇒ a2 [6]
2. a3 ⇒ a [1]
3. a2c ⇒ c [5]
4. ca2 ⇒ c [7]
5. ab ⇒ c [3]
6. cb ⇒ cac [8]
# ab:aaa=a,aabab=a ac/b ab=c morph:2/0
cc=aa
aaa=a
aac=c
caa=c
ab=c
cb=cac

Isomorphic instances

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

1 total

Σ#PresentationMapping
106541a, b | aaa=a, abab=aaφ(a) = a, φ(b) = b