#3374 ⟨a, b | aaaabaabaa=a

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  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. ca2 ⇒ aca [12]
2. cac ⇒ ac2 [17]
3. a4ca ⇒ a [18]
4. a4c2 ⇒ c [19]
5. aba4c ⇒ ab [27]
6. a3b ⇒ caba10c [30]
7. acab ⇒ abac [14]
8. c2ab ⇒ a2ba3c3 [20]
9. aba2b ⇒ c [2]
# ab:aaaabaabaa=a ac/b abaab=c morph:5/0
caa=aca
cac=acc
aaaaca=a
aaaacc=c
abaaaac=ab
aaab=cabaaaaaaaaaac
acab=abac
ccab=aabaaaccc
abaab=c

Isomorphic instances

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

1 total

Σ#PresentationMapping
113441a, b | aaabaabaaa=aφ(a) = a, φ(b) = b