#3461 ⟨a, b | aaabababaa=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. c2bc ⇒ cbc2 [16]
2. c2ba ⇒ cbca [13]
3. abc ⇒ cba [4]
4. acbc ⇒ cbac [15]
5. aba ⇒ ca2c [24]
6. acba ⇒ cba2 [12]
7. ca3 ⇒ a3c [23]
8. cba3c ⇒ c [14]
9. c(a2c)2 ⇒ a [25]
10. cba4 ⇒ a [17]
# ab:aaabababaa=a c/ba ababa=c morph:5/0
ccbc=cbcc
ccba=cbca
abc=cba
acbc=cbac
aba=caac
acba=cbaa
caaa=aaac
cbaaac=c
caacaac=a
cbaaaa=a

Isomorphic instances

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

1 total

Σ#PresentationMapping
113707a, b | abaaaababa=aφ(a) = a, φ(b) = b