#6342 ⟨a, b | aab=a, abbaa=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. ab ⇒ ac [5]
2. ca ⇒ ac [7]
3. cb ⇒ c2 [10]
4. a2c ⇒ a [8]
5. ac2 ⇒ c [9]
# ab:aab=a,abbaa=a acb abb=c morph:3/1
ab=ac
ca=ac
cb=cc
aac=a
acc=c

Isomorphic instances

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

1 total

Σ#PresentationMapping
106623a, b | aab=a, abba=abφ(a) = a, φ(b) = b