#19240 ⟨a, b | aaa=a, aaaba=ab

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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 ⇒ c [3]
2. ca ⇒ c [5]
3. cb ⇒ c2 [6]
4. a3 ⇒ a [1]
5. a2c ⇒ c [7]
# ab:aaa=a,aaaba=ab acb ab=c morph:2/1
ab=c
ca=c
cb=cc
aaa=a
aac=c

Isomorphic instances

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

2 total

Σ#PresentationMapping
1119784a, b | aaa=a, aaab=abaφ(a) = a, φ(b) = b
1119791a, b | aaa=a, aaba=aabφ(a) = a, φ(b) = b