#2581 ⟨a, b | aaa=1, abba=bb

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. a3 ⇒ 1 [1]
2. ab2 ⇒ b2a2 [3]
# ab:aaa=1,abba=bb a/b
aaa=1
abb=bbaa

Isomorphic instances

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

3 total

Σ#PresentationMapping
108052a, b | aaa=1, aabb=bbaφ(a) = a, φ(b) = b
1122237a, b | aaa=1, aabbaa=bbφ(a) = a, φ(b) = b
1122767a, b | aaa=1, aabba=abbφ(a) = a, φ(b) = b