#3501 ⟨a, b | aaabbabbaa=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. ab2a ⇒ c [2]
2. cb2a ⇒ ab2c [4]
3. ca3 ⇒ a3c [22]
4. ca2c ⇒ a [23]
5. a2b2c ⇒ ab2ca [12]
6. acb2c ⇒ ab2c2 [17]
7. cab2c ⇒ cb2ca [15]
8. c2b2c ⇒ cb2c2 [19]
# ab:aaabbabbaa=a bac abba=c morph:4/0
abba=c
cbba=abbc
caaa=aaac
caac=a
aabbc=abbca
acbbc=abbcc
cabbc=cbbca
ccbbc=cbbcc

Isomorphic instances

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

1 total

Σ#PresentationMapping
113799a, b | abbaaaabba=aφ(a) = a, φ(b) = b