#5667 ⟨a, b | aabaab=babba⟩

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  1. Properties
  2. Rewriting system
  3. Other submonoids of anti-isomorphic group

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. bab2c ⇒ c2ab [5]
2. babc2 ⇒ c2b2a [6]
3. bab2a ⇒ c2 [3]
4. a2b ⇒ c [2]
5. a2c2 ⇒ cab2a [4]
# ab:aabaab=babba reversed:bc/a aab=c morph:3/0
babbc=ccab
babcc=ccbba
babba=cc
aab=c
aacc=cabba

Other submonoids of anti-isomorphic group

2 unique, 2 total

Σ#PresentationDescriptionRelated
114145⟨a, b | aababbbab=ba⟩Infinite cancellative non-commutative monoid
114641⟨a, b | aababaab=bba⟩Infinite cancellative non-commutative monoid