#1249 ⟨a, b | abaab=baba⟩

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Contents

  1. Properties
  2. Rewriting system
  3. Other submonoids of same group

Properties

Rewriting system

Format:
Word:
Enter a word above to compute its normal form. Tips:
  • Lowercase letters stand for generators.
  • Spaces are ignored.
  • Numbers repeat the previous letter, e.g. b90.
Strategy:
Result: 1 
1
#RuleProof
1. dc ⇒ cad [11]
2. ac2 ⇒ ca2d [12]
3. dba ⇒ cab [7]
4. acba ⇒ ca2b [9]
5. aba2d ⇒ cba [10]
6. bc ⇒ cab [13]
7. bac ⇒ cba [5]
8. aba2c ⇒ caba [8]
9. aba2b ⇒ c [2]
10. b2a ⇒ d [3]
11. (ba)2 ⇒ c [4]
# ab:abaab=baba reversed:a/dc/b abaab=c,bba=d morph:5/0,3/0
dc=cad
acc=caad
dba=cab
acba=caab
abaad=cba
bc=cab
bac=cba
abaac=caba
abaab=c
bba=d
baba=c

Other submonoids of same group

17 unique, 17 total

Σ#PresentationProperties
6107⟨a, b | aabb=ba⟩Can Inf
6121⟨a, b | baa=abb⟩Can Inf
7217⟨a, b | aabab=ba⟩Can Inf
7262⟨a, b | abab=baa⟩Can Inf
8445⟨a, b | aabaab=ba⟩Can Inf
8541⟨a, b | abaab=baa⟩Can Inf
9927⟨a, b | aabaaab=ba⟩Can Inf
9976⟨a, b | abaabab=ba⟩Can Inf
91107⟨a, b | abaaab=baa⟩Can Inf
101937⟨a, b | aabaaaab=ba⟩Can Inf
102295⟨a, b | abaaaab=baa⟩Can Inf
114063⟨a, b | aabaaaaab=ba⟩Can Inf
114242⟨a, b | abaaabaab=ba⟩Can Inf
114289⟨a, b | ababaabab=ba⟩Can Inf
114757⟨a, b | abaaaaab=baa⟩Can Inf
115349⟨a, b | ababaab=baba⟩Can Inf
115827⟨a, b | abaaab=baaba⟩Can Inf