Arjun Suresh (talk | contribs) (Created page with ":{| class="wikitable" |+ align="top"|Closure properties of language families |- ! Operation ! Regular ! DCFL ! CFL ! CSL ! Recursive ! RE |- |Union | {{Yes}} | {{No}} | {{Yes}...") |
(No difference)
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Operation | Regular | DCFL | CFL | CSL | Recursive | RE |
---|---|---|---|---|---|---|
Union | Yes | No | Yes | Yes | Yes | Yes |
Intersection | Yes | No | No | Yes | Yes | Yes |
Complement | Yes | Yes | No | Yes | Yes | No |
Concatenation | Yes | No | Yes | Yes | Yes | Yes |
Kleene star | Yes | No | Yes | Yes | Yes | Yes |
Homomorphism | Yes | No | Yes | No | No | Yes |
<math>\epsilon</math>-free Homomorphism | Yes | No | Yes | Yes | Yes | Yes |
Substitution (<math>\epsilon</math>-free) | Yes | No | Yes | Yes | No | Yes |
Inverse Homomorphism | Yes | Yes | Yes | Yes | Yes | Yes |
Reverse | Yes | No | Yes | Yes | Yes | Yes |
Operation | Regular | DCFL | CFL | CSL | Recursive | RE |
---|---|---|---|---|---|---|
Union | Yes | No | Yes | Yes | Yes | Yes |
Intersection | Yes | No | No | Yes | Yes | Yes |
Complement | Yes | Yes | No | Yes | Yes | No |
Concatenation | Yes | No | Yes | Yes | Yes | Yes |
Kleene star | Yes | No | Yes | Yes | Yes | Yes |
Homomorphism | Yes | No | Yes | No | No | Yes |
<math>\epsilon</math>-free Homomorphism | Yes | No | Yes | Yes | Yes | Yes |
Substitution (<math>\epsilon</math>-free) | Yes | No | Yes | Yes | No | Yes |
Inverse Homomorphism | Yes | Yes | Yes | Yes | Yes | Yes |
Reverse | Yes | No | Yes | Yes | Yes | Yes |