Csl-context sensitive language

Question

CSL closed under complementation??

Comments

Yes! it is.

https://gatecse.in/closure-property-of-language-families/

Answer 1

CSL are closed under all except 2 things 1)HOMOMORPHISM 2)SUBSTITUTION.....

you can have this 

Comments

 mismatch are there  for CSL

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
ϵϵ-free Homomorphism	yes	no	yes	yes	yes	yes
Substitution (ϵϵ-free)	yes	no	yes	yes	no	yes
Inverse Homomorphism	yes	yes	yes	yes	yes	yes
Reverse	yes	no	yes	yes	yes	yes
Intersection with a regular language	yes	yes	yes	yes	yes	yes

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According to wikipedia CSL is closed under substitution