Context-free complete language

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Is there a notion of a context-free complete language (in the analogous sense to a $NP$-complete language)?










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    Is there a notion of a context-free complete language (in the analogous sense to a $NP$-complete language)?










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      up vote
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      favorite









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      down vote

      favorite











      Is there a notion of a context-free complete language (in the analogous sense to a $NP$-complete language)?










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      Is there a notion of a context-free complete language (in the analogous sense to a $NP$-complete language)?







      formal-languages computability context-free






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      edited 1 hour ago









      Thinh D. Nguyen

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      asked 2 hours ago









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          Yes.



          Lautemann and Schwentick prove that Greibach's "hardest context-free grammar" with a neutral symbol is complete for $LOGCFL$ and hence $CFL$ also, under quantifier-free projection without BIT.



          This is Corollary 4.3 in their paper






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            1 Answer
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            active

            oldest

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            1 Answer
            1






            active

            oldest

            votes









            active

            oldest

            votes






            active

            oldest

            votes








            up vote
            3
            down vote



            accepted










            Yes.



            Lautemann and Schwentick prove that Greibach's "hardest context-free grammar" with a neutral symbol is complete for $LOGCFL$ and hence $CFL$ also, under quantifier-free projection without BIT.



            This is Corollary 4.3 in their paper






            share|cite|improve this answer
























              up vote
              3
              down vote



              accepted










              Yes.



              Lautemann and Schwentick prove that Greibach's "hardest context-free grammar" with a neutral symbol is complete for $LOGCFL$ and hence $CFL$ also, under quantifier-free projection without BIT.



              This is Corollary 4.3 in their paper






              share|cite|improve this answer






















                up vote
                3
                down vote



                accepted







                up vote
                3
                down vote



                accepted






                Yes.



                Lautemann and Schwentick prove that Greibach's "hardest context-free grammar" with a neutral symbol is complete for $LOGCFL$ and hence $CFL$ also, under quantifier-free projection without BIT.



                This is Corollary 4.3 in their paper






                share|cite|improve this answer












                Yes.



                Lautemann and Schwentick prove that Greibach's "hardest context-free grammar" with a neutral symbol is complete for $LOGCFL$ and hence $CFL$ also, under quantifier-free projection without BIT.



                This is Corollary 4.3 in their paper







                share|cite|improve this answer












                share|cite|improve this answer



                share|cite|improve this answer










                answered 1 hour ago









                Thinh D. Nguyen

                3,63111468




                3,63111468



























                     

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