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day31 - Summary of Grammar Results Click to edit Master...

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Click to edit Master subtitle style 10/4/11 Summary of Grammar Results
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10/4/11 Dec 2, 2007/COT5310 © UCF (Charles E. Hughes) 22 Decidability Everything about regular Membership in CFLs and CSLs CKY for CFLs Emptiness for CFLs
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10/4/11 Dec 2, 2007/COT5310 © UCF (Charles E. Hughes) 33 Undecidability Is L =° Is L= Σ *, for CFL (CSL), L? Is L1=L2 for CFLs (CSLs), L1, L2? Is L1 L2 for CFLs (CSLs ), L1, L2? Is L1° L2=b for CFLs (CSLs ), L1, L2? Is L regular, for CFL (CSL), L? Is L1° L2 a CFL for CFLs, L1, L2? Is ~L CFL, for CFL, L?
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10/4/11 Dec 2, 2007/COT5310 © UCF (Charles E. Hughes) 44 More Undecidability Is CFL, L, ambiguous? Is L=L2, L a CFL? Does there exist a finite n, Ln=LN+1? Is L1/L2 finite, L1 and L2 CFLs? Membership in L1/L2, L1 and L2 CFLs?
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10/4/11 Dec 2, 2007/COT5310 © UCF (Charles E. Hughes) 55 Word to Grammar Problem Recast semi-Thue system making all symbols non-terminal, adding S and V to non-terminals and terminal set f={a} G: S ° h1xq10h hq0h H V V , aV V , H L (M) iff L (G) ≠ Ø iff L (G) infinite
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