Generating All Permutations by Context-Free Grammars in Chomsky Normal Form

Asveld, P.R.J. (2004) Generating All Permutations by Context-Free Grammars in Chomsky Normal Form. [Report]

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Abstract:	Let $L_n$ be the finite language of all $n!$ strings that are permutations of $n$ different symbols ( $n\geq 1$ ). We consider context-free grammars $G_n$ in Chomsky normal form that generate $L_n$ . In particular we study a few families $\{G_n\}_{n\geq1}$ , satisfying $L(G_n)=L_n$ for $n\geq 1$ , with respect to their descriptional complexity, i.e. $\$ we determine the number of nonterminal symbols and the number of production rules of $G_n$ as functions of $n$ .
Item Type:	Report
Faculty:	Electrical Engineering, Mathematics and Computer Science (EEMCS)
Link to this item:	http://purl.utwente.nl/publications/63051
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