Abstract
We investigate context-free languages with respect to the measure Prod of descriptional complexity, which gives the minimal number of productions necessary to generate the language. In particular, we consider the behaviour of this measure with respect to operations. For given natural numbers c 1,c 2,…,c n and an n-ary operation τ on languages, we discuss the set g τ (c 1,c 2,…,c n ) which is the range of Prod(τ(L 1,L 2,…, L n )) where, for 1 ≤ i ≤ n, L i is a context-free language with Prod(L i ) = c i . The operations under discussion are union, concatenation, reversal, and Kleene closure.
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Dassow, J., Harbich, R. (2012). Production Complexity of Some Operations on Context-Free Languages. In: Kutrib, M., Moreira, N., Reis, R. (eds) Descriptional Complexity of Formal Systems. DCFS 2012. Lecture Notes in Computer Science, vol 7386. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-31623-4_11
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DOI: https://doi.org/10.1007/978-3-642-31623-4_11
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