%0 Conference Proceedings %T Cover Complexity of Finite Languages %+ Vienna University of Technology = Technische Universität Wien (TU Wien) %A Hetzl, Stefan %A Wolfsteiner, Simon %< avec comité de lecture %( Lecture Notes in Computer Science %B 20th International Conference on Descriptional Complexity of Formal Systems (DCFS) %C Halifax, NS, Canada %Y Stavros Konstantinidis %Y Giovanni Pighizzini %I Springer International Publishing %3 Descriptional Complexity of Formal Systems %V LNCS-10952 %P 139-150 %8 2018-07-25 %D 2018 %R 10.1007/978-3-319-94631-3_12 %Z Computer Science [cs]Conference papers %X We consider the notion of cover complexity of finite languages on three different levels of abstraction. For arbitrary cover complexity measures, we give a characterisation of the situations in which they collapse to a bounded complexity measure. Moreover, we show for a restricted class of context-free grammars that its grammatical cover complexity measure w.r.t. a finite language L is unbounded and that the cover complexity of L can be computed from the exact complexities of a finite number of covers $$L' \supseteq L$$. We also investigate upper and lower bounds on the grammatical cover complexity of the language operations intersection, union, and concatenation on finite languages for several different types of context-free grammars. %G English %Z TC 1 %Z WG 1.2 %2 https://inria.hal.science/hal-01905625/document %2 https://inria.hal.science/hal-01905625/file/470153_1_En_12_Chapter.pdf %L hal-01905625 %U https://inria.hal.science/hal-01905625 %~ IFIP-LNCS %~ IFIP %~ IFIP-TC %~ IFIP-TC1 %~ IFIP-WG %~ IFIP-DCFS %~ IFIP-WG1-2 %~ IFIP-LNCS-10952