%0 Conference Proceedings %T Contextual Array Grammars with Matrix and Regular Control %+ Trier University %+ Vienna University of Technology = Technische Universität Wien (TU Wien) %+ Chennai Mathematical Institute [Inde] %+ Liverpool Hope University %A Fernau, Henning %A Freund, Rudolf %A Siromoney, Rani %A Subramanian, K., G. %< avec comité de lecture %( Lecture Notes in Computer Science %B 18th International Workshop on Descriptional Complexity of Formal Systems (DCFS) %C Bucharest, Romania %Y Cezar Câmpeanu %Y Florin Manea %Y Jeffrey Shallit %I Springer International Publishing %3 Descriptional Complexity of Formal Systems %V LNCS-9777 %P 98-110 %8 2016-07-05 %D 2016 %R 10.1007/978-3-319-41114-9_8 %Z Computer Science [cs]Conference papers %X We investigate the computational power of d-dimensional contextual array grammars with matrix control and regular control languages. For $$d\ge 2$$, d-dimensional contextual array grammars are less powerful than matrix contextual array grammars, which themselves are less powerful than contextual array grammars with regular control languages. Yet in the 1-dimensional case, for a one-letter alphabet, the family of 1-dimensional array languages generated by contextual array grammars with regular control languages coincides with the family of regular 1-dimensional array languages, whereas for alphabets with more than one letter, we obtain the array images of the linear languages. %G English %Z TC 1 %Z WG 1.2 %2 https://inria.hal.science/hal-01633942/document %2 https://inria.hal.science/hal-01633942/file/416473_1_En_8_Chapter.pdf %L hal-01633942 %U https://inria.hal.science/hal-01633942 %~ IFIP-LNCS %~ IFIP %~ IFIP-TC %~ IFIP-TC1 %~ IFIP-WG %~ IFIP-DCFS %~ IFIP-LNCS-9777 %~ IFIP-WG1-2