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The Complexity of Languages Resulting from the Concatenation Operation [chapter]

Galina Jirásková, Alexander Szabari, Juraj Šebej
2016 Lecture Notes in Computer Science  
This covers all the possible cases, and proves the theorem. ⊓ ⊔ Conclusions We investigated the state complexity of languages resulting from the concatenation operation.  ...  In Section 4, we prove that the range of possible complexities for the languages resulting from the concatenation operation is contiguous from 1 up to known upper bound, and we show that a linear alphabet  ...  A similar problem for the square operation, defined as L 2 = LL, remains open even for an exponential alphabet.  ... 
doi:10.1007/978-3-319-41114-9_12 fatcat:utjgbtial5fe7gepbamtv6tk3y

Operational State Complexity of Deterministic Unranked Tree Automata

Xiaoxue Piao, Kai Salomaa
2010 Electronic Proceedings in Theoretical Computer Science  
We consider the state complexity of basic operations on tree languages recognized by deterministic unranked tree automata.  ...  For tree concatenation we establish a tight upper bound that is of a different order than the known state complexity of concatenation of regular string languages.  ...  The bound is of a different order than the known state complexity m2 n − 2 n−1 of concatenation of regular string languages.  ... 
doi:10.4204/eptcs.31.17 fatcat:suj2shjye5fp7hwa3xbpjblmnm

Descriptional Complexity of Deterministic Regular Expressions [chapter]

Katja Losemann, Wim Martens, Matthias Niewerth
2012 Lecture Notes in Computer Science  
Then we give an overview of the closure properties of these languages under various language-theoretic operations and we study the descriptional complexity of applying these operations.  ...  We study the descriptional complexity of regular languages that are definable by deterministic regular expressions.  ...  Descriptional Complexity of Operations on DRE-Definable Languages We are now ready to apply previously obtained results to prove lower bounds on the descriptional complexity of operations on DREs.  ... 
doi:10.1007/978-3-642-32589-2_56 fatcat:kdz6adftwjg4vbgnzs7v7tpv24

Operational State Complexity under Parikh Equivalence [chapter]

Giovanna J. Lavado, Giovanni Pighizzini, Shinnosuke Seki
2014 Lecture Notes in Computer Science  
We investigate, under Parikh equivalence, the state complexity of some language operations which preserve regularity.  ...  of the Parikh images of the languages accepted by A and B.  ...  Introduction The investigation of the state complexity of regular languages and their operations is extensively reported in the literature (e.g., [11, 14, 15] ).  ... 
doi:10.1007/978-3-319-09704-6_26 fatcat:erydydok3jdllckaqg6mrqao7m

Basic operations: Minimal syntax-semantics

Norbert Hornstein, Paul Pietroski
2009 Catalan Journal of Linguistics  
On this view, all complex expressions are formed via the operation COMBINE(A, B). But this operation is not primitive: COMBINE(A, B) = LABEL[CONCATENATE(A, B)].  ...  In this programmatic paper, we articulate a minimalist conception of linguistic composition, syntactic and semantic, with the aim of identifying fundamental operations invoked by the human faculty of language  ...  One can also view grammatical combination in human languages as the result of adding a new twist-labels-to the more cognitively ancient operation of concatenation.  ... 
doi:10.5565/rev/catjl.148 fatcat:esthgvenorbptdmnfadbhh5oou

Page 2951 of Mathematical Reviews Vol. , Issue 95e [page]

1995 Mathematical Reviews  
A mapping, F, from the set of all grammars into the set of all grammars is a standardizing operation on a class of recursively enumerable languages just in case F maps any grammar for any language L €  ...  The restrictions we impose on the operator of concatenation are purely in terms of the length of the words to be concatenated.” 95e:68110 68Q45 Honkala, Juha (SF-TURK; Turku) An iteration property of Lindenmayerian  ... 

Nondeterministic State Complexity of Star-Free Languages [chapter]

Markus Holzer, Martin Kutrib, Katja Meckel
2011 Lecture Notes in Computer Science  
We investigate the nondeterministic state complexity of several operations on finite automata accepting star-free languages.  ...  This nicely complements the results recently obtained in [8] for the operation problem of star-free languages accepted by deterministic finite automata.  ...  Introduction The operation problem on a language family is the question of cost (in terms of states) of operations on languages from this family with respect to their representations.  ... 
doi:10.1007/978-3-642-22256-6_17 fatcat:hykuruuj3nh53eyx7gxbsmtfc4

State complexity of the concatenation of regular tree languages

Xiaoxue Piao, Kai Salomaa
2012 Theoretical Computer Science  
We consider the state complexity of basic concatenation operations for regular tree languages.  ...  The bound for sequential concatenation of tree languages differs by an order of magnitude from the corresponding bound for regular string languages.  ...  It turns out that, for sequential concatenation of tree languages, the size blow-up of B differs by an order of magnitude from the known state complexity of concatenation of regular string languages [  ... 
doi:10.1016/j.tcs.2011.12.048 fatcat:sn4srx24xvdnrbkhxih6i4sdfy

State complexity of operations on two-way finite automata over a unary alphabet

Michal Kunc, Alexander Okhotin
2012 Theoretical Computer Science  
The paper determines the number of states in two-way deterministic finite automata (2DFA) over a one-letter alphabet sufficient and in the worst case necessary to represent the results of basic language-theoretic  ...  operations on 2DFAs with a certain number of states.  ...  The authors have used computer calculations to build the initial understanding of the state complexity of 2DFAs.  ... 
doi:10.1016/j.tcs.2012.04.010 fatcat:2ubboafp2jchtndocer5qfkxe4

Incomplete Transition Complexity of Basic Operations on Finite Languages [chapter]

Eva Maia, Nelma Moreira, Rogério Reis
2013 Lecture Notes in Computer Science  
In this paper we study the incomplete (deterministic) state and transition complexity on finite languages of boolean operations, concatenation, star, and reversal.  ...  The state complexity of basic operations on finite languages (considering complete DFAs) has been extensively studied in the literature.  ...  Introduction Descriptional complexity studies the measures of complexity of languages and operations.  ... 
doi:10.1007/978-3-642-39274-0_31 fatcat:2tzas46rdfcvzjpaktgxsdgs2q

State complexity of some operations on binary regular languages

Galina Jirásková
2005 Theoretical Computer Science  
We investigate the state complexity of some operations on binary regular languages.  ...  In particular, we consider the concatenation of languages represented by deterministic finite automata, and the reversal and complementation of languages represented by nondeterministic finite automata  ...  Acknowledgements I would like to thank Jožko Jirásek for his help with the computational verification of some conjectures.  ... 
doi:10.1016/j.tcs.2004.04.011 fatcat:tu6bumk2ercixn2olnzsu2ljau

The Complexity of Separation for Levels in Concatenation Hierarchies

Thomas Place, Marc Zeitoun, Michael Wagner
2018 Foundations of Software Technology and Theoretical Computer Science  
The aim of this paper is to establish such complexity results.  ...  We investigate the complexity of the separation problem associated to classes of regular languages.  ...  Consider the star-free languages (SF): for every alphabet A, SF(A) is the least set of languages containing all singletons {a} for a ∈ A and closed under Boolean operations and concatenation.  ... 
doi:10.4230/lipics.fsttcs.2018.47 dblp:conf/fsttcs/PlaceZ18 fatcat:wbhnpdtok5f37pwghrju7v4l2m

Complexity in Prefix-Free Regular Languages

Galina Jirásková, Monika Krausová
2010 Electronic Proceedings in Theoretical Computer Science  
We examine deterministic and nondeterministic state complexities of regular operations on prefix-free languages.  ...  We next provide the tight bounds on state complexity of symmetric difference, and deterministic and nondeterministic state complexity of difference and cyclic shift of prefix-free languages.  ...  resulting from some operation.  ... 
doi:10.4204/eptcs.31.22 fatcat:m337dgahebbjtbagpbb2aqeq6y

State complexity of unique rational operations

Narad Rampersad, Nicolae Santean, Jeffrey Shallit, Bala Ravikumar
2009 Theoretical Computer Science  
These unique operations can arguably be viewed as combined basic operations, placing this work in the popular area of state complexity of combined operations on regular languages.  ...  For each basic language operation we define its "unique" counterpart as being the operation that results in a language whose words can be obtained uniquely through the given operation.  ...  Acknowledgements This study benefitted greatly from our extensive experiments that could have not been possible without the use of Grail+, carefully developed and maintained by Derick Wood, Sheng Yu, and  ... 
doi:10.1016/j.tcs.2009.02.035 fatcat:frlgtnelmne2vk72sy7kdndpce

Implementation of Concatenation Technique for Low Resource Text-To-Speech System Based on Marathi Talking Calculator

Monica Mundada, Sangramsing Kayte, Pradip Das
2018 The 6th Intl. Workshop on Spoken Language Technologies for Under-Resourced Languages  
The average run time complexity of the application is also calculated which is noted down to 2.64 sec. The feedback and review of the application is also taken from real end-user i.e. blind people.  ...  It also speaks out the operation which is intended to be performed. The concatenation synthesis technique is applied to speak out the value of decimal places in the output number.  ...  Bharti Gawali Department of Computer Science and IT, Dr. Babasaheb Ambedkar Marathwada University, Aurangabad for providing the guidance for the research.  ... 
doi:10.21437/sltu.2018-16 dblp:conf/sltu/MundadaKD18 fatcat:wucnwd5wlndtbh43o6j7yoe7vi
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