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On complements of some bounded context-sensitive languages

Sorin Istrail
1979 Information and Control  
The language generated by G is given byL x0 *~a w is a derivation in G (Salomaa, (1973) ). A language is context-sensitive if it is generated by some context-sensitive grammar.  ...  INTRODUCTION I n Istrail (1978) we investigate some recursive properties which appear in context-sensitive languages.  ... 
doi:10.1016/s0019-9958(79)90272-9 fatcat:hjfcdnsfnrgebegt6adoirxfzq

The complement of a finite index matrix language is context sensitive

Gheorghe Päun
1980 Information and Control  
In a constructive grammatical way it is proved that the complement of a -finite index matrix language is context sensitive.  ...  INTRODUCTION One of the famous open problems in formal language theory is the question of whether the complement of a context sensitive language is context sensitive or not.  ...  A family of context sensitive languages whose complements are context sensitive is given in (Istrail, 1979) too.  ... 
doi:10.1016/s0019-9958(80)90504-5 fatcat:xnjdep5byfdxldxtsmju57kqri

Page 2885 of Mathematical Reviews Vol. , Issue 84g [page]

1984 Mathematical Reviews  
Author’s introduction: “One of the famous open problems in formal language theory is the question of whether the complement of a context-sensitive language is context-sensitive or not.  ...  It is known that the complement of a deterministic context-sensitive language is context-sensitive [J. E. Hopcroft and J. D.  ... 

Classes of languages and linear-bounded automata

S.-Y. Kuroda
1964 Information and Control  
According to C h o m s k y (1959) G is context-sensitive, if each rule is of the t y p e • In general, for a finite set V, we mean by V* the free semigroup generated by V.  ...  A string x in VT is a sentence of G, if x is a t h e o r e m of G, t h a t is to say, if S ~ x. T h e set of sentences of G is the language generated b y G, which will be d e n o t e d b y L(G).  ...  Languages that have context-sensitive, constext-free and one-sided linear grammars are context-sensitive, context-free and one-sided linear languages, respectively.  ... 
doi:10.1016/s0019-9958(64)90120-2 fatcat:5fd7qigdfjgo7fbd4blagxqab4

Page 2921 of Mathematical Reviews Vol. 58, Issue 4 [page]

1979 Mathematical Reviews  
Theorem 1: There exists a number Cy such that the function f defined by f(n) =n" is an upper bound on the decision complexity of an arbitrary property of context-sensitive languages.  ...  Several sufficient conditions for the existence of nontrivial lower bounds for the decision complexity of context-sensitive languages are obtained.  ... 

Page 346 of Mathematical Reviews Vol. , Issue 80A [page]

1980 Mathematical Reviews  
The class of context-sensi- tive languages is closed under complementation if and only if L, is context-sensitive.  ...  The complements of the context-sensitive ianguages form a principal AFL with a hardest set L,.  ... 

Degree-languages: A new concept of acceptance

Detlef Wotschke
1977 Journal of computer and system sciences (Print)  
The class of context-sensitive languages is closed under complementation if and only if eveG, degree-language over a linear bounded automaton is either context-sensitive or is the complement of a context-sensitive  ...  The class of degree-languages over pushdown automata (linear bounded automata) contains the intersection-closure and the complements of the context-free (context-sensitive) languages and it is contained  ...  THEOREM 6 . 2 . 62 The class of context-sensitive languages is closed under complementation if and only if every Iba-degree-language is either context-sensitive or the complement of a context-sensitive  ... 
doi:10.1016/s0022-0000(77)80012-3 fatcat:bwvxnqcrxrhvbb3skz5bmge4mu

Linearly bounded infinite graphs

Arnaud Carayol, Antoine Meyer
2006 Acta Informatica  
Linearly bounded Turing machines have been mainly studied as acceptors for context-sensitive languages.  ...  We present some of their structural properties as well as alternative characterizations in terms of rewriting systems and context-sensitive transductions.  ...  As the context-sensitive languages are closed under complement and intersection, L ′ is context-sensitive.  ... 
doi:10.1007/s00236-006-0022-z fatcat:3hialx5b5rao7pduyhjvhtgcda

The size of Higman–Haines sets

Hermann Gruber, Markus Holzer, Martin Kutrib
2007 Theoretical Computer Science  
This nicely contrasts the result on the effectiveness of the Higman-Haines sets for the family of context-free languages.  ...  Finally for the family of regular languages we prove an upper and a matching lower bound on the size of the Higman-Haines sets in terms of nondeterministic finite automata.  ...  subset of growing context-sensitive languages.  ... 
doi:10.1016/j.tcs.2007.07.036 fatcat:pj5zmp5dfvhuvjridivq7l4zia

Page 2049 of Mathematical Reviews Vol. 51, Issue 6 [page]

1976 Mathematical Reviews  
The author gives a bound for the parsing time for w.c.s. languages on random- access bounded activity machine structures and describes in an instructive example some typical context conditions of ALGOL  ...  . ; The author defines a class of so called weakly context-sensitive languages (w.c.s. languages) that is properly contained in the family of context-sensitive languages and is a proper extension of the  ... 

Page 3749 of Mathematical Reviews Vol. , Issue 81I [page]

1981 Mathematical Reviews  
With a ‘similar proof it may be shown that normal systems with |a| < |d| (called context sensitive normal systems) generate the class of context sensitive languages.  ...  Some complements to known results are proved and some problems are formulated. M. Novotny (Brno) Paun, Gheorghe 811:68 109 Some consequences of a result of Ehrenfeucht and Rozenberg.  ... 

Page 1312 of Mathematical Reviews Vol. , Issue 2003B [page]

2003 Mathematical Reviews  
While there are simple relations to the regular and context-sensitive ones, here we shed some light on the relations to the context-free languages and some of their important subfamilies.”  ...  In addition, we show that the set of languages recognized by 4-way NFAs is not closed under complementation, and that NFAs are more powerful than DFAs, even for languages over one symbol.”  ... 

On the Iterated Hairpin Completion [chapter]

Steffen Kopecki
2010 Lecture Notes in Computer Science  
We will show that it can be non-context-free. (It is of course context-sensitive.) 2.) A restricted but also very natural variant of the hairpin completion is the bounded hairpin completion.  ...  It is known that the iterated hairpin completion of a regular language is not context-free in general, but it was open whether the iterated hairpin completion of a singleton or finite language is regular  ...  Acknowledgements I would like to thank Volker Diekert for many suggestions on the presentation of this paper, Florin Manea for numerous helpful discussions, and the anonymous referees of the DLT committee  ... 
doi:10.1007/978-3-642-14455-4_42 fatcat:sg3jdujhkjhwbk6t6zhofebizy

Page 1580 of Mathematical Reviews Vol. , Issue 80D [page]

1980 Mathematical Reviews  
It is shown that equality sets are al- ways context-sensitive but they are context-free in the special case where the target alphabet consists of one letter only.  ...  Such a machine possesses a working tape with a head able to inspect a bounded number (k > 3) of successive symbols appearing on the tape.  ... 

Further remarks on DNA overlap assembly

Srujan Kumar Enaganti, Oscar H. Ibarra, Lila Kari, Steffen Kopecki
2017 Information and Computation  
completeness of a language.  ...  It also investigates the problem of deciding whether a given string is terminal with respect to a language, and the problem of deciding if a given language can be generated by an overlap assembly operation  ...  Acknowledgements We thank the reviewers for their comments which improved the presentation of our results.  ... 
doi:10.1016/j.ic.2017.01.009 fatcat:vfo472uabrhv3hq2qhhxh2kp74
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