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A characterization of poly-slender context-free languages

Lucian Ilie, Grzegorz Rozenberg, Arto Salomaa
2000 RAIRO - Theoretical Informatics and Applications  
We give a precise characterization of the kpoly-slender context-free languages. The well-known characterization of the k-poly-slender regular languages is an immediate consequence of ours.  ...  For a non-negative integer k, we say that a language L is k-poly-slender if the number of words of length n in L is of order O(n k ).  ...  Acknowledgements We would like to thank the anonymous referees for useful remarks concerning especially the clarity of the proof of Theorem 8 and for pointing out the references 11] and 12].  ... 
doi:10.1051/ita:2000100 fatcat:u5cp7v5dancjvn6hw2rsdhf6wa

Chomsky-Schützenberger Type Characterizations of Poly-Slender and Parikh Slender Context-Free Languages1 1Work supported by the Grants-in Aid for Scientific Research No. 1 0440034, Japan Society for the Promotion of Sciences and the Dirección General de Enseñanza Superior e Investigación Cientifica, SB 97-00110508

Masami Ito, Carlos Martín-Vide, Victor Mitrana
2004 Electronical Notes in Theoretical Computer Science  
In this paper we propose a Chomsky-Schützenberger type characterization ofpoly-slender context-free languages, as the homomorphical image of an intersection of a Dyck language and a´¾ · ½ µ -poly-slender  ...  A similar characterization is obtained for Parikh slender context-free languages. ½  ...  A characterization of poly-slender regular languages has been provided in [21] while a characterization of poly-slender context-free languages has been proposed in [12] .  ... 
doi:10.1016/s1571-0661(05)82579-4 fatcat:aqng5oczxffvreq64w3al6hwq4

Length considerations in context-free languages

Danny Raz
1997 Theoretical Computer Science  
Thus, we present a length characterization for bounded context-free languages. We then study slender context-free languages, i.e., those containing at most a constant number of words of each length.  ...  We first show that the context-free languages for which the number of words of every length is bounded by a fixed polynomial are exactly the bounded context-free languages in the sense of Ginsburg (1966  ...  Every poly-slender context-free language is bounded. Proof.  ... 
doi:10.1016/s0304-3975(96)00308-8 fatcat:bcsghpe6vrflfd262icx6kzije

Recognition of Linear-Slender Context-Free Languages by Real Time One-Way Cellular Automata [chapter]

Véronique Terrier
2015 Lecture Notes in Computer Science  
A linear-slender context-free language is a context-free language whose number of words of length n is linear in n.  ...  Thanks to this characterization, we show that every linear-slender context-free language is recognizable by a real time one-way cellular automaton.  ...  A context-free language is poly-slender if and only if it is bounded.  ... 
doi:10.1007/978-3-662-47221-7_19 fatcat:jnzhmozvwrg7xj5s5rto4ecuja

Page 2882 of Mathematical Reviews Vol. , Issue 2003d [page]

2003 Mathematical Reviews  
We give a characterization of Parikh k-poly-slender context-free languages and prove the decidability of both k-poly-slenderness and Parikh k-poly-slenderness for context-free languages.”  ...  20034:68121 of length n in L is of order O(n*) and Parikh k-poly-slender if the number of words with the same Parikh vector is of order O(n*).  ... 

Page 5019 of Mathematical Reviews Vol. , Issue 2001G [page]

2001 Mathematical Reviews  
of poly-slender context-free languages.  ...  The authors show that for any k > 0, a context-free language L is k-poly-slender if and only if L equals a finite union of (k + 1)-Dyck loops.  ... 

On Parikh Slender Languages and Power Series

Juha Honkala
1996 Journal of computer and system sciences (Print)  
As an application we get a new method for ambiguity proofs of context-free languages and a new proof of an earlier result of Autebert, Flajolet, and Gabarro concerning prefixes of infinite words. ]  ...  We define and study Parikh slender languages and power series. A language is Parikh slender if the number of words in the language with the same Parikh vector is bounded from above.  ...  The characterization of Parikh slender context-free languages among the bounded languages is an open problem.  ... 
doi:10.1006/jcss.1996.0014 fatcat:4q5xjwiecrdobnuwbsp26xll3q

Page 8659 of Mathematical Reviews Vol. , Issue 2003k [page]

2003 Mathematical Reviews  
For any alpha- bet , another alphabet A, a homomorphism hh: A* — =* and a Dyck language D over A can be determined such that for every poly-slender context-free language L over 2, a poly-slender regular  ...  Summary: “This paper provides the following homomorphic char- acterization of poly-slender context-free languages.  ... 

On the equivalence problem of context-free and DT0L languages

Juha Honkala
1999 Discrete Applied Mathematics  
It is undecidable whether or not a given context-free language and a propagating DT0L language are equal.  ...  We show that equivalence is decidable between context-free and everywhere growing DT0L languages. ?  ...  The following theorem gives a characterization of sparse context-free languages due to Latteux and Thierrin [6] .  ... 
doi:10.1016/s0166-218x(99)00120-1 fatcat:g2igpplvhrc6lm7csafrjvjchy

Some Computational Limits of Trellis Automata [chapter]

Véronique Terrier
2017 Lecture Notes in Computer Science  
Reusing a counting argument introduced in [4], we show that: {x1 . . . xny1 . . . yn : xiyi ∈ {ab, ba, bb} for i = 1, . . . , n} is not a trellis language.  ...  We investigate some computational limits of trellis automata.  ...  In this regard, the linear context free, the visible pushdown, the poly-slender context free languages are known to be all recognized by trellis automata [2, 6, 8, 1, 11] .  ... 
doi:10.1007/978-3-319-58631-1_14 fatcat:qdqk2eujpbechjlgfhy2ynfmve

Finding the growth rate of a regular language in polynomial time [article]

Dalia Krieger, Narad Rampersad, Jeffrey Shallit
2007 arXiv   pre-print
We also show that given a DFA accepting a language of polynomial growth, we can determine the order of polynomial growth in quadratic time.  ...  We give an O(n^3+n^2 t) time algorithm to determine whether an NFA with n states and t transitions accepts a language of polynomial or exponential growth.  ...  Acknowledgments We would like to thank Arne Storjohann for his input regarding algorithms for computing the Perron-Frobenius eigenvalue of a nonnegative integer matrix.  ... 
arXiv:0711.4990v1 fatcat:hn5wzy4aojc6rmg3773tedyv6e

Shuffle on trajectories: Syntactic constraints

Alexandru Mateescu, Grzegorz Rozenberg, Arto Salomaa
1998 Theoretical Computer Science  
For instance, we provide examples of applications to fairness property and to parallelization of non-context-free languages in terms of context-free and even regular languages.  ...  We introduce and investigate new methods to define parallel composition of words and languages as well as of w-words and o-languages.  ...  (ii) Using (i), we conclude that T is a context-free langnage that is also poly-slender. Therefore, from [39] , it follows that T is a bounded language. q Comment.  ... 
doi:10.1016/s0304-3975(97)00163-1 fatcat:dqepdv4ji5fjpnlkpr2gbcihr4

West African Polyrhythm: culture, theory, and representation

Michael Frishkopf, D. Roy, G. Fragulis, H.A. Cantu Campos
2021 SHS Web of Conferences  
well-known but culturally biased Western notation; a more neutral tabular notation, widely used in ethnomusicology but more limited in its representation of structure; and a context-free recursive grammar  ...  In this paper I explicate polyrhythm in the context of traditional West African music, framing it within a more general theory of polyrhythm and polymeter, then compare three approaches for the visual  ...  Understanding that system is thus a means of understanding society, as well as its music.  ... 
doi:10.1051/shsconf/202110205001 fatcat:dtn46kk2ofadrawnpvaw2ig2dq

Classical Greek Ethnography and the Slave Trade

Thomas Harrison
2019 Classical Antiquity  
previous Versions of this paper have been delivered at the History Department of Lancaster University, a joint St Andrews and William and Mary College symposium, and a Cambridge teachers' conference organized  ...  fostering a discourse on the differences among foreign peoples; and secondly, that Greek ethnographic writing was informed by the experience of slavery, containing implicit justifications of slavery as  ...  Hansen's verdict, 2006: 109, on the numbers of free non-citizens and slaves: "Every polis had plenty of both."  ... 
doi:10.1525/ca.2019.38.1.36 fatcat:4tfpmimg2vfjdiod67dk56pdle

Foucault Goes to Weight Watchers

CRESSDA J. HEYES
2006 Hypatia  
The hupomnemata of these organizations thus use asketic language to conceal their implication in normalization.  ...  time as they encourage participation in ever-tightening webs of power.  ...  context.  ... 
doi:10.1111/j.1527-2001.2006.tb01097.x fatcat:f6rykj2ajvhbraxuga3evjplta
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