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Descriptional complexity of bounded context-free languages [article]

Andreas Malcher, Giovanni Pighizzini
2009 arXiv   pre-print
Finite-turn pushdown automata (PDA) are investigated concerning their descriptional complexity. It is known that they accept exactly the class of ultralinear context-free languages.  ...  Finally, the more general case of word-bounded languages is investigated. We show how the results obtained for letter-bounded languages can be extended to word-bounded languages.  ...  Since the membership problem for word-bounded context-free languages can be reduced to the membership problem for letter-bounded context-free languages by using suitable inverse homomorphisms, we obtain  ... 
arXiv:0905.1045v2 fatcat:yxmqfio575cyvbtlv2sxgdo4ri

Page 7067 of Mathematical Reviews Vol. , Issue 2003i [page]

2003 Mathematical Reviews  
; Waterloo, ON) Unary context-free grammars and pushdown automata, descriptional complexity and auxiliary space lower bounds.  ...  This paper studies the size, or the descriptive complexity, of context-free grammars, finite automata, and (auxiliary) pushdown automata, from the point of view of how complex are unary languages, i.e.  ... 

On the recursion-theoretic complexity of relative succinctness of representations of languages

Louise Hay
1982 Information and Control  
Exactly analogous results hold for the complexity of the relative succinctness of the representation of unambiguous context-free languages by unambiguous and ambiguous context-free grammars (Schmidt and  ...  It will be shown that for the examples considered in Hartmanis (1980) (deterministic context-free languages, unambiguous languages, regular languages), the best possible partial bound as a function of  ... 
doi:10.1016/s0019-9958(82)80081-8 fatcat:q5ongxuuzbagnppverwjq2wmam

Page 1356 of Mathematical Reviews Vol. 53, Issue 4 [page]

1977 Mathematical Reviews  
This paper is a survey of the descriptional (e.g., grammar, auto- 7 mata and expression) complexity of context-free languages.  ...  Gruska, Josef Descriptional complexity of context-free languages. Mathematical foundations of computer science (Proc. Sympos. and Summer School, Strbské Pleso, 1973), pp. 71-83. Math.  ... 

On Measuring Non-Recursive Trade-Offs

Hermann Gruber, Markus Holzer, Martin Kutrib
2009 Electronic Proceedings in Theoretical Computer Science  
We also identify criteria which, in the spirit of abstract language theory, allow us to deduce non-recursive tradeoffs from effective closure properties of language families on the one hand, and differences  ...  We investigate the phenomenon of non-recursive trade-offs between descriptional systems in an abstract fashion.  ...  context-sensitive grammars and ET0L systems, (VII) between context-sensitive grammars and (linear) context-free grammars, and (VIII) between context-sensitive grammars and indexed grammars.  ... 
doi:10.4204/eptcs.3.13 fatcat:iwyn6aly6zbslj2qxx6kzf2u4m

Cumulative subject index

1978 Information and Control  
bounded languages, 39, 177 forms, context-free: context-senaitive languages and, 39, 135 families of, effect of finite index restric- tion on, 39, 284 finite-index, family of languages with only  ...  , 39, 14 graph, context-free, 37, 207 stochastic regular, inference of, 38, 310 universal and left universal, and context- sensitive languages, 39, 135 Graph grammars, context-free, 37, 207 theory  ... 
doi:10.1016/s0019-9958(78)90707-6 fatcat:3g6qa5hi2zc2lgyyvndbar65di

Page 6510 of Mathematical Reviews Vol. , Issue 98J [page]

1998 Mathematical Reviews  
Moreover, we show that conditional context-free languages with context-free conditions of finite index are more powerful than conditional context-free languages with regular conditions of fi- nite index  ...  Tiibingen) Conditional context-free languages of finite index.  ... 

Page 1006 of Mathematical Reviews Vol. 56, Issue 3 [page]

1978 Mathematical Reviews  
the same complexity) for any other context-free language.  ...  After a section with some known results in the area of bounded languages, the author makes a study of the inclusion relations among some families of context-free bounded languages.  ... 

A simplified lower bound for context-free-language recognition

Joel I. Seiferas
1986 Information and Control  
For on-line recognition of the words in an arbitrary linear context-free language, there are known tight bounds on the time required by a deterministic multitape Turing machine.  ...  Using Kolmogorov's notion of descriptional complexity as a tool, we present a simple proof of the latter result. © 1986 Academic Press, Inc. where w R denotes the reverse of word w.  ...  For on-line recognition of the words in an arbitrary linear context-free language (Harrison, 1978) , there are known tight bounds on the time required by a deterministic multitape Turing machine.  ... 
doi:10.1016/s0019-9958(86)80048-1 fatcat:22ukzllhlfgwfmojobrognj3yq

Page 1307 of Mathematical Reviews Vol. , Issue 2003B [page]

2003 Mathematical Reviews  
It turns out that the family of counter synchronized context-free languages is a proper superset of the family of context-free languages and is strictly contained in the family of synchronized context-free  ...  In this representation, bound variables of the object language are represented by bound variables of the metalanguage.  ... 

On the descriptional power of heads, counters, and pebbles

Martin Kutrib
2005 Theoretical Computer Science  
We investigate the descriptional complexity of deterministic two-way k-head finite automata (k-DHA).  ...  An immediate consequence of the previous theorems are non-recursive trade-offs between the languages accepted by any k-DHA, k 2, and the context-free languages. Theorem 5.  ...  Since the context-free languages are a subset of P, the complexity classes DSPACE(log) and P would be separated.  ... 
doi:10.1016/j.tcs.2004.04.013 fatcat:u2nr4t3twzcubmfoyhfqcn7iwa

Regular realizability problems and context-free languages [article]

Alexander A. Rubtsov, Mikhail N. Vyalyi
2015 arXiv   pre-print
In this paper we focus on the case of context-free filters. Algorithmic complexity of the RR problem is a very coarse measure of context-free languages complexity.  ...  We present examples of P-complete RR problems as well as examples of RR problems in the class NL. Also we discuss RR problems with context-free filters that might have intermediate complexity.  ...  Acknowledgments We are acknowledged to Abuzer Yakaryilmaz for pointing on the result of Lemma 5 and for reference to a lemma similar to Lemma 6.  ... 
arXiv:1503.00295v2 fatcat:7gjxwtmwx5fdfglgz6vyfun7fy

Page 1883 of Mathematical Reviews Vol. 55, Issue 6 [page]

1978 Mathematical Reviews  
, -++,L, are context-free languages one of which is bounded, then L; N---OL, is an EDTOL language. (4) The complement of any intersection of bounded context-free languages is an EDTOL language.  ...  The present author adds four intricate and complex results on iterative pairs in context-free languages.  ... 

Page 2252 of Mathematical Reviews Vol. 52, Issue 6 [page]

1976 Mathematical Reviews  
For languages L in #,, is description in 9 more “economical” than description in J, and if so by how much?  ...  In this paper, is the family of context-free grammars and 9, is the family of context-free grammars without erasing rules; as is well known, Y,={L—{empty word}|L ¢ #}.  ... 

Page 3793 of Mathematical Reviews Vol. , Issue 84i [page]

1984 Mathematical Reviews  
Author’s summary: “Derivational complexity of context-free grammars is studied.  ...  Further, we give the integral description of the replacement property of a family of languages.  ... 
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