Search Results - "Jeż, Artur"
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1
Word equations in non-deterministic linear space
Published in Journal of computer and system sciences (01-02-2022)“…Satisfiability of word equations problem is: Given two sequences consisting of letters and variables decide whether there is a substitution for the variables…”
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2
A really simple approximation of smallest grammar
Published in Theoretical computer science (22-02-2016)“…In this paper we present a really simple linear-time algorithm constructing a context-free grammar of size 4glog3/2(N/g) for the input string, where N is the…”
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3
Approximation of grammar-based compression via recompression
Published in Theoretical computer science (09-08-2015)“…In this paper we present a simple linear-time algorithm constructing a context-free grammar of size O(glog(N/g)) for the input string, where N is the size of…”
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4
One-Variable Word Equations in Linear Time
Published in Algorithmica (2016)“…In this paper we consider word equations with one-variable (and arbitrarily many occurrences of it). A recent technique of recompression, which is applicable…”
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5
Finding all solutions of equations in free groups and monoids with involution
Published in Information and computation (01-12-2016)“…This paper presents a PSPACE algorithm which yields a finite graph of exponential size that describes the set of all solutions of equations in free groups as…”
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6
Approximation of smallest linear tree grammar
Published in Information and computation (01-12-2016)“…A simple linear-time algorithm for constructing a linear context-free tree grammar of size O(rg+rglog(n/rg)) for a given input tree T of size n is presented,…”
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7
Unambiguous conjunctive grammars over a one-symbol alphabet
Published in Theoretical computer science (22-02-2017)“…It is demonstrated that unambiguous conjunctive grammars over a unary alphabet Σ={a} have non-trivial expressive power, and that their basic properties are…”
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8
Constructing small tree grammars and small circuits for formulas
Published in Journal of computer and system sciences (01-06-2017)“…It is shown that every tree of size n over a fixed set of σ different ranked symbols can be produced by a so called straight-line linear context-free tree…”
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9
The Complexity of Compressed Membership Problems for Finite Automata
Published in Theory of computing systems (01-11-2014)“…In this paper, a compressed membership problem for finite automata, both deterministic (DFAs) and non-deterministic (NFAs), with compressed transition labels…”
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10
Computational completeness of equations over sets of natural numbers
Published in Information and computation (01-10-2014)“…Systems of finitely many equations of the form φ(X1,…,Xn)=ψ(X1,…,Xn) are considered, in which the unknowns Xi are sets of natural numbers, while the…”
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11
Least and greatest solutions of equations over sets of integers
Published in Theoretical computer science (14-03-2016)“…Systems of equations with sets of integers as unknowns are considered, with the operations of union, intersection and addition of sets, S+T={m+n|m∈S,n∈T}…”
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12
Equations over sets of integers with addition only
Published in Journal of computer and system sciences (01-09-2016)“…Systems of equations of the form X=Y+Z and X=C are considered, in which the unknowns are sets of integers, the plus operator denotes element-wise sum of sets,…”
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13
Validating the Knuth-Morris-Pratt Failure Function, Fast and Online
Published in Theory of computing systems (01-02-2014)“…Let denote the failure function of the Knuth-Morris-Pratt algorithm for a word w . In this paper we study the following problem: given an integer array , is…”
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14
Conjunctive Grammars over a Unary Alphabet: Undecidability and Unbounded Growth
Published in Theory of computing systems (2010)“…It has recently been proved (Jeż, DLT 2007) that conjunctive grammars (that is, context-free grammars augmented by conjunction) generate some non-regular…”
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15
On the two-dimensional cow search problem
Published in Information processing letters (16-05-2009)“…We investigate the problem introduced by Baeza-Yates et al. [R.A. Baeza-Yates, J.C. Culberson, G.J.E. Rawlins, Searching with uncertainty, Research report,…”
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16
Complexity of Equations over Sets of Natural Numbers
Published in Theory of computing systems (01-02-2011)“…Systems of equations of the form X i = φ i ( X 1 ,…, X n ) (1 ≤ i ≤ n ) are considered, in which the unknowns are sets of natural numbers. Expressions φ i may…”
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17
One-Nonterminal Conjunctive Grammars over a Unary Alphabet
Published in Theory of computing systems (01-08-2011)“…Conjunctive grammars over an alphabet Σ ={ a } are studied, with the focus on the special case with a unique nonterminal symbol. Such a grammar is equivalent…”
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18
Representing Hyper-arithmetical Sets by Equations over Sets of Integers
Published in Theory of computing systems (01-08-2012)“…Systems of equations with sets of integers as unknowns are considered. It is shown that the class of sets representable by unique solutions of equations using…”
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19
Collecting Weighted Items from a Dynamic Queue
Published in Algorithmica (01-01-2013)“…We consider online competitive algorithms for the problem of collecting weighted items from a dynamic queue S . The content of S varies over time. An update to…”
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20
A ϕ-competitive algorithm for collecting items with increasing weights from a dynamic queue
Published in Theoretical computer science (04-03-2013)“…The bounded-delay packet scheduling (or buffer management) problem is to schedule transmissions of packets arriving in a buffer of a network link. Each packet…”
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