9 Search Results for "Mayordomo, Elvira"

Document
DOI: 10.4230/LIPIcs.LICS.2026.78
Randomness Extraction Fails for Finite-State Dimension

Authors: Subin Pulari and Akhil S

Published in: LIPIcs, Volume 380, 41st Annual Symposium on Logic in Computer Science (LICS 2026)

Abstract
Finite-state dimension, introduced as a finite-state analogue of Hausdorff dimension, quantifies the lower asymptotic density of information in an infinite sequence as perceived by finite-state automata. It admits several equivalent formulations; two particularly useful are via finite-state gambling strategies and via the optimal asymptotic compression ratio achieved by information-lossless finite-state compressors. Normal sequences represent the highest level of algorithmic randomness visible to finite automata, and are exactly those sequences having finite-state dimension equal to 1. This motivates a bounded-memory notion of randomness extraction: can a finite-state transducer, reading a single sequence streamingly, extract a normal output from a single input source? More modestly, can it always transform the input into an output of strictly higher finite-state dimension? Finite-state transducers can perform surprisingly effective one-pass transformations: even with constant memory they can implement variable-length coding schemes including Shannon-Fano coding, remove local redundancy, and increase the apparent randomness rate on many structured or stochastic inputs. We show randomness extraction using transducers is impossible in a strong, explicit form. For every rational s ∈ (0,1), we construct a near linear-time computable binary sequence X with dim_FS(X) = s such that for every finite-state transducer T, the output satisfies dim_FS(T(X)) ≤ s. Thus, for these sequences, finite-state transduction cannot extract normality - indeed it cannot even improve finite-state dimension. Our proof proceeds by a structural analysis of finite-state transducers together with a dimension-preserving diagonal construction that, for each target s, builds a sequence whose organization defeats every such transducer’s attempt to concentrate randomness. The result is a finite-state analogue of Miller’s non-extractability phenomenon for effective dimension, but its proof relies on substantially different techniques, tailored to the finite-state setting. Furthermore, we show that the impossibility persists even with multiple independent input streams. We treat two notions of independence: (i) Kolmogorov-complexity–based independence (via joint prefix complexity), and (ii) a finite-state notion of relative independence, formulated via relative finite-state dimension. By sharp contrast with the effective-dimension setting - where two independent sources suffice for a uniform effective procedure that boosts randomness rate arbitrarily close to 1 - we show that finite-state dimension exhibits no comparable multi-source extraction phenomenon. Specifically, for every rational s ∈ (0,1) and every fixed k ≥ 2, there exist k independent sources, each of finite-state dimension s, such that for every k-input finite-state transducer T, the output satisfies dim_FS(T(X_1,… ,X_k)) ≤ s. Thus, even independent streams do not allow bounded-memory transduction to output a normal sequence or to increase finite-state dimension.
Cite as

Subin Pulari and Akhil S. Randomness Extraction Fails for Finite-State Dimension. In 41st Annual Symposium on Logic in Computer Science (LICS 2026). Leibniz International Proceedings in Informatics (LIPIcs), Volume 380, pp. 78:1-78:26, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2026)

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@InProceedings{pulari_et_al:LIPIcs.LICS.2026.78,
  author =	{Pulari, Subin and S, Akhil},
  title =	{{Randomness Extraction Fails for Finite-State Dimension}},
  booktitle =	{41st Annual Symposium on Logic in Computer Science (LICS 2026)},
  pages =	{78:1--78:26},
  series =	{Leibniz International Proceedings in Informatics (LIPIcs)},
  ISBN =	{978-3-95977-434-5},
  ISSN =	{1868-8969},
  year =	{2026},
  volume =	{380},
  editor =	{Faggian, Claudia and Katoen, Joost-Pieter},
  publisher =	{Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.LICS.2026.78},
  URN =		{urn:nbn:de:0030-drops-268656},
  doi =		{10.4230/LIPIcs.LICS.2026.78},
  annote =	{Keywords: Finite-state dimension, normal numbers, randomness extraction, finite-state transducers}
}
Document
DOI: 10.4230/LIPIcs.STACS.2026.75
Effective Versions of Strong Measure Zero

Authors: Matthew Rayman

Published in: LIPIcs, Volume 364, 43rd International Symposium on Theoretical Aspects of Computer Science (STACS 2026)

Abstract
Effective versions of strong measure zero sets are developed for various levels of complexity and computability. It is shown that the sets can be equivalently defined using a generalization of supermartingales called odds supermartingales, success rates on supermartingales, predictors, and coverings. We show Borel’s conjecture that a set has strong measure zero if and only if it is countable holds in the time and space bounded setting. At the level of computability this does not hold. We show the computable level contains sequences at arbitrary levels of the hyperarithmetical hierarchy. This is done by proving a correspondence principle yielding a condition for the sets of computable strong measure zero to agree with the classical sets of strong measure zero. An algorithmic version of strong measure zero using lower semicomputability is defined. We show that this notion is equivalent to the set of NCR reals studied by Reimann and Slaman, thereby giving new characterizations of this set. Effective strong packing dimension zero is investigated by requiring success with respect to the limit inferior instead of the limit superior. It is proven that every sequence in the corresponding algorithmic class is decidable. At the level of computability, the sets coincide with a notion of weak countability that we define.
Cite as

Matthew Rayman. Effective Versions of Strong Measure Zero. In 43rd International Symposium on Theoretical Aspects of Computer Science (STACS 2026). Leibniz International Proceedings in Informatics (LIPIcs), Volume 364, pp. 75:1-75:18, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2026)

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@InProceedings{rayman:LIPIcs.STACS.2026.75,
  author =	{Rayman, Matthew},
  title =	{{Effective Versions of Strong Measure Zero}},
  booktitle =	{43rd International Symposium on Theoretical Aspects of Computer Science (STACS 2026)},
  pages =	{75:1--75:18},
  series =	{Leibniz International Proceedings in Informatics (LIPIcs)},
  ISBN =	{978-3-95977-412-3},
  ISSN =	{1868-8969},
  year =	{2026},
  volume =	{364},
  editor =	{Mahajan, Meena and Manea, Florin and McIver, Annabelle and Thắng, Nguy\~{ê}n Kim},
  publisher =	{Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.STACS.2026.75},
  URN =		{urn:nbn:de:0030-drops-255648},
  doi =		{10.4230/LIPIcs.STACS.2026.75},
  annote =	{Keywords: Strong measure zero, NCR, Effective fractal dimensions, Borel’s Conjecture, Hausdorff dimension, Packing dimension}
}
Document
DOI: 10.4230/LIPIcs.TYPES.2024.6
Data Types with Symmetries via Action Containers

Authors: Philipp Joram and Niccolò Veltri

Published in: LIPIcs, Volume 336, 30th International Conference on Types for Proofs and Programs (TYPES 2024)

Abstract
We study two kinds of containers for data types with symmetries in homotopy type theory, and clarify their relationship by introducing the intermediate notion of action containers. Quotient containers are set-valued containers with groups of permissible permutations of positions, interpreted as (possibly non-finitary) analytic functors on the category of sets. Symmetric containers encode symmetries in a groupoid of shapes, and are interpreted accordingly as polynomial functors on the 2-category of groupoids. Action containers are endowed with groups that act on their positions, with morphisms preserving the actions. We show that, as a category, action containers are equivalent to the free coproduct completion of a category of group actions. We derive that they model non-inductive single-variable strictly positive types in the sense of Abbott et al.: The category of action containers is closed under arbitrary (co)products and exponentiation with constants. We equip this category with the structure of a locally groupoidal 2-category, and prove that it locally embeds into the 2-category of symmetric containers. This follows from the embedding of a 2-category of groups into the 2-category of groupoids, extending the delooping construction.
Cite as

Philipp Joram and Niccolò Veltri. Data Types with Symmetries via Action Containers. In 30th International Conference on Types for Proofs and Programs (TYPES 2024). Leibniz International Proceedings in Informatics (LIPIcs), Volume 336, pp. 6:1-6:21, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2025)

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@InProceedings{joram_et_al:LIPIcs.TYPES.2024.6,
  author =	{Joram, Philipp and Veltri, Niccol\`{o}},
  title =	{{Data Types with Symmetries via Action Containers}},
  booktitle =	{30th International Conference on Types for Proofs and Programs (TYPES 2024)},
  pages =	{6:1--6:21},
  series =	{Leibniz International Proceedings in Informatics (LIPIcs)},
  ISBN =	{978-3-95977-376-8},
  ISSN =	{1868-8969},
  year =	{2025},
  volume =	{336},
  editor =	{M{\o}gelberg, Rasmus Ejlers and van den Berg, Benno},
  publisher =	{Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.TYPES.2024.6},
  URN =		{urn:nbn:de:0030-drops-233681},
  doi =		{10.4230/LIPIcs.TYPES.2024.6},
  annote =	{Keywords: Containers, Homotopy Type Theory, Agda, 2-categories}
}
Document
DOI: 10.4230/LIPIcs.STACS.2022.48
Extending the Reach of the Point-To-Set Principle

Authors: Jack H. Lutz, Neil Lutz, and Elvira Mayordomo

Published in: LIPIcs, Volume 219, 39th International Symposium on Theoretical Aspects of Computer Science (STACS 2022)

Abstract
The point-to-set principle of J. Lutz and N. Lutz (2018) has recently enabled the theory of computing to be used to answer open questions about fractal geometry in Euclidean spaces ℝⁿ. These are classical questions, meaning that their statements do not involve computation or related aspects of logic. In this paper we extend the reach of the point-to-set principle from Euclidean spaces to arbitrary separable metric spaces X. We first extend two fractal dimensions - computability-theoretic versions of classical Hausdorff and packing dimensions that assign dimensions dim(x) and Dim(x) to individual points x ∈ X - to arbitrary separable metric spaces and to arbitrary gauge families. Our first two main results then extend the point-to-set principle to arbitrary separable metric spaces and to a large class of gauge families. We demonstrate the power of our extended point-to-set principle by using it to prove new theorems about classical fractal dimensions in hyperspaces. (For a concrete computational example, the stages E₀, E₁, E₂, … used to construct a self-similar fractal E in the plane are elements of the hyperspace of the plane, and they converge to E in the hyperspace.) Our third main result, proven via our extended point-to-set principle, states that, under a wide variety of gauge families, the classical packing dimension agrees with the classical upper Minkowski dimension on all hyperspaces of compact sets. We use this theorem to give, for all sets E that are analytic, i.e., Σ¹₁, a tight bound on the packing dimension of the hyperspace of E in terms of the packing dimension of E itself.
Cite as

Jack H. Lutz, Neil Lutz, and Elvira Mayordomo. Extending the Reach of the Point-To-Set Principle. In 39th International Symposium on Theoretical Aspects of Computer Science (STACS 2022). Leibniz International Proceedings in Informatics (LIPIcs), Volume 219, pp. 48:1-48:14, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2022)

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@InProceedings{lutz_et_al:LIPIcs.STACS.2022.48,
  author =	{Lutz, Jack H. and Lutz, Neil and Mayordomo, Elvira},
  title =	{{Extending the Reach of the Point-To-Set Principle}},
  booktitle =	{39th International Symposium on Theoretical Aspects of Computer Science (STACS 2022)},
  pages =	{48:1--48:14},
  series =	{Leibniz International Proceedings in Informatics (LIPIcs)},
  ISBN =	{978-3-95977-222-8},
  ISSN =	{1868-8969},
  year =	{2022},
  volume =	{219},
  editor =	{Berenbrink, Petra and Monmege, Benjamin},
  publisher =	{Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.STACS.2022.48},
  URN =		{urn:nbn:de:0030-drops-158585},
  doi =		{10.4230/LIPIcs.STACS.2022.48},
  annote =	{Keywords: algorithmic dimensions, geometric measure theory, hyperspace, point-to-set principle}
}
Document
DOI: 10.4230/LIPIcs.STACS.2020.51
Asymptotic Divergences and Strong Dichotomy

Authors: Xiang Huang, Jack H. Lutz, Elvira Mayordomo, and Donald M. Stull

Published in: LIPIcs, Volume 154, 37th International Symposium on Theoretical Aspects of Computer Science (STACS 2020)

Abstract
The Schnorr-Stimm dichotomy theorem [Schnorr and Stimm, 1972] concerns finite-state gamblers that bet on infinite sequences of symbols taken from a finite alphabet Σ. The theorem asserts that, for any such sequence S, the following two things are true. (1) If S is not normal in the sense of Borel (meaning that every two strings of equal length appear with equal asymptotic frequency in S), then there is a finite-state gambler that wins money at an infinitely-often exponential rate betting on S. (2) If S is normal, then any finite-state gambler betting on S loses money at an exponential rate betting on S. In this paper we use the Kullback-Leibler divergence to formulate the lower asymptotic divergence div(S||α) of a probability measure α on Σ from a sequence S over Σ and the upper asymptotic divergence Div(S||α) of α from S in such a way that a sequence S is α-normal (meaning that every string w has asymptotic frequency α(w) in S) if and only if Div(S||α)=0. We also use the Kullback-Leibler divergence to quantify the total risk Risk_G(w) that a finite-state gambler G takes when betting along a prefix w of S. Our main theorem is a strong dichotomy theorem that uses the above notions to quantify the exponential rates of winning and losing on the two sides of the Schnorr-Stimm dichotomy theorem (with the latter routinely extended from normality to α-normality). Modulo asymptotic caveats in the paper, our strong dichotomy theorem says that the following two things hold for prefixes w of S. (1') The infinitely-often exponential rate of winning in 1 is 2^{Div(S||α)|w|}. (2') The exponential rate of loss in 2 is 2^{-Risk_G(w)}. We also use (1') to show that 1-Div(S||α)/c, where c= log(1/ min_{a∈Σ} α(a)), is an upper bound on the finite-state α-dimension of S and prove the dual fact that 1-div(S||α)/c is an upper bound on the finite-state strong α-dimension of S.
Cite as

Xiang Huang, Jack H. Lutz, Elvira Mayordomo, and Donald M. Stull. Asymptotic Divergences and Strong Dichotomy. In 37th International Symposium on Theoretical Aspects of Computer Science (STACS 2020). Leibniz International Proceedings in Informatics (LIPIcs), Volume 154, pp. 51:1-51:15, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2020)

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@InProceedings{huang_et_al:LIPIcs.STACS.2020.51,
  author =	{Huang, Xiang and Lutz, Jack H. and Mayordomo, Elvira and Stull, Donald M.},
  title =	{{Asymptotic Divergences and Strong Dichotomy}},
  booktitle =	{37th International Symposium on Theoretical Aspects of Computer Science (STACS 2020)},
  pages =	{51:1--51:15},
  series =	{Leibniz International Proceedings in Informatics (LIPIcs)},
  ISBN =	{978-3-95977-140-5},
  ISSN =	{1868-8969},
  year =	{2020},
  volume =	{154},
  editor =	{Paul, Christophe and Bl\"{a}ser, Markus},
  publisher =	{Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.STACS.2020.51},
  URN =		{urn:nbn:de:0030-drops-119125},
  doi =		{10.4230/LIPIcs.STACS.2020.51},
  annote =	{Keywords: finite-state dimension, finite-state gambler, Kullback-Leibler divergence, normal sequences}
}
Document
DOI: 10.4230/DagRep.2.1.19
Computability, Complexity and Randomness (Dagstuhl Seminar 12021)

Authors: Veronica Becher, Laurent Bienvenu, Rodney Downey, and Elvira Mayordomo

Published in: Dagstuhl Reports, Volume 2, Issue 1 (2012)

Abstract
Research on the notions of information and randomness has drawn on methods and ideas from computability theory and cumputational complexity, as well as core mathematical subjects like measure theory and information theory. The Dagstuhl seminar 12021 ``Computability, Complexity and Randomness'' was aimed to meet people and ideas in these areas to share new results and discuss open problems. This report collects the material presented during the course of the seminar.
Cite as

Veronica Becher, Laurent Bienvenu, Rodney Downey, and Elvira Mayordomo. Computability, Complexity and Randomness (Dagstuhl Seminar 12021). In Dagstuhl Reports, Volume 2, Issue 1, pp. 19-38, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2012)

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@Article{becher_et_al:DagRep.2.1.19,
  author =	{Becher, Veronica and Bienvenu, Laurent and Downey, Rodney and Mayordomo, Elvira},
  title =	{{Computability, Complexity and Randomness (Dagstuhl Seminar 12021)}},
  pages =	{19--38},
  journal =	{Dagstuhl Reports},
  ISSN =	{2192-5283},
  year =	{2012},
  volume =	{2},
  number =	{1},
  editor =	{Becher, Veronica and Bienvenu, Laurent and Downey, Rodney and Mayordomo, Elvira},
  publisher =	{Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{https://drops.dagstuhl.de/entities/document/10.4230/DagRep.2.1.19},
  URN =		{urn:nbn:de:0030-drops-34555},
  doi =		{10.4230/DagRep.2.1.19},
  annote =	{Keywords: algorithmic randomness, computability theory, computationl complexity, Kolmogorov complexity, algorithmic information theory}
}
Document
DOI: 10.4230/LIPIcs.STACS.2010.2471
Inseparability and Strong Hypotheses for Disjoint NP Pairs

Authors: Lance Fortnow, Jack H. Lutz, and Elvira Mayordomo

Published in: LIPIcs, Volume 5, 27th International Symposium on Theoretical Aspects of Computer Science (2010)

Abstract
This paper investigates the existence of inseparable disjoint pairs of NP languages and related strong hypotheses in computational complexity. Our main theorem says that, if NP does not have measure 0 in EXP, then there exist disjoint pairs of NP languages that are P-inseparable, in fact TIME(2(n k))-inseparable. We also relate these conditions to strong hypotheses concerning randomness and genericity of disjoint pairs.
Cite as

Lance Fortnow, Jack H. Lutz, and Elvira Mayordomo. Inseparability and Strong Hypotheses for Disjoint NP Pairs. In 27th International Symposium on Theoretical Aspects of Computer Science. Leibniz International Proceedings in Informatics (LIPIcs), Volume 5, pp. 395-404, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2010)

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@InProceedings{fortnow_et_al:LIPIcs.STACS.2010.2471,
  author =	{Fortnow, Lance and Lutz, Jack H. and Mayordomo, Elvira},
  title =	{{Inseparability and Strong Hypotheses for Disjoint NP Pairs}},
  booktitle =	{27th International Symposium on Theoretical Aspects of Computer Science},
  pages =	{395--404},
  series =	{Leibniz International Proceedings in Informatics (LIPIcs)},
  ISBN =	{978-3-939897-16-3},
  ISSN =	{1868-8969},
  year =	{2010},
  volume =	{5},
  editor =	{Marion, Jean-Yves and Schwentick, Thomas},
  publisher =	{Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.STACS.2010.2471},
  URN =		{urn:nbn:de:0030-drops-24711},
  doi =		{10.4230/LIPIcs.STACS.2010.2471},
  annote =	{Keywords: Computational Complexity, Disjoint NP-pairs, Resource-Bounded Measure, Genericity}
}
Document
DOI: 10.4230/OASIcs.CCA.2009.2267
Curves That Must Be Retraced

Authors: Xiaoyang Gu, Jack H. Lutz, and Elvira Mayordomo

Published in: OASIcs, Volume 11, 6th International Conference on Computability and Complexity in Analysis (CCA'09) (2009)

Abstract
We exhibit a polynomial time computable plane curve ${\bf \Gamma}$ that has finite length, does not intersect itself, and is smooth except at one endpoint, but has the following property. For every computable parametrization $f$ of ${\bf\Gamma}$ and every positive integer $m$, there is some positive-length subcurve of ${\bf\Gamma}$ that $f$ retraces at least $m$ times. In contrast, every computable curve of finite length that does not intersect itself has a constant-speed (hence non-retracing) parametrization that is computable relative to the halting problem.
Cite as

Xiaoyang Gu, Jack H. Lutz, and Elvira Mayordomo. Curves That Must Be Retraced. In 6th International Conference on Computability and Complexity in Analysis (CCA'09). Open Access Series in Informatics (OASIcs), Volume 11, pp. 149-160, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2009)

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@InProceedings{gu_et_al:OASIcs.CCA.2009.2267,
  author =	{Gu, Xiaoyang and Lutz, Jack H. and Mayordomo, Elvira},
  title =	{{Curves That Must Be Retraced}},
  booktitle =	{6th International Conference on Computability and Complexity in Analysis (CCA'09)},
  pages =	{149--160},
  series =	{Open Access Series in Informatics (OASIcs)},
  ISBN =	{978-3-939897-12-5},
  ISSN =	{2190-6807},
  year =	{2009},
  volume =	{11},
  editor =	{Bauer, Andrej and Hertling, Peter and Ko, Ker-I},
  publisher =	{Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{https://drops.dagstuhl.de/entities/document/10.4230/OASIcs.CCA.2009.2267},
  URN =		{urn:nbn:de:0030-drops-22674},
  doi =		{10.4230/OASIcs.CCA.2009.2267},
  annote =	{Keywords: Computable analysis, computable curve, computational complexity, Hausdorff measure, rectifiable curve}
}
Document
DOI: 10.4230/LIPIcs.STACS.2008.1332
Pushdown Compression

Authors: Pilar Albert, Elvira Mayordomo, Philip Moser, and Sylvain Perifel

Published in: LIPIcs, Volume 1, 25th International Symposium on Theoretical Aspects of Computer Science (2008)

Abstract
The pressing need for efficient compression schemes for XML documents has recently been focused on stack computation (Hariharan and Shankar 2006, League and Eng 2007), and in particular calls for a formulation of information-lossless stack or pushdown compressors that allows a formal analysis of their performance and a more ambitious use of the stack in XML compression, where so far it is mainly connected to parsing mechanisms. In this paper we introduce the model of pushdown compressor, based on pushdown transducers that compute a single injective function while keeping the widest generality regarding stack computation. The celebrated Lempel-Ziv algorithm LZ78 was introduced as a general purpose compression algorithm that outperforms finite-state compressors on all sequences. We compare the performance of the Lempel-Ziv algorithm with that of the pushdown compressors, or compression algorithms that can be implemented with a pushdown transducer. This comparison is made without any a priori assumption on the data's source and considering the asymptotic compression ratio for infinite sequences. We prove that Lempel-Ziv is incomparable with pushdown compressors.
Cite as

Pilar Albert, Elvira Mayordomo, Philip Moser, and Sylvain Perifel. Pushdown Compression. In 25th International Symposium on Theoretical Aspects of Computer Science. Leibniz International Proceedings in Informatics (LIPIcs), Volume 1, pp. 39-48, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2008)

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@InProceedings{albert_et_al:LIPIcs.STACS.2008.1332,
  author =	{Albert, Pilar and Mayordomo, Elvira and Moser, Philip and Perifel, Sylvain},
  title =	{{Pushdown Compression}},
  booktitle =	{25th International Symposium on Theoretical Aspects of Computer Science},
  pages =	{39--48},
  series =	{Leibniz International Proceedings in Informatics (LIPIcs)},
  ISBN =	{978-3-939897-06-4},
  ISSN =	{1868-8969},
  year =	{2008},
  volume =	{1},
  editor =	{Albers, Susanne and Weil, Pascal},
  publisher =	{Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.STACS.2008.1332},
  URN =		{urn:nbn:de:0030-drops-13327},
  doi =		{10.4230/LIPIcs.STACS.2008.1332},
  annote =	{Keywords: Finite-state compression, Lempel-Ziv algorithm, pumping-lemma, pushdown compression, XML document}
}
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