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Documents authored by Hemaspaandra, Lane A.

Document
DOI: 10.4230/LIPIcs.MFCS.2022.57
Gaps, Ambiguity, and Establishing Complexity-Class Containments via Iterative Constant-Setting

Authors: Lane A. Hemaspaandra, Mandar Juvekar, Arian Nadjimzadah, and Patrick A. Phillips

Published in: LIPIcs, Volume 241, 47th International Symposium on Mathematical Foundations of Computer Science (MFCS 2022)

Abstract
Cai and Hemachandra used iterative constant-setting to prove that Few ⊆ ⊕ P (and thus that FewP ⊆ ⊕ P). In this paper, we note that there is a tension between the nondeterministic ambiguity of the class one is seeking to capture, and the density (or, to be more precise, the needed "nongappy"-ness) of the easy-to-find "targets" used in iterative constant-setting. In particular, we show that even less restrictive gap-size upper bounds regarding the targets allow one to capture ambiguity-limited classes. Through a flexible, metatheorem-based approach, we do so for a wide range of classes including the logarithmic-ambiguity version of Valiant’s unambiguous nondeterminism class UP. Our work lowers the bar for what advances regarding the existence of infinite, P-printable sets of primes would suffice to show that restricted counting classes based on the primes have the power to accept superconstant-ambiguity analogues of UP. As an application of our work, we prove that the Lenstra-Pomerance-Wagstaff Conjecture implies that all O(log log n)-ambiguity NP sets are in the restricted counting class RC_PRIMES.
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Lane A. Hemaspaandra, Mandar Juvekar, Arian Nadjimzadah, and Patrick A. Phillips. Gaps, Ambiguity, and Establishing Complexity-Class Containments via Iterative Constant-Setting. In 47th International Symposium on Mathematical Foundations of Computer Science (MFCS 2022). Leibniz International Proceedings in Informatics (LIPIcs), Volume 241, pp. 57:1-57:15, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2022)

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@InProceedings{hemaspaandra_et_al:LIPIcs.MFCS.2022.57,
  author =	{Hemaspaandra, Lane A. and Juvekar, Mandar and Nadjimzadah, Arian and Phillips, Patrick A.},
  title =	{{Gaps, Ambiguity, and Establishing Complexity-Class Containments via Iterative Constant-Setting}},
  booktitle =	{47th International Symposium on Mathematical Foundations of Computer Science (MFCS 2022)},
  pages =	{57:1--57:15},
  series =	{Leibniz International Proceedings in Informatics (LIPIcs)},
  ISBN =	{978-3-95977-256-3},
  ISSN =	{1868-8969},
  year =	{2022},
  volume =	{241},
  editor =	{Szeider, Stefan and Ganian, Robert and Silva, Alexandra},
  publisher =	{Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{https://drops-dev.dagstuhl.de/entities/document/10.4230/LIPIcs.MFCS.2022.57},
  URN =		{urn:nbn:de:0030-drops-168552},
  doi =		{10.4230/LIPIcs.MFCS.2022.57},
  annote =	{Keywords: structural complexity theory, computational complexity theory, ambiguity-limited NP, counting classes, P-printable sets}
}
Document
DOI: 10.4230/LIPIcs.MFCS.2018.51
The Robustness of LWPP and WPP, with an Application to Graph Reconstruction

Authors: Edith Hemaspaandra, Lane A. Hemaspaandra, Holger Spakowski, and Osamu Watanabe

Published in: LIPIcs, Volume 117, 43rd International Symposium on Mathematical Foundations of Computer Science (MFCS 2018)

Abstract
We show that the counting class LWPP [S. Fenner et al., 1994] remains unchanged even if one allows a polynomial number of gap values rather than one. On the other hand, we show that it is impossible to improve this from polynomially many gap values to a superpolynomial number of gap values by relativizable proof techniques. The first of these results implies that the Legitimate Deck Problem (from the study of graph reconstruction) is in LWPP (and thus low for PP, i.e., PP^{Legitimate Deck} = PP) if the weakened version of the Reconstruction Conjecture holds in which the number of nonisomorphic preimages is assumed merely to be polynomially bounded. This strengthens the 1992 result of Köbler, Schöning, and Torán [J. Köbler et al., 1992] that the Legitimate Deck Problem is in LWPP if the Reconstruction Conjecture holds, and provides strengthened evidence that the Legitimate Deck Problem is not NP-hard. We additionally show on the one hand that our main LWPP robustness result also holds for WPP, and also holds even when one allows both the rejection- and acceptance- gap-value targets to simultaneously be polynomial-sized lists; yet on the other hand, we show that for the #P-based analog of LWPP the behavior much differs in that, in some relativized worlds, even two target values already yield a richer class than one value does.
Cite as

Edith Hemaspaandra, Lane A. Hemaspaandra, Holger Spakowski, and Osamu Watanabe. The Robustness of LWPP and WPP, with an Application to Graph Reconstruction. In 43rd International Symposium on Mathematical Foundations of Computer Science (MFCS 2018). Leibniz International Proceedings in Informatics (LIPIcs), Volume 117, pp. 51:1-51:14, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2018)

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@InProceedings{hemaspaandra_et_al:LIPIcs.MFCS.2018.51,
  author =	{Hemaspaandra, Edith and Hemaspaandra, Lane A. and Spakowski, Holger and Watanabe, Osamu},
  title =	{{The Robustness of LWPP and WPP, with an Application to Graph Reconstruction}},
  booktitle =	{43rd International Symposium on Mathematical Foundations of Computer Science (MFCS 2018)},
  pages =	{51:1--51:14},
  series =	{Leibniz International Proceedings in Informatics (LIPIcs)},
  ISBN =	{978-3-95977-086-6},
  ISSN =	{1868-8969},
  year =	{2018},
  volume =	{117},
  editor =	{Potapov, Igor and Spirakis, Paul and Worrell, James},
  publisher =	{Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{https://drops-dev.dagstuhl.de/entities/document/10.4230/LIPIcs.MFCS.2018.51},
  URN =		{urn:nbn:de:0030-drops-96330},
  doi =		{10.4230/LIPIcs.MFCS.2018.51},
  annote =	{Keywords: structural complexity theory, robustness of counting classes, the legitimate deck problem, PP-lowness, the Reconstruction Conjecture}
}
Document
DOI: 10.4230/LIPIcs.STACS.2013.377
Search versus Decision for Election Manipulation Problems

Authors: Edith Hemaspaandra, Lane A. Hemaspaandra, and Curtis Menton

Published in: LIPIcs, Volume 20, 30th International Symposium on Theoretical Aspects of Computer Science (STACS 2013)

Abstract
Most theoretical definitions about the complexity of manipulating elections focus on the decision problem of recognizing which instances can be successfully manipulated, rather than the search problem of finding the successful manipulative actions. Since the latter is a far more natural goal for manipulators, that definitional focus may be misguided if these two complexities can differ. Our main result is that they probably do differ: If integer factoring is hard, then for election manipulation, election bribery, and some types of election control, there are election systems for which recognizing which instances can be successfully manipulated is in polynomial time but producing the successful manipulations cannot be done in polynomial time.
Cite as

Edith Hemaspaandra, Lane A. Hemaspaandra, and Curtis Menton. Search versus Decision for Election Manipulation Problems. In 30th International Symposium on Theoretical Aspects of Computer Science (STACS 2013). Leibniz International Proceedings in Informatics (LIPIcs), Volume 20, pp. 377-388, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2013)

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@InProceedings{hemaspaandra_et_al:LIPIcs.STACS.2013.377,
  author =	{Hemaspaandra, Edith and Hemaspaandra, Lane A. and Menton, Curtis},
  title =	{{Search versus Decision for Election Manipulation Problems}},
  booktitle =	{30th International Symposium on Theoretical Aspects of Computer Science (STACS 2013)},
  pages =	{377--388},
  series =	{Leibniz International Proceedings in Informatics (LIPIcs)},
  ISBN =	{978-3-939897-50-7},
  ISSN =	{1868-8969},
  year =	{2013},
  volume =	{20},
  editor =	{Portier, Natacha and Wilke, Thomas},
  publisher =	{Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{https://drops-dev.dagstuhl.de/entities/document/10.4230/LIPIcs.STACS.2013.377},
  URN =		{urn:nbn:de:0030-drops-39498},
  doi =		{10.4230/LIPIcs.STACS.2013.377},
  annote =	{Keywords: Search vs. decision, application of structural complexity theory}
}
Document
DOI: 10.4230/DagSemProc.10101.1
10101 Abstracts Collection – Computational Foundations of Social Choice

Authors: Felix Brandt, Vincent Conitzer, Lane A. Hemaspaandra, Jean-Francois Laslier, and William S. Zwicker

Published in: Dagstuhl Seminar Proceedings, Volume 10101, Computational Foundations of Social Choice (2010)

Abstract
From March 7 to March 12, 2010, the Dagstuhl Seminar 10101 ``Computational Foundations of Social Choice '' was held in Schloss Dagstuhl~--~Leibniz Center for Informatics. During the seminar, several participants presented their current research, and ongoing work and open problems were discussed. Abstracts of the presentations given during the seminar as well as abstracts of seminar results and ideas are put together in this paper. The first section describes the seminar topics and goals in general. Links to extended abstracts or full papers are provided, if available.
Cite as

Felix Brandt, Vincent Conitzer, Lane A. Hemaspaandra, Jean-Francois Laslier, and William S. Zwicker. 10101 Abstracts Collection – Computational Foundations of Social Choice. In Computational Foundations of Social Choice. Dagstuhl Seminar Proceedings, Volume 10101, pp. 1-18, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2010)

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@InProceedings{brandt_et_al:DagSemProc.10101.1,
  author =	{Brandt, Felix and Conitzer, Vincent and Hemaspaandra, Lane A. and Laslier, Jean-Francois and Zwicker, William S.},
  title =	{{10101 Abstracts Collection – Computational Foundations of Social Choice}},
  booktitle =	{Computational Foundations of Social Choice},
  pages =	{1--18},
  series =	{Dagstuhl Seminar Proceedings (DagSemProc)},
  ISSN =	{1862-4405},
  year =	{2010},
  volume =	{10101},
  editor =	{Felix Brandt and Vincent Conitzer and Lane A. Hemaspaandra and Jean-Francois Laslier and William S. Zwicker},
  publisher =	{Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{https://drops-dev.dagstuhl.de/entities/document/10.4230/DagSemProc.10101.1},
  URN =		{urn:nbn:de:0030-drops-25644},
  doi =		{10.4230/DagSemProc.10101.1},
  annote =	{Keywords: Social Choice Theory, Voting, Fair Division, Algorithms, Computational Complexity, Multiagent Systems}
}
Document
DOI: 10.4230/DagSemProc.10101.2
10101 Executive Summary – Computational Foundations of Social Choice

Authors: Felix Brandt, Vincent Conitzer, Lane A. Hemaspaandra, Jean-Francois Laslier, and William S. Zwicker

Published in: Dagstuhl Seminar Proceedings, Volume 10101, Computational Foundations of Social Choice (2010)

Abstract
This seminar addressed some of the key issues in computational social choice, a novel interdisciplinary field of study at the interface of social choice theory and computer science. Computational social choice is concerned with the application of computational techniques to the study of social choice mechanisms, such as voting rules and fair division protocols, as well as with the integration of social choice paradigms into computing. The seminar brought together many of the most active researchers in the field and focussed the research community currently forming around these important and exciting topics.
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Felix Brandt, Vincent Conitzer, Lane A. Hemaspaandra, Jean-Francois Laslier, and William S. Zwicker. 10101 Executive Summary – Computational Foundations of Social Choice. In Computational Foundations of Social Choice. Dagstuhl Seminar Proceedings, Volume 10101, pp. 1-2, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2010)

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@InProceedings{brandt_et_al:DagSemProc.10101.2,
  author =	{Brandt, Felix and Conitzer, Vincent and Hemaspaandra, Lane A. and Laslier, Jean-Francois and Zwicker, William S.},
  title =	{{10101 Executive Summary – Computational Foundations of Social Choice}},
  booktitle =	{Computational Foundations of Social Choice},
  pages =	{1--2},
  series =	{Dagstuhl Seminar Proceedings (DagSemProc)},
  ISSN =	{1862-4405},
  year =	{2010},
  volume =	{10101},
  editor =	{Felix Brandt and Vincent Conitzer and Lane A. Hemaspaandra and Jean-Francois Laslier and William S. Zwicker},
  publisher =	{Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{https://drops-dev.dagstuhl.de/entities/document/10.4230/DagSemProc.10101.2},
  URN =		{urn:nbn:de:0030-drops-25637},
  doi =		{10.4230/DagSemProc.10101.2},
  annote =	{Keywords: Social Choice Theory, Voting, Fair Division, Algorithms, Computational Complexity, Multiagent Systems}
}
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