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Timon Hertli

dblp:87/8575 · DBLP profile ↗
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5ranked-venue papers
5as first author
0since 2021 · last 2016
—ORCID · none

Domains — the database's venue-derived domains; a paper can count in several

Theory of computation · 4 · 4 first-authorArtificial intelligence and machine learning · 1 · 1 first-authorSoftware engineering, systems software and programming languages · 1 · 1 first-author

Expertise — from the expertise taxonomy: the topics of the expert's papers under the CCF categories. A weight counts papers with recency: 1 for a paper about the topic, 0.3 when the topic is its context, halved every five years.

Theoretical computer science
3 papers
Automated reasoning and model checking · 52% Algorithms and data structures · 37% Computational complexity · 11%

Topics — the 7 heaviest of 7, each with the papers that count most for it

TopicWeightPapersLastEvidence papers
Automated reasoning and model checking
satisfiability
0.422014
3-SAT Faster and Simpler - Unique-SAT Bounds for PPSZ Hold in General · SIAM J. Comput. 2014
Breaking the PPSZ Barrier for Unique 3-SAT · ICALP (1) 2014
Algorithms and data structures
exact exponential algorithms
0.432014
3-SAT Faster and Simpler - Unique-SAT Bounds for PPSZ Hold in General · SIAM J. Comput. 2014
3-SAT Faster and Simpler - Unique-SAT Bounds for PPSZ Hold in General · FOCS 2011
Breaking the PPSZ Barrier for Unique 3-SAT · ICALP (1) 2014
Automated reasoning and model checking › satisfiability
k-SAT
0.322014
3-SAT Faster and Simpler - Unique-SAT Bounds for PPSZ Hold in General · SIAM J. Comput. 2014
3-SAT Faster and Simpler - Unique-SAT Bounds for PPSZ Hold in General · FOCS 2011
Automated reasoning and model checking › satisfiability › k-SAT
3-SAT
0.212014
3-SAT Faster and Simpler - Unique-SAT Bounds for PPSZ Hold in General · SIAM J. Comput. 2014
Computational complexity › constraint satisfaction › SAT
Unique 3-SAT
0.212014
Breaking the PPSZ Barrier for Unique 3-SAT · ICALP (1) 2014
Algorithms and data structures › exact exponential algorithms
PPSZ algorithm
0.112011
3-SAT Faster and Simpler - Unique-SAT Bounds for PPSZ Hold in General · FOCS 2011
Algorithms and data structures › exact algorithms
satisfiability algorithms
0.112011
3-SAT Faster and Simpler - Unique-SAT Bounds for PPSZ Hold in General · FOCS 2011

Methods — techniques the papers use, named apart from their topics

PPSZ algorithm · 0.4probabilistic analysis · 0.1cost function analysis · 0.1
YearPublicationVenuePosition
2016 The PPSZ Algorithm for Constraint Satisfaction Problems on More Than Two Colors
Timon Hertli, Isabelle Hurbain, Sebastian Millius, Robin A. Moser, Dominik Scheder, May Szedlák
CP1
2014 Breaking the PPSZ Barrier for Unique 3-SAT
Timon Hertli
ICALP (1)1
2014 3-SAT Faster and Simpler - Unique-SAT Bounds for PPSZ Hold in General
abstract
The PPSZ algorithm by Paturi, Pudlák, Saks, and Zane [J. ACM, 52 (2005), pp. 337--364] is the fastest known algorithm for Unique $k$-SAT, where the input formula does not have more than one satisfying assignment. For $k\geq 5$ the same bounds hold for general $k$-SAT. We show that this is also the case for k=3,4, using a slightly modified PPSZ algorithm. We do the analysis by defining a cost for satisfiable conjunctive normal form formulas, which we prove to decrease in each PPSZ step by a certain amount. This improves our previous best bounds with Moser and Scheder [Proceedings of STACS, 2011, pp. 237--248] for 3-SAT to $O(1.308^n)$ and for 4-SAT to $O(1.469^n)$. Furthermore, our analysis is much simpler than the existing analysis of PPSZ for general $k$-SAT.
Timon Hertli
SIAM J. Comput.1
2011 3-SAT Faster and Simpler - Unique-SAT Bounds for PPSZ Hold in General
abstract
The PPSZ algorithm by Paturi, Pudlák, Saks, and Zane [1998] is the fastest known algorithm for Unique k-SAT, where the input formula does not have more than one satisfying assignment. For k≥5 the same bounds hold for general k-SAT. We show that this is also the case for k=3,4, using a slightly modified PPSZ algorithm. We do the analysis by defining a cost for satisfiable CNF formulas, which we prove to decrease in each PPSZ step by a certain amount. This improves our previous best bounds with Moser and Scheder [2011] for 3-SAT to O(1.308") and for 4-SAT to O(1.469").
Timon Hertli
FOCS1
2011 Improving PPSZ for 3-SAT using Critical Variables
Timon Hertli, Robin A. Moser, Dominik Scheder
STACS1