@phdthesis{Baier1998,
  author    = {Baier, Herbert},
  title     = {Operators of Higher Order},
  publisher = {Shaker Verlag},
  isbn      = {3-8265-4008-5},
  url       = {http://nbn-resolving.de/urn:nbn:de:bvb:20-opus-140799},
  school      = {Universit{\"a}t W{\"u}rzburg},
  pages     = {V, 95},
  year      = {1998},
  abstract  = {Motivated by results on interactive proof systems we investigate the computational power of quantifiers applied to well-known complexity classes. In special, we are interested in existential, universal and probabilistic bounded error quantifiers ranging over words and sets of words, i.e. oracles if we think in a Turing machine model. In addition to the standard oracle access mechanism, we also consider quantifiers ranging over oracles to which access is restricted in a certain way.},
  subject      = {Komplexit{\"a}tstheorie},
  language  = {en}
}
@phdthesis{Schmitz2000,
  author    = {Schmitz, Heinz},
  title     = {The Forbidden Pattern Approach to Concatenation Hierarchies},
  url       = {http://nbn-resolving.de/urn:nbn:de:bvb:20-opus-2832},
  school      = {Universit{\"a}t W{\"u}rzburg},
  year      = {2000},
  abstract  = {The thesis looks at the question asking for the computability of the dot-depth of star-free regular languages. Here one has to determine for a given star-free regular language the minimal number of alternations between concatenation on one hand, and intersection, union, complement on the other hand. This question was first raised in 1971 (Brzozowski/Cohen) and besides the extended star-heights problem usually refered to as one of the most difficult open questions on regular languages. The dot-depth problem can be captured formally by hierarchies of classes of star-free regular languages B(0), B(1/2), B(1), B(3/2),... and L(0), L(1/2), L(1), L(3/2),.... which are defined via alternating the closure under concatenation and Boolean operations, beginning with single alphabet letters. Now the question of dot-depth is the question whether these hierarchy classes have decidable membership problems. The thesis makes progress on this question using the so-called forbidden pattern approach: Classes of regular languages are characterized in terms of patterns in finite automata (subgraphs in the transition graph) that are not allowed. Such a characterization immediately implies the decidability of the respective class, since the absence of a certain pattern in a given automaton can be effectively verified. Before this work, the decidability of B(0), B(1/2), B(1) and L(0), L(1/2), L(1), L(3/2) were known. Here a detailed study of these classes with help of forbidden patterns is given which leads to new insights into their inner structure. Furthermore, the decidability of B(3/2) is proven. Based on these results a theory of pattern iteration is developed which leads to the introduction of two new hierarchies of star-free regular languages. These hierarchies are decidable on one hand, on the other hand they are in close connection to the classes B(n) and L(n). It remains an open question here whether they may in fact coincide. Some evidence is given in favour of this conjecture which opens a new way to attack the dot-depth problem. Moreover, it is shown that the class L(5/2) is decidable in the restricted case of a two-letter alphabet.},
  subject      = {Sternfreie Sprache},
  language  = {en}
}
@phdthesis{Kluegl2000,
  author    = {Kl{\"u}gl, Franziska},
  title     = {Aktivit{\"a}tsbasierte Verhaltensmodellierung und ihre Unterst{\"u}tzung bei Multiagentensimulationen},
  url       = {http://nbn-resolving.de/urn:nbn:de:bvb:20-opus-2874},
  school      = {Universit{\"a}t W{\"u}rzburg},
  year      = {2000},
  abstract  = {Durch Zusammenf{\"u}hrung traditioneller Methoden zur individuenbasierten Simulation und dem Konzept der Multiagentensysteme steht mit der Multiagentensimulation eine Methodik zur Verf{\"u}gung, die es erm{\"o}glicht, sowohl technisch als auch konzeptionell eine neue Ebene an Detaillierung bei Modellbildung und Simulation zu erreichen. Ein Modell beruht dabei auf dem Konzept einer Gesellschaft: Es besteht aus einer Menge interagierender, aber in ihren Entscheidungen autonomen Einheiten, den Agenten. Diese {\"a}ndern durch ihre Aktionen ihre Umwelt und reagieren ebenso auf die f{\"u}r sie wahrnehmbaren {\"A}nderungen in der Umwelt. Durch die Simulation jedes Agenten zusammen mit der Umwelt, in der er "lebt", wird die Dynamik im Gesamtsystem beobachtbar. In der vorliegenden Dissertation wurde ein Repr{\"a}sentationsschema f{\"u}r Multiagentensimulationen entwickelt werden, das es Fachexperten, wie zum Beispiel Biologen, erm{\"o}glicht, selbst{\"a}ndig ohne traditionelles Programmieren Multiagentenmodelle zu implementieren und mit diesen Experimente durchzuf{\"u}hren. Dieses deklarative Schema beruht auf zwei Basiskonzepten: Der K{\"o}rper eines Agenten besteht aus Zustandsvariablen. Das Verhalten des Agenten kann mit Regeln beschrieben werden. Ausgehend davon werden verschiedene Strukturierungsans{\"a}tze behandelt. Das wichtigste Konzept ist das der "Aktivit{\"a}t", einer Art "Verhaltenszustand": W{\"a}hrend der Agent in einer Aktivit{\"a}t A verweilt, f{\"u}hrt er die zugeh{\"o}rigen Aktionen aus und dies solange, bis eine Regel feuert, die diese Aktivit{\"a}t beendet und eine neue Aktivit{\"a}t ausw{\"a}hlt. Durch Indizierung dieser Regeln bei den zugeh{\"o}rigen Aktivit{\"a}ten und Einf{\"u}hrung von abstrakten Aktivit{\"a}ten entsteht ein Schema f{\"u}r eine vielf{\"a}ltig strukturierbare Verhaltensbeschreibung. Zu diesem Schema wurde ein Interpreter entwickelt, der ein derartig repr{\"a}sentiertes Modell ausf{\"u}hrt und so Simulationsexperimente mit dem Multiagentenmodell erlaubt. Auf dieser Basis wurde die Modellierungs- und Experimentierumgebung SeSAm ("Shell f{\"u}r Simulierte Agentensysteme") entwickelt. Sie verwendet vorhandene Konzepte aus dem visuellen Programmieren. Mit dieser Umgebung wurden Anwendungsmodelle aus verschiedenen Dom{\"a}nen realisiert: Neben abstrakten Spielbeispielen waren dies vor allem Fragestellungen zu sozialen Insekten, z.B. zum Verhalten von Ameisen, Bienen oder der Interaktion zwischen Bienenv{\"o}lkern und Milbenpopulationen.},
  subject      = {Agent <Informatik>},
  language  = {de}
}
@phdthesis{Reith2001,
  author    = {Reith, Steffen},
  title     = {Generalized Satisfiability Problems},
  url       = {http://nbn-resolving.de/urn:nbn:de:bvb:20-opus-74},
  school      = {Universit{\"a}t W{\"u}rzburg},
  year      = {2001},
  abstract  = {In the last 40 years, complexity theory has grown to a rich and powerful field in theoretical computer science. The main task of complexity theory is the classification of problems with respect to their consumption of resources (e.g., running time or required memory). To study the computational complexity (i.e., consumption of resources) of problems, similar problems are grouped into so called complexity classes. During the systematic study of numerous problems of practical relevance, no efficient algorithm for a great number of studied problems was found. Moreover, it was unclear whether such algorithms exist. A major breakthrough in this situation was the introduction of the complexity classes P and NP and the identification of hardest problems in NP. These hardest problems of NP are nowadays known as NP-complete problems. One prominent example of an NP-complete problem is the satisfiability problem of propositional formulas (SAT). Here we get a propositional formula as an input and it must be decided whether an assignment for the propositional variables exists, such that this assignment satisfies the given formula. The intensive study of NP led to numerous related classes, e.g., the classes of the polynomial-time hierarchy PH, P, \#P, PP, NL, L and \#L. During the study of these classes, problems related to propositional formulas were often identified to be complete problems for these classes. Hence some questions arise: Why is SAT so hard to solve? Are there modifications of SAT which are complete for other well-known complexity classes? In the context of these questions a result by E. Post is extremely useful. He identified and characterized all classes of Boolean functions being closed under superposition. It is possible to study problems which are connected to generalized propositional logic by using this result, which was done in this thesis. Hence, many different problems connected to propositional logic were studied and classified with respect to their computational complexity, clearing the borderline between easy and hard problems.},
  subject      = {Erf{\"u}llbarkeitsproblem},
  language  = {en}
}
@phdthesis{Kosub2001,
  author    = {Kosub, Sven},
  title     = {Complexity and Partitions},
  url       = {http://nbn-resolving.de/urn:nbn:de:bvb:20-opus-2808},
  school      = {Universit{\"a}t W{\"u}rzburg},
  year      = {2001},
  abstract  = {Computational complexity theory usually investigates the complexity of sets, i.e., the complexity of partitions into two parts. But often it is more appropriate to represent natural problems by partitions into more than two parts. A particularly interesting class of such problems consists of classification problems for relations. For instance, a binary relation R typically defines a partitioning of the set of all pairs (x,y) into four parts, classifiable according to the cases where R(x,y) and R(y,x) hold, only R(x,y) or only R(y,x) holds or even neither R(x,y) nor R(y,x) is true. By means of concrete classification problems such as Graph Embedding or Entailment (for propositional logic), this thesis systematically develops tools, in shape of the boolean hierarchy of NP-partitions and its refinements, for the qualitative analysis of the complexity of partitions generated by NP-relations. The Boolean hierarchy of NP-partitions is introduced as a generalization of the well-known and well-studied Boolean hierarchy (of sets) over NP. Whereas the latter hierarchy has a very simple structure, the situation is much more complicated for the case of partitions into at least three parts. To get an idea of this hierarchy, alternative descriptions of the partition classes are given in terms of finite, labeled lattices. Based on these characterizations the Embedding Conjecture is established providing the complete information on the structure of the hierarchy. This conjecture is supported by several results. A natural extension of the Boolean hierarchy of NP-partitions emerges from the lattice-characterization of its classes by considering partition classes generated by finite, labeled posets. It turns out that all significant ideas translate from the case of lattices. The induced refined Boolean hierarchy of NP-partitions enables us more accuratly capturing the complexity of certain relations (such as Graph Embedding) and a description of projectively closed partition classes.},
  subject      = {Partition <Mengenlehre>},
  language  = {en}
}
@phdthesis{Wirth2001,
  author    = {Wirth, Hans-Christoph},
  title     = {Multicriteria Approximation of Network Design and Network Upgrade Problems},
  url       = {http://nbn-resolving.de/urn:nbn:de:bvb:20-opus-2845},
  school      = {Universit{\"a}t W{\"u}rzburg},
  year      = {2001},
  abstract  = {Network planning has come to great importance during the past decades. Today's telecommunication, traffic systems, and logistics would not have been evolved to the current state without careful analysis of the underlying network problems and precise implementation of the results obtained from those examinations. Graphs with node and arc attributes are a very useful tool to model realistic applications, while on the other hand they are well understood in theory. We investigate network design problems which are motivated particularly from applications in communication networks and logistics. Those problems include the search for homogeneous subgraphs in edge labeled graphs where either the total number of labels or the reload cost are subject to optimize. Further, we investigate some variants of the dial a ride problem. On the other hand, we use node and edge upgrade models to deal with the fact that in many cases one prefers to change existing networks rather than implementing a newly computed solution from scratch. We investigate the construction of bottleneck constrained forests under a node upgrade model, as well as several flow cost problems under a edge based upgrade model. All problems are examined within a framework of multi-criteria optimization. Many of the problems can be shown to be NP-hard, with the consequence that, under the widely accepted assumption that P is not equal to NP, there cannot exist efficient algorithms for solving the problems. This motivates the development of approximation algorithms which compute near-optimal solutions with provable performance guarantee in polynomial time.},
  subject      = {Netzplantechnik},
  language  = {en}
}
@phdthesis{Glasser2001,
  author    = {Glaßer, Christian},
  title     = {Forbidden-Patterns and Word Extensions for Concatenation Hierarchies},
  url       = {http://nbn-resolving.de/urn:nbn:de:bvb:20-1179153},
  school      = {Universit{\"a}t W{\"u}rzburg},
  year      = {2001},
  abstract  = {Starfree regular languages can be build up from alphabet letters by using only Boolean operations and concatenation. The complexity of these languages can be measured with the so-called dot-depth. This measure leads to concatenation hierarchies like the dot-depth hierarchy (DDH) and the closely related Straubing-Th{\´e}rien hierarchy (STH). The question whether the single levels of these hierarchies are decidable is still open and is known as the dot-depth problem. In this thesis we prove/reprove the decidability of some lower levels of both hierarchies. More precisely, we characterize these levels in terms of patterns in finite automata (subgraphs in the transition graph) that are not allowed. Therefore, such characterizations are called forbidden-pattern characterizations. The main results of the thesis are as follows: forbidden-pattern characterization for level 3/2 of the DDH (this implies the decidability of this level) decidability of the Boolean hierarchy over level 1/2 of the DDH definition of decidable hierarchies having close relations to the DDH and STH Moreover, we prove/reprove the decidability of the levels 1/2 and 3/2 of both hierarchies in terms of forbidden-pattern characterizations. We show the decidability of the Boolean hierarchies over level 1/2 of the DDH and over level 1/2 of the STH. A technique which uses word extensions plays the central role in the proofs of these results. With this technique it is possible to treat the levels 1/2 and 3/2 of both hierarchies in a uniform way. Furthermore, it can be used to prove the decidability of the mentioned Boolean hierarchies. Among other things we provide a combinatorial tool that allows to partition words of arbitrary length into factors of bounded length such that every second factor u leads to a loop with label u in a given finite automaton.},
  subject      = {Automatentheorie},
  language  = {en}
}
@phdthesis{Karch2002,
  author    = {Karch, Oliver},
  title     = {Where am I? - Indoor localization based on range measurements},
  url       = {http://nbn-resolving.de/urn:nbn:de:bvb:20-opus-8442},
  school      = {Universit{\"a}t W{\"u}rzburg},
  year      = {2002},
  abstract  = {Nowadays, robotics plays an important role in increasing fields of application. There exist many environments or situations where mobile robots instead of human beings are used, since the tasks are too hazardous, uncomfortable, repetitive, or costly for humans to perform. The autonomy and the mobility of the robot are often essential for a good solution of these problems. Thus, such a robot should at least be able to answer the question "Where am I?". This thesis investigates the problem of self-localizing a robot in an indoor environment using range measurements. That is, a robot equipped with a range sensor wakes up inside a building and has to determine its position using only its sensor data and a map of its environment. We examine this problem from an idealizing point of view (reducing it into a pure geometric one) and further investigate a method of Guibas, Motwani, and Raghavan from the field of computational geometry to solving it. Here, so-called visibility skeletons, which can be seen as coarsened representations of visibility polygons, play a decisive role. In the major part of this thesis we analyze the structures and the occurring complexities in the framework of this scheme. It turns out that the main source of complication are so-called overlapping embeddings of skeletons into the map polygon, for which we derive some restrictive visibility constraints. Based on these results we are able to improve one of the occurring complexity bounds in the sense that we can formulate it with respect to the number of reflex vertices instead of the total number of map vertices. This also affects the worst-case bound on the preprocessing complexity of the method. The second part of this thesis compares the previous idealizing assumptions with the properties of real-world environments and discusses the occurring problems. In order to circumvent these problems, we use the concept of distance functions, which model the resemblance between the sensor data and the map, and appropriately adapt the above method to the needs of realistic scenarios. In particular, we introduce a distance function, namely the polar coordinate metric, which seems to be well suited to the localization problem. Finally, we present the RoLoPro software where most of the discussed algorithms are implemented (including the polar coordinate metric).},
  subject      = {Autonomer Roboter},
  language  = {en}
}
@phdthesis{Hoehn2002,
  author    = {H{\"o}hn, Holger},
  title     = {Multimediale, datenbankgest{\"u}tzte Lehr- und Lernplattformen},
  url       = {http://nbn-resolving.de/urn:nbn:de:bvb:20-opus-4049},
  school      = {Universit{\"a}t W{\"u}rzburg},
  year      = {2002},
  abstract  = {Die Dissertation befaßt sich mit der Entwicklung einer multimedialen, datenbankgest{\"u}tzten Lehr- und Lernplattform. Die entwickelten Module erm{\"o}glichen und erweitern nicht nur die M{\"o}glichkeit des Selbststudiums f{\"u}r den Studenten sondern erleichtern auch die Arbeit der Dozenten. Außerdem wird auch die Zusammenarbeit und der Austausch von Lernobjekten zwischen verschiedenen Institutionen erm{\"o}glicht. In der Lehr- und Lernplattform k{\"o}nnen verschiedene Lernobjekt-Typen verwaltet werden. Exemplarisch wurden die Typen Bilder, 3D-Animationen, Vorlesungen, Lerntexte, Fallbeispiele und Quizelemente integriert. Die Lehr- und Lernplattform besteht aus drei Bausteinen: 1. In der Lernobjekt-Datenbank werden alle Lernobjekt-Typen und Lernobjekte verwaltet. 2. Autorenwerkzeuge dienen zur Erstellung von Lernobjekten. 3. In der Lernplattform werden die Lernobjekte den Studenten zum (Selbst-)Lernen pr{\"a}sentiert. Neben den Vorteilen, die der Einsatz von E-Learning im allgemeinen bietet, wie die flexible Lernorganisation oder die Nutzung von Lerninhalten unabh{\"a}ngig von Ort und Zeit, zeichnet sich die entwickelte Lehr- und Lernplattform besonders durch folgende Punkte aus: Generierung von Lerninhalten h{\"o}herer Qualit{\"a}t durch multizentrische Expertenb{\"u}ndelung und Arbeitsteilung, Erweiterbarkeit auf andere, neue Lernobjekt-Typen, Verwaltbarkeit, Konsistenz, Flexibilit{\"a}t, geringer Verwaltungsaufwand, Navigationsm{\"o}glichkeiten f{\"u}r den Studenten, Personalisierbarkeit und Konformit{\"a}t zu internationalen Standards. Sowohl bei der Modellierung als auch bei der Umsetzung wurde darauf geachtet, m{\"o}glichst gut die Anforderungen der Dermatologie bei gleichzeitiger Erweiterbarkeit auf andere, {\"a}hnliche Szenarien zu erf{\"u}llen. Besonders einfach sollte die Anpassung der Plattform f{\"u}r andere bildorientierte Disziplinen sein.},
  subject      = {Multimedia},
  language  = {de}
}
@phdthesis{Schaefer2003,
  author    = {Sch{\"a}fer, Dirk},
  title     = {Globale Selbstlokalisation autonomer mobiler Roboter - Ein Schl{\"u}sselproblem der Service-Robotik},
  url       = {http://nbn-resolving.de/urn:nbn:de:bvb:20-opus-7601},
  school      = {Universit{\"a}t W{\"u}rzburg},
  year      = {2003},
  abstract  = {Die Dissertation behandelt die Problemstellung der globalen Selbstlokalisation autonomer mobiler Roboter, welche folgendermaßen beschrieben werden kann: Ein mobiler Roboter, eingesetzt in einem Geb{\"a}ude, kann unter Umst{\"a}nden das Wissen {\"u}ber seinen Standort verlieren. Man geht nun davon aus, dass dem Roboter eine Geb{\"a}udekarte als Modell zur Verf{\"u}gung steht. Mit Hilfe eines Laser-Entfernungsmessers kann das mobile Ger{\"a}t neue Informationen aufnehmen und damit bei korrekter Zuordnung zur Modellkarte geeignete hypothetische Standorte ermitteln. In der Regel werden diese Positionen aber mehrdeutig sein. Indem sich der Roboter intelligent in seiner Einsatzumgebung bewegt, kann er die urspr{\"u}nglichen Sensordaten verifizieren und ermittelt im besten Fall seine tats{\"a}chliche Position.F{\"u}r diese Problemstellung wird ein neuer L{\"o}sungsansatz in Theorie und Praxis pr{\"a}sentiert, welcher die jeweils aktuelle lokale Karte und damit alle Sensordaten mittels feature-basierter Matchingverfahren auf das Modell der Umgebung abbildet. Ein Explorationsalgorithmus bewegt den Roboter w{\"a}hrend der Bewegungsphase autonom zu Sensorpunkten, welche neue Informationen bereitstellen. W{\"a}hrend der Bewegungsphase werden dabei die bisherigen hypothetischen Positionen best{\"a}rkt oder geschw{\"a}cht, sodaß nach kurzer Zeit eine dominante Position, die tats{\"a}chliche Roboterposition,{\"u}brigbleibt.},
  subject      = {Mobiler Roboter},
  language  = {de}
}