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The semantics of QPC's modeling language are grounded in themathematics of ordinary differential equations and their solutions.This formalization enables the statement and proof of QPC'scorrectness.  If the domain theory is adequate and the initialdescription of the system is correct, then the actual behavior of thesystem must be in the set of possible behaviors QPC predicts.  <p>QPC has been successfully applied to problems in Botany and complexexamples drawn from Chemical Engineering, as well as numerous smallerproblems.  Experience has shown that the modeling language isexpressive enough to describe complex domains and that the inferencemechanism is powerful enough to predict the behavior of substantialsystems.  <p><hr><H2><a name="Franke">A Theory of Teleology</a></H2>David Wayne Franke.  1993.<a href="file://ftp.cs.utexas.edu/pub/qsim/papers/Franke-PhD-92.ps.Z"><b>A Theory of Teleology</b></a>Doctoral dissertation, Department of Computer Sciences,The University of Texas at Austin. <p><H3>Abstract</H3> A representation language for teleological descriptions, ordescriptions of purpose, is defined.  The teleological language, TeD,expresses the descriptions of purpose in terms of design modificationsthat guarantee the satisfaction of design specifications.  Thesespecifications express potential behaviors the designed artifactshould or should not exhibit.  We define an abstraction relation onbehavior and implement model checking and classification algorithmsthat computethis abstraction relation. The model checking algorithmdetermines whether or not a behavior satisfies a specification.  Theclassification algorithm provides effective indexing of behaviors andteleological descriptions.  We implement an acquistion technique forteleological descriptions and demonstrate how teleologicaldescriptions can subsequently be used in diagnosis, explanation,case-based reasoning, design by analogy, and design reuse.  <p>We demonstrate the behavior language, teleology language, acquisitionof teleological descriptions, and application of teleologicaldescriptions in explanation, diagnosis, and design reuse via examplesin the thermal, hydraulic, electrical, and mechanical domains.  Wedefine additional teleological operators that express purposes likeprevent, order, synchronize, maintain, and regulate, demonstrating theability to represent common human-generated descriptions of purpose inTeD.  Expressing the purpose of preventing an undesirable behavior isunique to TeD, and is an example of TeD's ability to express purposesregarding missing behaviors and components removed from a design.  <p>The teleology language developed in this work represents a significantadvance over previous work by providing a formal language that 1) isindependent of any particular domain of mechanisms or behaviorlanguage, 2) can be effectively acquired during the design process,and 3) provides an effective means of classifying and indexingteleological descriptions.  <p><hr><H2><a name="Froom">High-Speed Navigation with Approximate Maps</a></H2>Richard Allan Froom.  1995.  <a href="file://ftp.cs.utexas.edu/pub/qsim/papers/Froom-PhD-95.ps.Z"><B>High-Speed Navigation with Approximate Maps.</B></a>Ph.D. Dissertation, The University of Texas at Austin.  <P> <H3>Abstract</H3>A global map of a mobile robot's environment is essential for high-performancenavigation in large-scale space.  When portions of the environment are notvisible, a map is needed for route planning and enables high performance byallowing the robot to anticipate regions that are occluded or beyond sensorrange.  Yet, autonomously acquired global map information is inevitablyuncertain due to the low positioning accuracy of mobile robots and thepossibility of changes to the environment. <P>Previous work in high-speed navigation falls into two categories.  Globaloptimization approaches assume that an accurate model of environment geometryand robot dynamics are available, and address the problem of efficientlyapproximating the minimum-time control between a start and goal state.  Reactivenavigation methods use only immediately sensed environment geometry to avoidobstacles while moving to a specified goal position.  The global optimizationapproach has the theoretical advantage of high performance, but it does notaddress the significant uncertainty typical of mobile robots.  The reactivenavigation approach can respond to unanticipated geometry, but its overallperformance is limited. <P>This dissertation describes a method for high-speed map-guided navigation inrealistic conditions of uncertainty.  A previously-developed method is used toacquire a topologically correct, metrically approximate map of the environmentdespite positioning errors.  Information in the approximate map guides theoperation of a novel, high-performance reactive navigator.  Performance does notcritically depend on the availability of expensive, accurate metricalinformation.  Nonetheless, the map may be elaborated with more detailedinformation, and, as its level of detail and accuracy is improved, performancesmoothly improves. <P><hr><H2><a name="Hartman">Automatic Control Understanding for Natural Programs</a></H2>John Hartman.  1991.<a href="file://ftp.cs.utexas.edu/pub/qsim/papers/Hartman-PhD-91.ps.Z"><b>Automatic Control Understanding for Natural Programs</b></a>Doctoral dissertation, Department of Computer Sciences,The University of Texas at Austin.  <p><H3>Abstract</H3> Program understanding involves recognizing abstract concepts like"read-process loop" in existing programs.  Programmers spend much oftheir time understanding programs, so studying and automating theprocess has many benefits.  <p>Programming plans are units of programming knowledge connectingabstract concepts and their implementations.  Existing researchassumes that plan instances can be recognized to recover theprogrammer's abstract concepts and intentions, but this approach hasnot been confirmed empirically.  <p>We present a practical method for bottom-up control conceptrecognition in large, unstructured imperative programs.  Controlconcepts are abstract notions about interactions between control flow,data flow and computation, such as "do loop", "read process loop", and"bounded linear search".  They are recognized by comparing an abstractprogram representation against a library of standard implementationplans.  The program representation is a hierarchical control flow/dataflow graph decomposed into a tree of sub-models using propers (singleentry/exit control flow sub-graphs).  Plans are represented by similargraphs with added qualifications.  Recognition is based on simplematching between sub-models and plans.  The method was implemented inthe UNPROG program understander and tested with Cobol and Lisp sourceprograms.  <p>This method is robust, efficient, and scalable.  The programrepresentation can be formed for all language constructs which permitstatic determination of control and data flow.  Comparing sub-modelsand comparisons increases linearly with program size.  <p>UNPROG has been applied to automatic Cobol restructuring.  Knowledgeassociated with plans and concepts permits more specific andinsightful transformation, code generation, and documentation than ispossible with syntactic methods.  Control understanding can similarlyraise the level of other reverse engineering and re-engineering toolsfor applications like analysis, documentation, and translation.  <p>We also showed how our method and UNPROG can be used for empiricalstudy of programs at the conceptual level.  Results can be used toimprove recognizer performance, acquire plans, catalog natural plansand concepts, test the hypothesis that programs are planful, andcharacterize program populations.  <p><hr><H2><a name="Akira">Geometrical Motion Planning for Highly Redundant Manipulators Using a Continuous Model</a></H2>Akira Hayashi.  1991.<a href="file://ftp.cs.utexas.edu/pub/qsim/papers/Hayashi-PhD-91.ps.Z"><b>Geometrical Motion Planning for Highly Redundant Manipulators Using a Continuous Model</b></a>Doctoral dissertation, Department of Computer Sciences,The University of Texas at Austin.  <p><H3>Abstract</H3> There is a need for highly redundant manipulators to work in complex,cluttered environments.  Our goal is to plan paths for suchmanipulators efficiently.  <p>The path planning problem has been shown to be PSPACE-complete interms of the number of degrees of freedom (DOF) of the manipulator.We present a method which overcomes the complexity with a strongheuristic: utilizing redundancy by means of a continuous manipulatormodel.  The continuous model allows us to change the complexity of theproblem from a function of both the DOF of the manipulator (believedto be exponential) and the complexity of the environment (polynomial),to a polynomial function of the complexity of the environment only.  <p>The power of the continuous model comes from the ability to decomposethe manipulator into segments, with the number, size, and boundariesof the segments, varying smoothly and dynamically.  First, we developmotion schemas for the individual segments to achieve a basic set ofgoals in open and cluttered space.  Second, we plan a smoothtrajectory through free space for a point robot with a maximumcurvature constraint.  Third, the path generates a set of positionsubgoals for the continuous manipulator which are achieved by thebasic motion schemas.  Fourth, the mapping from the continuous modelto an available jointed arm provides the curvature bound and obstacleenvelopes required (in step 2) to guarantee a collision-free path.  <p>The validity of the continuous model approach is also supported by anextensive simulation which we performed.  While the simulation hasbeen performed in 2-D, we show a natural extension to 3-D for eachtechnique we have implemented for the 2-D simulation.  <p><hr><H2><a name="Kay">Refining Imprecise Models and Their Behaviors</a></H2>Herbert Kay.  1996.  <a href="file://ftp.cs.utexas.edu/pub/qsim/papers/Kay-PhD-96.ps.Z"><B>Refining Imprecise Models and Their Behaviors</B></a>.Doctoral dissertation, Department of Computer Sciences, The University of Texasat Austin, December 1996.<H3>Abstract</H3>This dissertation describes methods for simulating and refiningimprecisely-defined Ordinary Differential Equation (ODE) systems.When constructing a model of a physical process, a modeler must copewith uncertainty due to incomplete knowledge of the process.  Fortasks such as design and diagnosis, the effects of this uncertaintymust be considered.  However, predicting the behavior of animprecisely-defined model is not easy since the model covers a spaceof many precise instances, each of which behaves differently.  <p>While model uncertainty cannot be completely eliminated, it ispossible to reduce it.  Model refinement uses observationsof a physical process to rule out portions of the model space thatcould not have produced the observations.  As more experience with thephysical process is gained, the imprecision in the model is furtherreduced.  <p>This dissertation describes three methods for reasoning with impreciseODE models.  SQSim is a simulatorthat produces a guaranteed bound on the behavior of an imprecise ODEmodel.  By using a multiple-level representation and inference methodsthat span the qualitative-to-quantitative spectrum, SQSim producespredictions whose uncertainty is consistent with modelimprecision.  We demonstrate SQSim on a complex, nonlinear chemicalprocess and compare it to other methods for simulating impreciseODE models.  <p>MSQUID is a function estimator for fitting (and bounding) noisy datathat is known to be monotonic.  It uses a neural-network inspiredmodel and nonlinear constrained optimization to search aspace of monotonic functions.  We prove that MSQUID can estimate anymonotonic function and show that it produces better estimates thandoes unconstrained optimization.  <p>

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