Track 3: Computations in theoretical physics -- techniques and methods

Here, we attempt to summarize the activities of Track 3 of the 17th International Workshop on Advanced Computing and Analysis Techniques in Physics Research (ACAT 2016).Comment: 10 pages, 3 figures, to appear in the proceedings of ACAT 201

Automated Theorem Proving in GeoGebra: Current Achievements

GeoGebra is an open-source educational mathematics software tool, with millions of users worldwide. It has a number of features (integration of computer algebra, dynamic geometry, spreadsheet, etc.), primarily focused on facilitating student experiments, and not on formal reasoning. Since including automated deduction tools in GeoGebra could bring a whole new range of teaching and learning scenarios, and since automated theorem proving and discovery in geometry has reached a rather mature stage, we embarked on a project of incorporating and testing a number of different automated provers for geometry in GeoGebra. In this paper, we present the current achievements and status of this project, and discuss various relevant challenges that this project raises in the educational, mathematical and software contexts. We will describe, first, the recent and forthcoming changes demanded by our project, regarding the implementation and the user interface of GeoGebra. Then we present our vision of the educational scenarios that could be supported by automated reasoning features, and how teachers and students could benefit from the present work. In fact, current performance of GeoGebra, extended with automated deduction tools, is already very promising—many complex theorems can be proved in less than 1 second. Thus, we believe that many new and exciting ways of using GeoGebra in the classroom are on their way

Integrating models and simulations of continuous dynamic system behavior into SysML

Contemporary systems engineering problems are becoming increasingly complex as they are handled by geographically distributed design teams, constrained by the objectives of multiple stakeholders, and inundated by large quantities of design information. According to the principles of model-based systems engineering (MBSE), engineers can effectively manage increasing complexity by replacing document-centric design methods with computerized, model-based approaches. In this thesis, modeling constructs from SysML and Modelica are integrated to improve support for MBSE. The Object Management Group has recently developed the Systems Modeling Language (OMG SysML ) to provide a comprehensive set constructs for modeling many common aspects of systems engineering problems (e.g. system requirements, structures, functions). Complementing these SysML constructs, the Modelica language has emerged as a standard for modeling the continuous dynamics (CD) of systems in terms of hybrid discrete- event and differential algebraic equation systems. The integration of SysML and Modelica is explored from three different perspectives: the definition of CD models in SysML; the use of graph transformations to automate the transformation of SysML CD models into Modelica models; and the integration of CD models and other SysML models (e.g. structural, requirements) through the depiction of simulation experiments and engineering analyses. Throughout the thesis, example models of a car suspension and a hydraulically-powered excavator are used for demonstration. The core result of this work is the provision of modeling abilities that do not exist independently in SysML or Modelica. These abilities allow systems engineers to prescribe necessary system analyses and relate them to stakeholder concerns and other system aspects. Moreover, this work provides a basis for model integration which can be generalized and re-specialized for integrating other modeling formalisms into SysML.M.S.Committee Chair: Chris Paredis; Committee Member: Dirk Schaefer; Committee Member: Russell Pea

A Model Traceability Framework for Network Service Management

Automating the enactment of processes using model-driven methods and tools paves the way for streamlining or optimizing these processes. Establishing traceability in automated processes is instrumental in carrying out analysis of the process and the involved artifacts. In this thesis, we propose a traceability information generation, visualization and analysis approach integrated with process modelling and enactment. A process model (PM) defined as an Activity Diagram has associated model transformations implementing the various activities and actions in the process. Enactment of the PM is carried out with the use of model transformation chaining in cooperation with model management means, in particular, megamodelling. We have incorporated both traceability in the small (at the model transformation level) and traceability in the large (at the PM level) in our approach. The traceability information is retained in the megamodel and forms the basis for traceability analysis of the enacted process. We have built a change impact analysis which allows the impact of a change in a model involved in the process to be assessed with the help of the derived megamodel. We further extended our approach with the notion of intents. We propose the usage of intents at both the PM and model-transformation levels as part of our traceability information. We define intents as information representing the objective of the PM actions/activities and their implementations. Furthermore, we have incorporated traceability visualization support to visualize trace links relating models at different levels through the captured intents. The intent-enriched traceability information and the enhanced visualization enable semantically richer traceability analysis. We applied our work to Network Service (NS) management in the context of the Network Functions Virtualization (NFV) paradigm.We believe automation of the orchestration and management of network services can progress rapidly with the help of model-driven engineering methods and tools. We applied our approach on a NS design process to analyze the impact of changing input models on output models as well as to show the benefits of intents not only in the context of this process, but also for the whole NS lifecycle management operations. Our work is concretized in a tool, MAPLE-T, built as an Eclipse plugin. It extends MAPLE, an integrated process modelling and enactment environment