68 research outputs found

    Structural model checking

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    The introduction of symbolic approaches, based on Binary Decision Diagrams (BDD), to Model Checking has led to significant improvements in Formal Verification, by allowing the analysis of very large systems, such as complex circuit designs. These were previously beyond the reach of traditional, explicit methods, due to the state space explosion phenomenon. However, after the initial success, the BDD technology has peaked, due to a similar problem, the BDD explosion.;We present a new approach to symbolic Model Checking that is based on exploiting the system structure. This technique is characterized by several unique features, including an encoding of states with Multiway Decision Diagrams (MDD) and of transitions with boolean Kronecker matrices. This approach naturally captures the property of event locality, inherently present in the class of globally asynchronous/locally synchronous systems.;The most important contribution of our work is the saturation algorithm for state space construction. Using saturation, the peak size of the MDD (luring the exploration is drastically reduced, often to sizes equal or comparable to the final MDD size, which makes it optimal in these terms. Subsequently, saturation can achieve similar reductions in runtimes. When compared to the leading state-of-the art tools based on traditional symbolic approaches, saturation is up to 100,000 times faster and uses up to 1,000 times less memory. This enables our approach to study much larger systems than ever considered. Following the success in state space exploration, we extend the applicability of the saturation algorithm to CTL Model Checking, and also to efficient generation of shortest length counterexamples for safety properties, with similar results.;This approach to automatic verification is implemented in the tool SMART. We test the new model checker on a real life, industrial size application: the NASA Runway Safety Monitor (RSM). The analysis exposes a number of potential problems with the decision procedure designed to signal all hazardous situations during takeoff and landing procedures on runways. Attempts to verify RSM with other model checkers (NuSMV, SPIN) fail due to excessive memory consumption, showing that our structural method is superior to existing symbolic approaches

    Interactive process mining

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    Interactive process mining

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    Some Optimally Adaptive Parallel Graph Algorithms on EREW PRAM Model

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    The study of graph algorithms is an important area of research in computer science, since graphs offer useful tools to model many real-world situations. The commercial availability of parallel computers have led to the development of efficient parallel graph algorithms. Using an exclusive-read and exclusive-write (EREW) parallel random access machine (PRAM) as the computation model with a fixed number of processors, we design and analyze parallel algorithms for seven undirected graph problems, such as, connected components, spanning forest, fundamental cycle set, bridges, bipartiteness, assignment problems, and approximate vertex coloring. For all but the last two problems, the input data structure is an unordered list of edges, and divide-and-conquer is the paradigm for designing algorithms. One of the algorithms to solve the assignment problem makes use of an appropriate variant of dynamic programming strategy. An elegant data structure, called the adjacency list matrix, used in a vertex-coloring algorithm avoids the sequential nature of linked adjacency lists. Each of the proposed algorithms achieves optimal speedup, choosing an optimal granularity (thus exploiting maximum parallelism) which depends on the density or the number of vertices of the given graph. The processor-(time)2 product has been identified as a useful parameter to measure the cost-effectiveness of a parallel algorithm. We derive a lower bound on this measure for each of our algorithms

    Advances in Evolutionary Algorithms

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    With the recent trends towards massive data sets and significant computational power, combined with evolutionary algorithmic advances evolutionary computation is becoming much more relevant to practice. Aim of the book is to present recent improvements, innovative ideas and concepts in a part of a huge EA field

    Reflexive incidence matrix (RIM) representation of Petri nets

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    Although incidence matrix representation has been used to analyze the Petri net based models of a system, it has the limitation that it does not preserve reflexive properties (i.e., the presence of self-loops) of Petri nets. But in many practical applications self-loops play very important roles. This paper proposes a new representation scheme for general Petri nets. This scheme defines a matrix called "reflexive incidence matrix (RIM) Cr," which is a combination of two matrices, a "base matrix Cb," and a "power matrix Cp." This scheme preserves the reflexive and other properties of the Petri nets. Through a detailed analysis it is shown that the proposed scheme requires less memory space and less processing time for answering commonly encountered net queries compared to other schemes. Algorithms to generate the RIM from the given net description and to decompose RIM into input and output function matrices are also given. The proposed Petri net representation scheme is very useful to model and analyze the systems having shared resources, chemical processes, network protocols, etc., and to evaluate the performance of asynchronous concurrent systems

    Preface

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    Reflexive Incidence Matrix (Rim) Representation Of Petri Nets

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    Although incidence matrix representation has been used to analyze the Petri net based models of a system, it has the limitation that it does not preserve reflexive properties (i.e., the presence of self-loops) of Petri nets. But in many practical applications self-loops play very important roles. This paper proposes a new representation scheme for general Petri nets. This scheme defines a matrix called “reflexive incidence matrix (RIM) Cr,” which is a combination of two matrices, a “base matrix Cb, and a “power matrix CP.” This scheme preserves the reflexive and other properties of the Petri nets. Through a detailed analysis it is shown that the proposed scheme requires less memory space and less processing time for answering commonly encountered net queries compared to other schemes. Algorithms to generate the RIM from the given net description and to decompose RIM into input and output function matrices are also given. The proposed Petri net representation scheme is very useful to model and analyze the systems having shared resources, chemical processes, network protocols, etc., and to evaluate the performance of asynchronous concurrent systems. Copyright © 1987 by The Institute of Electrical and Electronics Engineers, Inc
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