• Title/Summary/Keyword: State Explosion Problem

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Modeling of Petri Nets Using Relatinal Algebra (관계 대수를 이용한 페트리 네트의 모델링)

  • 김영찬
    • Journal of the Korea Society for Simulation
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    • v.1 no.1
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    • pp.37-47
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    • 1992
  • This paper proposes an analysis method of petri nets(PNs) using the relational algebra(RA). More wpecifically, we represent PNs in relations of the relational model. Based on such representation, we first develop an algorithm for generating reachability trees of PNs. we then develop an algorithm for generating reachability trees of PNs. We then develop algorithms for analyzing properties of PNs, such as boundedness, conservation, coverability, reachability, and liveness. The advantage of this approach is as follows: First, the algorithms represented by RA can be easity converted to a query language such as SQL of the widely used, commerical relational database management systems(DBMSs). Second, we can alleviate the problem of state space explosion because relational DBMSs can handle large amounts of data efficiently. Finally, we can use the DBMS's query language to interpret the Petri nets and make simulation.

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Synthesis of Asynchronous Circuits from Deterministic Signal Transition Graph with Timing Constraints (시간 제한 조건을 가진 결정성 신호 전이 그래프로부터 비동기 회로의 합성)

  • Kim, Hee-Sook;Jung, Sung-Tae
    • Journal of KIISE:Computer Systems and Theory
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    • v.27 no.2
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    • pp.216-226
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    • 2000
  • This paper presents a new method to synthesize timed asynchronous circuits directly from the specification without generating a state graph. The synthesis procedure begins with a deterministic signal transition graph specification with timing constraints. First, a timing analysis extracts the timed concurrency and timed causality relations between any two signal transitions. Then, a hazard-free implementation under the timing constraints is synthesized by constructing a precedence graph and finding paths in the graph. The major result of this work is that the method does not suffer from the state explosion problem, achieves significant reductions in synthesis time, and generates circuits that have nearly the same area as compared to previous methods.

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Extracting Subsequence of Boolean Variables using SAT-solver (만족가능성 처리기를 이용한 이진 변수 서브시퀀스 추출)

  • Park, Sa-Choun;Kwon, Gi-Hwon
    • The KIPS Transactions:PartD
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    • v.15D no.6
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    • pp.777-784
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    • 2008
  • Recently in the field of model checking, to overcome the state explosion problem, the method of using a SAT-solver is mainly researched. To use a SAT-solver, the system to be verified is translated into CNF and the Boolean cardinality constraint is widely used in translating the system into CNF. In BCC it is dealt with set of boolean variables, but there is no translating method of the sequence among Boolean variables. In this paper, we propose methods for translating the problem, which is extracting a subsequence with length k from a sequence of Boolean variables, into CNF formulas. Through experimental results, we show that our method is more efficient than using only BCC.

An Abstraction Method for State Minimization based on Syntactic and Semantic Patterns in the Execution Space of Real-Time Systems (실시간 시스템의 실행 공간상에서 구문 및 의미패턴에 기반한 상태 최소화를 위한 추상화 방법)

  • 박지연;조기환;이문근
    • Journal of KIISE:Software and Applications
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    • v.30 no.1_2
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    • pp.103-116
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    • 2003
  • States explosion due to composition of spaces of data, temporal, and locational values is one of the well-known critical problems which cause difficulty in understanding and analysing real-time systems specified with state-based formal methods. In order to overcome this problem, this paper presents an abstraction method for state minimization based on an abstraction in system specification and an abstraction in system execution. The first is named the syntactic in system specification and an abstraction in system execution. The first is named the syntactic abstraction, through which the patterns of the unconditionally internalized computation and the repetition and selection structures are abstracted. The latter is named the semantic abstraction, through which the patterns of the execution space represented with data. Through the abstractions, the components of a system in specification and execution model is hierarchically organized. The system can be analyzed briefly in the upper level in an skeleton manner with low complexity. The system, however, can be abstraction method for the state minimization and the decrease in analysis complexity through the abstraction with examples.

A Proof of Safety and Liveness Property in Modal mu-Calculus and CTL for Model Checking (모형검사를 위한 Modal mu-Calculus 와 CTL의 안전성 및 필연성 및 논리식 증명)

  • Lee, Bu-Ho;Kim, Tae-Gyun;Lee, Jun-Won;Kim, Seong-Un
    • Journal of KIISE:Computer Systems and Theory
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    • v.26 no.12
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    • pp.1485-1492
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    • 1999
  • 대규모 시스템 명세의 올바름을 검증하기 위한 유한 상태 LTS에 기반을 둔 CTL논리 적용에 있어 가장 큰 문제점은, 시스템 내부의 병렬 프로세스간의 상호작용으로 인한 상태폭발이다. 그러나 Modal mu-calculus 논리를 시스템 안전성 및 필연성 특성 명세에 사용하면, 행위에 의한 순환적 정의가 가능하므로 상태폭발 문제가 해결 가능하다. 본 논문에서는 LTS로 명세화된 통신 프로토콜 시스템 모델의 안전성 및 필연성 특성을 모형 검사 기법에 의해 검증함에 있어, 시제 논리로 사용된 Modal mu-calculus 안전성 및 필연성 논리식과 CTL 의 안전성 및 필연성 논리식의 극한값이 동일함을 두 논리식을 만족하는 상태 집합이 같다는 것을 보임으로써 증명한다. 증명된 결과는 I/O FSM 모델로 표현된 통신 프로토콜의 안전성 및 필연성 검사를 위해 이론적인 기반으로서, 컴퓨터를 이용한 모형검사 기법에 효과적인 방법으로 응용이 가능하다.Abstract In applying CTL-based model checking approach to correctness verification of large state transition system specifications, the major obstacle is the combinational explosion of the state space arising due to interaction of many loosely coupled parallel processes. If, however, the modal mu-calculus viewed as a CTL-based logic with recursion, is used to specify the safety and liveness property of a given system, it is possible to resolve this problem. In this paper, we discuss the problem of verifying communication protocol system specified in LTS, and prove that a logic expression specifying safety and liveness in modal mu-calculus is semantically identical to the maximum value of the expression in CTL. This relation is verified by the proof that the sets of states satisfying the two logic expressions are equivalent. The proof can be used as a theoretical basis for verifying safety and liveness of communication protocols represented as I/O FSM model.

SOH Estimation and Feature Extraction using Principal Component Analysis based on Health Indicator for High Energy Battery Pack (건전성 지표 기반 주성분분석(PCA)을 적용한 고용량 배터리 팩의 열화 인자 추출 방법 및 SOH 진단 기법 연구)

  • Lee, Pyeong-Yeon;Kwon, Sanguk;Kang, Deokhun;Han, Seungyun;Kim, Jonghoon
    • The Transactions of the Korean Institute of Power Electronics
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    • v.25 no.5
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    • pp.376-384
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    • 2020
  • An energy storage system is composed of lithium-ion batteries in modern applications. Batteries are regarded as storage devices for renewable and residual energy. The failure of batteries can cause the performance reduction and explosion of battery systems. High maintenance cost is essential when dealing with the problem of battery safety. Therefore an accurate health diagnosis is required to ensure the high reliability of battery systems. A battery pack is a combination of single cells in series and parallel connections. A battery pack has to consider various factors to assess battery health. Battery health involves conventional factors and additional factors, such as cell-to-cell imbalance. For large applications, state-of-health (SOH) can be inaccurate because of the lack of factors that indicate the state of the battery pack. In this study, six characterization factors are proposed for improving the SOH estimation of battery packs. The six proposed characterization factors can be regarded as health indicators (HIs). The six HIs are applied to the principal component analysis (PCA) algorithm. To reflect information regarding capacity, voltage, and temperature, the PCA algorithm extracts new degradation factors by using the six HIs. The new degradation factors are applied to a multiple regression model. Results show the advancement and improvement of SOH estimation.

Formal Verification of PLC Program Safety in Manufacturing Automation System (생산자동화시스템 PLC 제어프로그램의 안전성 정형검증에 관한 연구)

  • Park, Chang Mok
    • Journal of the Korea Safety Management & Science
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    • v.17 no.1
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    • pp.179-192
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    • 2015
  • In an automated industry PLC plays a central role to control the automation system. Therefore, fault free operation of PLC controlled automation system is essential in order to maximize a firm's productivity. A prior test of control system is a practical way to check fault operations, but it is a time consuming job and can not check all possible fault operation. A formal verification of PLC program could be a best way to check all possible fault situation. Tracing the history of the study on formal verification, we found three problems, the first is that a formal representation of PLC control system is incomplete, the second is a state explosion problem and the third is that the verification result is difficult to use for the correction of control program. In this paper, we propose a transformation method to reproduce the control system correctly in formal model and efficient procedure to verify and correct the control program using verification result. To demonstrate the proposed method, we provided a suitable case study of an automation system.

Deterministic Execution Testing for Concurrent Programs based on Automata (오토마타기반의 병행 프로그램을 위한 결정적 수행 테스팅 기법)

  • Chung, In-Sang;Kim, Byeong-Man;Kim, Hyeon-Soo
    • Journal of KIISE:Software and Applications
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    • v.28 no.10
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    • pp.706-719
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    • 2001
  • In this paper, we present a new approach to deterministic execution for testing concurrent programs. The proposed approach makes use of the notion of event independence which has been used in the partial-order method in order to resolve the state-explosion problem and constructs and automation which accepts all the sequences semantically equivalent to a given sequence. Consequently, we can allow a program to be executed according to event sequences other then the (possibly infeasible) given sequence if they have the same effects on the program's behavior. One advantage of this method is that it can be applied to situations where a program is not exactly implemented as described in the specification.

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A Study on a Quality Characteristics of Pressure Leak Test of Process Piping for Offshore Plant (해양플랜트 프로세스 배관 Pressure Leak Test의 품질 특성에 관한 연구)

  • Park, Chang-Soo;Kim, Hyungwoo
    • Journal of the Korean Society of Industry Convergence
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    • v.21 no.6
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    • pp.429-437
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    • 2018
  • The process gas piping of the offshore plant can cause a massive explosion if the gas leakage occurs during operation. For the purpose of precaution of gas leakage accident, an air pressure test is performed on the process equipment tests using a test pump as much as the power to the piping inner side, mix 99% nitrogen gas and 1% helium gas. The purpose of the air pressure test is to check the work conformity process by handling and regulation for initial piping process, assembly, installation of module, welding, center alignment of the pipes assembling flange gasket in an unrestrained free state. In this paper, the regulation of the problematic air pressure test was analyzed and the solution criteria were established. And leakage tests of existing equipment were performed applying these solution methods. As a result, it was confirmed that there was no problem.

Safety Improvement of Military Primary Lithium Batteries by New Protection Circuit for Low Current System (신규 보호회로 적용을 통한 저전류 장비용 군 리튬전지 안전성 개선)

  • Youn, Seong Gi;Cho, Yu Seup
    • Journal of the Korean Institute of Electrical and Electronic Material Engineers
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    • v.32 no.3
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    • pp.256-261
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    • 2019
  • The use of military lithium batteries in this field accelerates the generation of internal pressure because the active materials, lithium and the electrolyte, react to form sulfur dioxide gas. This also reduces the amount of electrolyte. In this condition, batteries can 'vent' or 'explode' especially when completely discharged. Such venting and explosion can be regarded as a safety accident, as toxic gases and shrapnel are ejected from the batteries which can harm the user. A DTaQ was carried out in 2017 as a quality problem solution project to solve this safety issue. A protection circuit was thereby developed, which included a micro controller unit (MCU) which can stop battery usage when in an over-discharging state by sensing its low-voltage condition. In 2018, this concept was expanded to lithium batteries for the remote controlled ammunition system. This paper reports results of the improved performance.