Integrating SAT with MDG for Efficient Invariant Checking

Multiway Decision Graph (MDG) is a canonical representation of a subset of many-sorted first-order logic. It generalizes the logic of equality with abstract types and uninterpreted function symbols. The area of Satisfiability (SAT) has been the subject of intensive research in recent years, with significant theoretical and practical contributions. From a practical perspective, a large number of very effective SAT solvers have recently been proposed, most of which based on improvements made to the original Davis-Putnam algorithm. Local search algorithms have allowed solving extremely large satisfiable instances of SAT. The combination between various verification methodologies will enhance the capabilities of each and overcome their limitations. In this thesis, we introduce a methodology and propose a new design verification tool integrating MDG and SAT, to check the safety of a design by invariant checking. Using MDG to encode the set of states provide powerful mean of abstraction. We use SAT solver searching for paths of reachable states violating the property under certain encoding constraints. In addition, we also introduce an automated conversion-verification methodology to convert a Directed Formula (DF) into Conjunctive Normal Form (CNF) formula that can be fed to a SAT solver. The formal verification of this conversion is conducted within the HOL theorem prover. Finally, we implement and conduct experiment on some examples along with a case study to show the correctness and the efficiency of our approach

Early Dependability Analysis of FPGA-Based Space Applications Using Formal Verification

SRAM-based FPGAs are increasingly attractive in the aerospace industry for their field programmability and low cost. Unfortunately, they suffer from cosmic radiation induced Single Event Effects (SEEs). In safety-critical applications, the dependability of the design is a prime concern since failures may have catastrophic consequences. Hence, an early analysis of dependability of such safety-critical applications will enable designers to develop systems that meet high dependability requirements, such as the DO-254 standard. In this thesis, we propose a high-level dependability and performability analysis methodology based on probabilistic model checking. Compared to the pen-and-pencil and discrete-event simulation approach, our methodology is more accurate due to the use of an automated formal verification technique. Moreover, compared to fault injection or beam testing, analysis at early design stages can guide designers to build more reliable designs reducing the overall cost and effort. The proposed methodology can perform three different types of analysis: evaluation of available design options, optimization of scrub intervals while satisfying its design assurance level requirements, and optimal partitioning of Triple-Modular Redundant (TMR) Systems. Such analysis can also guide designers to adopt proper mitigation technique(s), such as rescheduling, TMR, TMR with less frequent scrubs, or even can help to decide the number of TMR partitions for a given scrub intervals. Starting from a high-level description of a system, based on the preferred analysis, a Markov model or Markov (reward) model is constructed from the extracted Control Data Flow Graph (CDFG) and the failure/mitigation parameters for the targeted FPGA. Such modeling and exhaustive analysis elaborated using a probabilistic model checking technique can capture all the failures and repairs possible (according to some general model) in the system within the radiation environment. To illustrate the applicability of the proposed approach, we present our quantitative analysis obtained from DSP benchmark circuits

Dependability modeling and optimization of triple modular redundancy partitioning for SRAM-based FPGAs

SRAM-based FPGAs are popular in the aerospace industry for their field programmability and low cost. However, they suffer from cosmic radiation-induced Single Event Upsets (SEUs). Triple Modular Redundancy (TMR) is a well-known technique to mitigate SEUs in FPGAs that is often used with another SEU mitigation technique known as configuration scrubbing. Traditional TMR provides protection against a single fault at a time, while partitioned TMR provides improved reliability and availability. In this paper, we present a methodology to analyze TMR partitioning at early design stage using probabilistic model checking. The proposed formal model can capture both single and multiple-cell upset scenarios, regardless of any assumption of equal partition sizes. Starting with a high-level description of a design, a Markov model is constructed from the Data Flow Graph (DFG) using a specified number of partitions, a component characterization library and a user defined scrub rate. Such a model and exhaustive analysis captures all the considered failures and repairs possible in the system within the radiation environment. Various reliability and availability properties are then verified automatically using the PRISM model checker exploring the relationship between the scrub frequency and the number of TMR partitions required to meet the design requirements. Also, the reported results show that based on a known voter failure rate, it is possible to find an optimal number of partitions at early design stages using our proposed method.Comment: Published in Reliability Engineering & System Safety Volume 182, February 2019, Pages 107-11

Maintenance of Smart Buildings using Fault Trees

Timely maintenance is an important means of increasing system dependability and life span. Fault Maintenance trees (FMTs) are an innovative framework incorporating both maintenance strategies and degradation models and serve as a good planning platform for balancing total costs (operational and maintenance) with dependability of a system. In this work, we apply the FMT formalism to a {Smart Building} application and propose a framework that efficiently encodes the FMT into Continuous Time Markov Chains. This allows us to obtain system dependability metrics such as system reliability and mean time to failure, as well as costs of maintenance and failures over time, for different maintenance policies. We illustrate the pertinence of our approach by evaluating various dependability metrics and maintenance strategies of a Heating, Ventilation and Air-Conditioning system.Comment: arXiv admin note: substantial text overlap with arXiv:1801.0426