206873246
Fast error diagnosis for combinational verification
We address the problem of localizing error sites in a combinational circuit that has been shown to be inequivalent to its specification. In the typical case, it is not possible to identify the error location exactly. We propose a novel diagnosis strategy of gradually increasing the level of detail in the analysis algorithm to ultimately derive a small list of potential error sites in a short time. Our techniques combine the use of simulation, BDDs, and SAT in a novel way to achieve the goal. A limitation of many previous approaches has been that they have been constrained to a specific error model. No such assumption is made in our work. We show through experimental results that these techniques are successful in that the final set of error sites derived is small, contains the actual error sites and is derived in a reasonable amount of time.
11387042
Predicate learning and selective theory deduction for a difference logic solver
Design and verification of systems at the register-transfer (RT) or behavioral level require the ability to reason at higher levels of abstraction. Difference logic consists of an arbitrary Boolean combination of propositional variables and difference predicates and therefore provides an appropriate abstraction. In this paper, we present several new optimization techniques for efficiently deciding difference logic formulas. We use the lazy approach by combining a DPLL Boolean SAT procedure with a dedicated graph-based theory solver, which adds transitivity constraints among difference predicates on a "need-to" basis. Our new optimization techniques include flexible theory constraint propagation, selective theory deduction, and dynamic predicate learning. We have implemented these techniques in our lazy solver. We demonstrate the effectiveness of the proposed techniques on public benchmarks through a set of controlled experiments
8665183
Dynamic detection and removal of inactive clauses in SAT with application in image computation
In this paper, we present a new technique for the efficient dynamic detection and removal of inactive clauses, i.e. clauses that do not affect the solutions of interest of a Boolean satisfiability (SAT) problem. The algorithm is based on the extraction of gate connectivity information during generation of the Boolean formula from the circuit, and its use in the inner loop of a branch-and-bound SAT algorithm. The motivation for this optimization is to exploit the circuit structure information, which can be used to find unobservable gates at circuit outputs under dynamic conditions. It has the potential to speed up all applications of SAT in which the SAT formula is derived from a logic circuit. In particular, we find that it has considerable impact on an image computation algorithm based on SAT. We present practical results for benchmark circuits which show that the use of this optimization consistently improves the performance for reachability analysis, in some cases enabling the prototype tool to reach more states than otherwise possible.
15353920
Beyond safety: customized SAT-based model checking
Model checking of safety properties has taken a significant lead over nonsafety properties in recent years. To bridge the gap, we propose dedicated SAT-based model checking algorithms for properties beyond safety. Previous bounded model checking (BMC) approaches have relied on either converting such properties to safety checking, or finding proofs by deriving termination criteria using loop-free path analysis. Instead, our approach uses a customized SAT-based formulation for bounded model checking of nonsafety properties, and determines the completeness bounds for liveness using unbounded SAT-based analysis. Our main contributions are: 1) Customized property translations for LTL formulas for BMC, with novel features that utilize partitioning, learning, and incremental formulation. Customized translations not only improve the BMC performance significantly in comparison to standard monolithic LTL translations, but also allow efficient derivation and use of completeness bounds. Though we discuss the translation schemas for liveness, they can be easily extended to handle other LTL properties as well. 2) Customized formulations for determining completeness bounds for liveness using SAT-based unbounded model checking (UMC) rather than using loop-free path analysis. These formulations comprise greatest fixed-point and least fixed-point computations to efficiently handle nested properties using SAT-based quantification approaches. We show the effectiveness of our overall approach for checking liveness on public benchmarks and several industry designs.
600527
Learning from BDDs in SAT-based bounded model checking
Bounded Model Checking (BMC) based on Boolean Satisfiability (SAT) procedures has recently gained popularity as an alternative to BDD-based model checking techniques for finding bugs in large designs. In this paper, we explore the use of learning from BDDs, where learned clauses generated by BDD-based analysis are added to the SAT solver, to supplement its other learning mechanisms. We propose several heuristics for guiding this process, aimed at increasing the usefulness of the learned clauses, while reducing the overheads. We demonstrate the effectiveness of our approach on several industrial designs, where BMC performance is improved and the design can be searched up to a greater depth by use of BDD-based learning.
46604085
Assertion-based verification turns the corner
The "formal verification method: Getting around the Brick Wall" panel at the 2002Design Automation Conference highlighted the industrial emergence of assertion-based verification and the need to go beyond current methods. Moderator David Dill initiated a discussion on the three brick walls to formal verifcation methods: handling high computational complexity, formulating properties to check, and characterizing the set of legal inputs to the design underverification. The panelists addressed moving to higher abstraction levels and assertion-based.verification as two strategies to solve these problems.
9764286
Time to Leave the Trees: From Syntactic to Conceptual Querying of XML
Current XML query languages operate on XML instances only but ignore valuable conceptual level information that is "buried" inside complex XML Schema documents. For example, XPath queries are evaluated against XML documents based on element names (tags) and their syntactic nesting structure, ignoring the element types and other conceptual level information that is declared in separate XML schemas. We propose an extension to XML query languages for conceptual querying of XML, based on an underlying abstract model of XML Schema (MXS). We show that this approach offers the user new and often more adequate high-level query capabilities beyond the traditional purely syntactic approach of querying XML trees.
9282309
Approximation via cost-sharing: a simple approximation algorithm for the multicommodity rent-or-buy problem
We study the multicommodity rent-or-buy problem, a type of network design problem with economies of scale. In this problem, capacity on an edge can be rented, with cost incurred on a per-unit of capacity basis, or bought, which allows unlimited use after payment of a large fixed cost. Given a graph and a set of source-sink pairs, we seek a minimum-cost way of installing sufficient capacity on edges so that a prescribed amount of flow can be sent simultaneously from each source to the corresponding sink. The first constant-factor approximation algorithm for this problem was recently given by Kumar et al.; however, this algorithm and its analysis are both quite complicated, and its performance guarantee is extremely large. In this paper, we give a conceptually simple 12-approximation algorithm for this problem. Our analysis of this algorithm makes crucial use of cost sharing, the task of allocating the cost of an object to many users of the object in a "fair" manner. While techniques from approximation algorithms have recently yielded new progress on cost sharing problems, our work is the first to show the converse - those ideas from cost sharing can be fruitfully applied in the design and analysis of approximation algorithms.
14666453
An Interpolated Volume Data Model
Publisher Summary This chapter explores the basic functionality of the volume data model. It considers examples from biology and volumes of measurement from quantum physics. The data model is similar in the two cases, but the operations that are commonly used are quite different. In the second case, for instance, one is often interested in conditions on the behavior of local differential operators, such as zero-flow surfaces, while in the biological case one has a mix of value conditions and geometric condition. With these two application fields, this chapter highlights the generality and flexibility of the model. The system is based on a commercial database, augmented with specialized functions to manipulate the volume data model. The chapter demonstrates various operations specifying queries both using a graphical user interface and entering them directly in structured query language (SQL) augmented with the volume algebra operations.
14070074
Stream processing of XPath queries with predicates
We consider the problem of evaluating large numbers of XPath filters, each with many predicates, on a stream of XML documents. The solution we propose is to lazily construct a single deterministic pushdown automata, called the XPush Machine from the given XPath fllters. We describe a number of optimization techniques to make the lazy XPush machine more efficient, both in terms of space and time. The combination of these optimizations results in high, sustained throughput. For example, if the total number of atomic predicates in the filters is up to 200000, then the throughput is at least 0.5 MB/sec: it increases to 4.5 MB/sec when each fllter contains a single predicate.
2635468
A System for Managing Alternate Models in Model-Based Mediation
In [1,3], we have described the problem of model-based mediation (MBM) as an extension of the global-as-view paradigm of information integration. The need for this extension arises in many application domains where the information sources to be integrated not only differ in their export formats, data models, and query capabilities, but have widely different schema with very little overlap in attributes. In scientific applications, the information sources come from different subdisciplines, and despite their poorly overlapping schema, can be integrated because they capture different aspects of the same scientific objects or phenomena, and can be conceptually integrated due to scientific reasons. In the MBM paradigm, a “mediation engineer” consults with domain experts to explicitly model the “glue knowledge” using a set of facts and rules at the mediator. Integrated views are defined in MBM on top of the exported schemas from the information sources together with the glue knowledge source that ties them together. We have successfully applied the MBM technique to develop the KIND mediator or Neuroscience information sources [1]-[4]. To accomplish this, sources in the MBM framework export their conceptual models (CMs), consisting of the logical schema, domain constraints, and object contexts, i.e., formulas that relate their conceptual schema with the global domain knowledge maintained at the mediator. Thus model-based mediation has a hybrid approach to information integration - on the one hand at the mediator integrated views are defined over source CMs and the Knowledge Map using a global-as-view approach; on the other hand, object-contexts of the source are defined as local-as-view.