Generating property-directed potential invariants by quantifier elimination in a k-induction-based framework

Champion, Adrien; Delmas, Rémi; Dierkes, Michael

doi:10.1016/j.scico.2014.10.004

Cited by 4 publications

(4 citation statements)

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“…The work [20] analyzed the Simulink model with real numbers by both simulation and formal verification, and then estimated the impact of rounding errors caused by the floating-point implementation using SMT solvers and abstract interpretation. The work [12] strengthened the stability property by generating lemmas using a property-directed approach.…”

Section: Evaluation Of Fpa-lib On Triplex Sensor Votermentioning

confidence: 99%

“…This means that the rover locates outside the reserved area. The reserved area is in fact a set of continuous 12 reserved waypoints of rover's mission, therefore the calculation of init_rsv1 depends on the reservation status of the waypoints (variable rsv1). We notice that in step k=1, the waypoints P0 and P2 in the mission are reserved (i.e., rsv1[0]=t and rsv1 [2]=t), but the waypoint P1 is not (i.e., rsv1 [1]=f), which means that the reserved area is not continuous.…”

Section: K-inductive Proof Of Safety Propertymentioning

confidence: 99%

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Integrated formal verification of safety-critical software

Jenn

Breton³

et al. 2017

Int J Softw Tools Technol Transfer

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OATAO is an open access repository that collects the work of Toulouse researchers and makes it freely available over the web where possible. Abstract This work presents a formal verification process based on the Systerel Smart Solver (S3) toolset for the development of safety-critical embedded software. In order to guarantee the correctness of the implementation of a set of textual requirements, the process integrates different verification techniques (inductive proof, bounded model checking, test case generation and equivalence proof) to handle different types of properties at their best capacities. It is aimed at the verification of properties at system, design, and code levels. To handle the floating-point arithmetic (FPA) in both the design and the code, an FPA library is designed and implemented in S3. This work is illustrated on an Automatic Rover Protection (ARP) system implemented on-board a robot. Focus is placed on the verification of safety and functional properties and on the equivalence proof between the design model and the generated code.

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Section: Evaluation Of Fpa-lib On Triplex Sensor Votermentioning

confidence: 99%

Section: K-inductive Proof Of Safety Propertymentioning

confidence: 99%

Integrated formal verification of safety-critical software

Jenn

Breton³

et al. 2017

Int J Softw Tools Technol Transfer

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“…We have integrated Redlog with JKind for such enhancement on nonlinearity SMT-solving ability through quantifier-elimination. A related application of using QE to generate property-directed invariants in a k-induction based framework can be found in [19]. We summarize our key contributions presented in this paper in below:…”

Section: Introductionmentioning

confidence: 99%

“ReLIC: Reduced Logic Inference for Composition” for Quantifier Elimination based Compositional Reasoning

Ren

Kumar

2019

Proceedings of the 16th International Conference on Informatics in Control, Automation and Robotics

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The paper presents our research on quantifier elimination (QE) for compositional reasoning and verification. For compositional reasoning, QE provides the foundation of our approach, serving as the calculus for composition to derive the strongest system-property in a single step, from the given component atomic-properties and their interconnection relation. We first developed this framework for time-independent properties, and later extended it to time-dependent property composition. The extension requires, in addition, shifting the given properties along time to span the time horizon of interest, he least of which for the strongest system-property is no more than the total time horizons of the component level atomicproperties. The system-initial-condition is also composed from atomic-initial-conditions of the components the same way. It is used to verify a desired system-level property, alongside the derived strongest system-property, by way of induction. Our composition approach is uniform regardless of the composition types (cascade/parallel/feedback) for both time-dependent and timeindependent properties. We develped a new prototype verifier named ReLIC (Reduced Logic Inference for Composition) that implements our above approaches. We demonstrated it through several illustrative and practical examples. Further, we advanced the k-induction based model-checking with QE capabilities, by formulating its base and inductive steps into QE problems where all the variables are universally quantified. Our integration of the QE solver Redlog with the k-induction based model-checking tool JKind, shows the successful solving of a non-linear problem that the SMT capable JKind failed to resolve. Finally, we also showcase the recent adoption of our approaches within an industrial V&V tool suite for augmented static analysis of Simulink models and Deep Neural Networks (DNNs).

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“…This thereby enhances JKind's ability of checking properties that may involve nonlinearity. A related application is the generation of property-directed invariants by using QE in a k-induction-based framework [96].…”

Section: Performancementioning

confidence: 99%

Model-based compositional verification approaches and tools development for cyber-physical systems

Ren

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Generating property-directed potential invariants by quantifier elimination in a k-induction-based framework

Cited by 4 publications

References 24 publications

Integrated formal verification of safety-critical software

Integrated formal verification of safety-critical software

“ReLIC: Reduced Logic Inference for Composition” for Quantifier Elimination based Compositional Reasoning

Model-based compositional verification approaches and tools development for cyber-physical systems

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