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This paper addresses the complexity of SAT-based invariant inference, a prominent approach to safety verification. We consider the problem of inferring an inductive invariant of polynomial length given a transition system and a safety…

Programming Languages · Computer Science 2020-01-22 Yotam M. Y. Feldman , Neil Immerman , Mooly Sagiv , Sharon Shoham

We develop a theory of decidable inductive invariants for an infinite-state variant of the Applied pi-calculus, with applications to automatic verification of stateful cryptographic protocols with unbounded sessions/nonces. Since the…

Logic in Computer Science · Computer Science 2022-09-22 Emanuele D'Osualdo , Felix Stutz

Symbolic model checkers can construct proofs of properties over very complex models. However, the results reported by the tool when a proof succeeds do not generally provide much insight to the user. It is often useful for users to have…

Software Engineering · Computer Science 2016-08-01 Elaheh Ghassabani , Andrew Gacek , Michael W. Whalen

Inferring unknown constraints is a challenging and crucial problem in many robotics applications. When only expert demonstrations are available, it becomes essential to infer the unknown domain constraints to deploy additional agents…

Robotics · Computer Science 2023-12-06 Dimitris Papadimitriou , Jingqi Li

We propose a symbolic execution method for analyzing the safety of software under fault attacks both accurately and efficiently. Fault attacks leverage physically injected hardware faults in an embedded system to break the safety of a…

Software Engineering · Computer Science 2026-04-27 Yuzhou Fang , Chenyu Zhou , Jingbo Wang , Chao Wang

In this paper, we study model-checking of linear-time properties in multi-valued systems. Safety property, invariant property, liveness property, persistence and dual-persistence properties in multi-valued logic systems are introduced. Some…

Logic in Computer Science · Computer Science 2016-09-27 Yongming Li , Manfred Droste , Lihui Lei

Safety is a critical feature of controller design for physical systems. When designing control policies, several approaches to guarantee this aspect of autonomy have been proposed, such as robust controllers or control barrier functions.…

Machine Learning · Computer Science 2021-02-26 Miguel Calvo-Fullana , Luiz F. O. Chamon , Santiago Paternain

In this paper we use pre existing language support for type modifiers and object capabilities to enable a system for sound runtime verification of invariants. Our system guarantees that class invariants hold for all objects involved in…

Programming Languages · Computer Science 2019-02-28 Isaac Oscar Gariano , Marco Servetto , Alex Potanin

We consider entanglement detection for quantum key distribution systems that use two signal states and continuous variable measurements. This problem can be formulated as a separability problem in a qubit-mode system. To verify…

Quantum Physics · Physics 2007-05-23 Johannes Rigas , Otfried Gühne , Norbert Lütkenhaus

We present a novel verification technique to prove interesting properties of a class of array programs with a symbolic parameter N denoting the size of arrays. The technique relies on constructing two slightly different versions of the same…

Programming Languages · Computer Science 2021-07-05 Supratik Chakraborty , Ashutosh Gupta , Divyesh Unadkat

We propose a new cyclic proof system for automated, equational reasoning about the behaviour of pure functional programs. The key to the system is the way in which cyclic proof and equational reasoning are mediated by the use of contextual…

Programming Languages · Computer Science 2022-06-16 Eddie Jones , C-. H. Luke Ong , Steven Ramsay

A loop invariant is a property of a loop that remains true before and after each execution of the loop. The identification of loop invariants is a critical step to support automated program safety assessment. Recent advancements in Large…

Software Engineering · Computer Science 2025-11-11 Mostafijur Rahman Akhond , Saikat Chakraborty , Gias Uddin

Model checking is an established technique to formally verify automation systems which are required to be trusted. However, for sufficiently complex systems model checking becomes computationally infeasible. On the other hand, testing,…

Software Engineering · Computer Science 2019-07-30 Igor Buzhinsky , Valeriy Vyatkin

In this work, we outline a cross-domain assurance process for safety-relevant software in embedded systems. This process aims to be applied in various different application domains and in conjunction with any development methodology. With…

Software Engineering · Computer Science 2021-06-07 Marc Zeller , Kai Hoefig , Martin Rothfelder

Control systems are exposed to unintentional errors, deliberate intrusions, false data injection attacks, and various other disruptions. In this paper we propose, justify, and illustrate a rule of thumb for detecting, or confirming the…

Methodology · Statistics 2018-06-19 Nadezhda Gribkova , Ričardas Zitikis

Machine learning (ML) has recently created many new success stories. Hence, there is a strong motivation to use ML technology in software-intensive systems, including safety-critical systems. This raises the issue of safety verification of…

Software Engineering · Computer Science 2020-07-01 Hermann Kaindl , Stefan Kramer

Many embedded and real-time systems have a inherent probabilistic behaviour (sensors data, unreliable hardware,...). In that context, it is crucial to evaluate system properties such as "the probability that a particular hardware fails".…

Software Engineering · Computer Science 2015-09-22 Van Chan Ngo , Axel Legay , Jean Quilbeuf

We design a variation of the Karp-Miller algorithm to compute, in a forward manner, a finite representation of the cover (i.e., the downward closure of the reachability set) of a vector addition system with one zero-test. This algorithm…

Discrete Mathematics · Computer Science 2015-07-01 Rémi Bonnet , Alain FInkel , Jérôme Leroux , Marc Zeitoun

We propose Kernel Predictive Control (KPC), a learning-based predictive control strategy that enjoys deterministic guarantees of safety. Noise-corrupted samples of the unknown system dynamics are used to learn several models through the…

Systems and Control · Electrical Eng. & Systems 2020-11-24 Emilio T. Maddalena , Paul Scharnhorst , Yuning Jiang , Colin N. Jones

This paper investigates the algorithmic safety verification problem of infinite-state parameterized concurrent programs over a rich set of communication topologies. The goal is to automatically produce a proof of correctness in the form of…

Logic in Computer Science · Computer Science 2026-05-15 Ruotong Cheng , Azadeh Farzan