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We introduce an automata-theoretic method for the verification of distributed algorithms running on ring networks. In a distributed algorithm, an arbitrary number of processes cooperate to achieve a common goal (e.g., elect a leader).…

Logic in Computer Science · Computer Science 2015-04-27 C. Aiswarya , Benedikt Bollig , Paul Gastin

We present a fully automatic algorithm for verifying safety properties of parameterized software systems. This algorithm is based on both IC3 and Lazy Annotation. We implemented it in Cubicle, a model checker for verifying safety properties…

Logic in Computer Science · Computer Science 2018-11-21 Sylvain Conchon , Amit Goel , Sava Krstic , Rupak Majumdar , Mattias Roux

We consider the model checking problem of infinite state systems given in the form of parameterized discrete timed networks with multiple clocks. We show that this problem is decidable with respect to specifications given by B- or…

Logic in Computer Science · Computer Science 2016-09-15 Benjamin Aminof , Sasha Rubin , Francesco Spegni , Florian Zuleger

Commutativity has proven to be a powerful tool in reasoning about concurrent programs. Recent work has shown that a commutativity-based reduction of a program may admit simpler proofs than the program itself. The framework of…

Programming Languages · Computer Science 2023-11-07 Azadeh Farzan , Dominik Klumpp , Andreas Podelski

In this paper we give an overview of results on the analysis of parametric linear hybrid automata, and of systems of similar linear hybrid automata: We present possibilities of describing systems with a parametric (i.e. not explicitly…

Logic in Computer Science · Computer Science 2025-05-15 Viorica Sofronie-Stokkermans , Philipp Marohn

We present an approach to the verification of systems for whose description some elements - constants or functions - are underspecified and can be regarded as parameters, and, in particular, describe a method for automatically generating…

Logic in Computer Science · Computer Science 2023-10-30 Dennis Peuter , Philipp Marohn , Viorica Sofronie-Stokkermans

A fundamental advantage of Petri net models is the possibility to automatically compute useful system invariants from the syntax of the net. Classical techniques used for this are place invariants, P-components, siphons or traps. Recently,…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-06-22 Javier Esparza , Mikhail Raskin , Christoph Welzel

Many techniques for the automated verification of distributed protocols have been developed over the past several years, but their performance is still unpredictable and their failure modes can be opaque for industrial scale verification…

Distributed, Parallel, and Cluster Computing · Computer Science 2026-04-22 William Schultz , Edward Ashton , Heidi Howard , Stavros Tripakis

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

We consider the verification of parameterized networks of replicated processes whose architecture is described by hyperedge-replacement graph grammars. Due to the undecidability of verification problems such as reachability or coverability…

Formal Languages and Automata Theory · Computer Science 2025-02-24 Marius Bozga , Radu Iosif , Arnaud Sangnier , Neven Villani

Control barrier functions are a popular method of ensuring system safety, and these functions can be used to enforce invariance of a set under the dynamics of a system. A control barrier function must have certain properties, and one must…

Systems and Control · Electrical Eng. & Systems 2022-12-02 Ellie Pond , Matthew Hale

Essential tasks for the verification of probabilistic programs include bounding expected outcomes and proving termination in finite expected runtime. We contribute a simple yet effective inductive synthesis approach for proving such…

Logic in Computer Science · Computer Science 2023-02-09 Kevin Batz , Mingshuai Chen , Sebastian Junges , Benjamin Lucien Kaminski , Joost-Pieter Katoen , Christoph Matheja

We characterize the complexity of the safety verification problem for parameterized systems consisting of a leader process and arbitrarily many anonymous and identical contributors. Processes communicate through a shared, bounded-value…

Logic in Computer Science · Computer Science 2015-05-26 Javier Esparza , Pierre Ganty , Rupak Majumdar

We consider the problem of verifying liveness for systems with a finite, but unbounded, number of processes, commonly known as parameterised systems. Typical examples of such systems include distributed protocols (e.g. for the dining…

Logic in Computer Science · Computer Science 2016-06-07 Anthony W. Lin , Philipp Ruemmer

We present an algorithm for the repair of parameterized systems. The repair problem is, for a given process implementation, to find a refinement such that a given safety property is satisfied by the resulting parameterized system, and…

Logic in Computer Science · Computer Science 2022-07-29 Swen Jacobs , Mouhammad Sakr , Marcus Völp

We study the problem of completely automatically verifying uninterpreted programs---programs that work over arbitrary data models that provide an interpretation for the constants, functions and relations the program uses. The verification…

Programming Languages · Computer Science 2020-08-27 Umang Mathur , P. Madhusudan , Mahesh Viswanathan

Infinite-state systems such as distributed protocols are challenging to verify using interactive theorem provers or automatic verification tools. Of these techniques, deductive verification is highly expressive but requires the user to…

Programming Languages · Computer Science 2019-05-21 Yotam M. Y. Feldman , James R. Wilcox , Sharon Shoham , Mooly Sagiv

In the paper the problem of verification of functional programs (FPs) over strings is considered, where specifications of properties of FPs are defined by other FPs, and a FP S1 meets a specification defined by another FP S2 iff a…

Logic in Computer Science · Computer Science 2016-04-15 Andrew M. Mironov

Configuring consists in simulating the realization of a complex product from a catalog of component parts, using known relations between types, and picking values for object attributes. This highly combinatorial problem in the field of…

Artificial Intelligence · Computer Science 2007-05-23 Stephane Grandcolas , Laurent Henocque , Nicolas Prcovic

Many promising quantum algorithms in economics, medical science, and material science rely on circuits that are parameterized by a large number of angles. To ensure that these algorithms are efficient, these parameterized circuits must be…

Quantum Physics · Physics 2025-07-09 Neil J. Ross , Scott Wesley