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Machine learning models are increasingly deployed for critical decision-making tasks, making it important to verify that they do not contain gender or racial biases picked up from training data. Typical approaches to achieve fairness…

Machine Learning · Computer Science 2022-12-19 Giorgian Borca-Tasciuc , Xingzhi Guo , Stanley Bak , Steven Skiena

In this paper we consider the specification and verification of infinite-state systems using temporal logic. In particular, we describe parameterised systems using a new variety of first-order temporal logic that is both powerful enough for…

Logic in Computer Science · Computer Science 2007-05-23 Clare Dixon , Michael Fisher , Boris Konev , Alexei Lisitsa

We present the first fully automatic framework for verifying relational properties of parameterized quantum programs, i.e., a program that, given an input size, generates a corresponding quantum circuit. We focus on verifying input-output…

Logic in Computer Science · Computer Science 2025-12-03 Parosh Aziz Abdulla , Yu-Fang Chen , Michal Hečko , Lukáš Holík , Ondřej Lengál , Jyun-Ao Lin , Ramanathan S. Thinniyam

Binary decision diagrams can compactly represent vast sets of states, mitigating the state space explosion problem in model checking. Probabilistic systems, however, require multi-terminal diagrams storing rational numbers. They are…

Logic in Computer Science · Computer Science 2020-01-14 Ernst Moritz Hahn , Arnd Hartmanns

We are interested in verifying dynamic properties of finite state reactive systems under fairness assumptions by model checking. The systems we want to verify are specified through a top-down refinement process. In order to deal with the…

Logic in Computer Science · Computer Science 2011-11-10 Samir Chouali , Jacques Julliand , Pierre-Alain Masson , Françoise Bellegarde

In this work, we consider the almost-sure termination problem for probabilistic programs that asks whether a given probabilistic program terminates with probability 1. Scalable approaches for program analysis often rely on modularity as…

Logic in Computer Science · Computer Science 2019-08-13 Mingzhang Huang , Hongfei Fu , Krishnendu Chatterjee , Amir Kafshdar Goharshady

Verification of infinite-state Markov chains is still a challenge despite several fruitful numerical or statistical approaches. For decisive Markov chains, there is a simple numerical algorithm that frames the reachability probability as…

Logic in Computer Science · Computer Science 2024-09-30 Benoît Barbot , Patricia Bouyer , Serge Haddad

Active object systems are a model of distributed computation that has been adopted for modelling distributed systems and business process workflows. This field of modelling is, in essence, concurrent and resource-aware, motivating the…

Programming Languages · Computer Science 2025-08-22 Francesco Dagnino , Paola Giannini , Violet Ka I Pun , Ulises Torrella

The chase procedure for existential rules is an indispensable tool for several database applications, where its termination guarantees the decidability of these tasks. Most previous studies have focused on the skolem chase variant and its…

Logic in Computer Science · Computer Science 2020-05-13 Arash Karimi , Heng Zhang , Jia-Huai You

The problem of determining whether a probabilistic program terminates almost surely (i.e.~with probability one) is undecidable, and actually $\Pi^0_2$-complete. For this reason, a growing literature has explored classes of programs for…

Logic in Computer Science · Computer Science 2026-05-01 Ugo Dal Lago , Guido Fiorillo , Paolo Pistone

Ensuring safety through set invariance has proven to be a valuable method in various robotics and control applications. This paper introduces a comprehensive framework for the safe probabilistic invariance verification of both discrete- and…

Systems and Control · Electrical Eng. & Systems 2024-08-06 Taoran Wu , Yiqing Yu , Bican Xia , Ji Wang , Bai Xue

Predictive modeling is increasingly being employed to assist human decision-makers. One purported advantage of replacing human judgment with computer models in high stakes settings-- such as sentencing, hiring, policing, college admissions,…

Machine Learning · Statistics 2016-10-27 Kristian Lum , James Johndrow

We consider the verification of distributed systems composed of an arbitrary number of asynchronous processes. Processes are identical finite-state machines that communicate by reading from and writing to a shared memory. Beyond the…

Formal Languages and Automata Theory · Computer Science 2023-08-01 Nicolas Waldburger

The verification of reductions, representative subsets of interleavings, simplifies correctness proofs of parameterized concurrent programs. We introduce an expressive class of syntactic reductions, which we call natural reductions. Natural…

Programming Languages · Computer Science 2026-05-14 Constantin Enea , Azadeh Farzan , Dominik Klumpp

We introduce a way to parameterize automata and games on finite graphs with natural numbers. The parameters are accessed essentially by allowing counting down from the parameter value to 0 and branching depending on whether 0 has been…

Computer Science and Game Theory · Computer Science 2018-09-11 Arno Pauly

Guarded protocols were introduced in a seminal paper by Emerson and Kahlon (2000), and describe systems of processes whose transitions are enabled or disabled depending on the existence of other processes in certain local states. We study…

Logic in Computer Science · Computer Science 2016-09-05 Simon Außerlechner , Swen Jacobs , Ayrat Khalimov

Probabilistic programming combines general computer programming, statistical inference, and formal semantics to help systems make decisions when facing uncertainty. Probabilistic programs are ubiquitous, including having a significant…

Logic in Computer Science · Computer Science 2024-09-30 Kangfeng Ye , Jim Woodcock , Simon Foster

We consider the almost-sure (a.s.) termination problem for probabilistic programs, which are a stochastic extension of classical imperative programs. Lexicographic ranking functions provide a sound and practical approach for termination of…

Programming Languages · Computer Science 2021-08-05 Krishnendu Chatterjee , Ehsan Kafshdar Goharshady , Petr Novotný , Jiří Zárevúcky , Đorđe Žikelić

We argue that parameterized complexity is a useful tool with which to study global constraints. In particular, we show that many global constraints which are intractable to propagate completely have natural parameters which make them…

Artificial Intelligence · Computer Science 2009-03-04 Christian Bessiere , Emmanuel Hebrard , Brahim Hnich , Zeynep Kiziltan , Toby Walsh

We explore the following question: Is a decision-making program fair, for some useful definition of fairness? First, we describe how several algorithmic fairness questions can be phrased as program verification problems. Second, we discuss…

Programming Languages · Computer Science 2016-10-20 Aws Albarghouthi , Loris D'Antoni , Samuel Drews , Aditya Nori