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We consider the problem of model--checking for Process Rewrite Systems (PRSs) in normal form. In a PRS in normal form every rewrite rule either only deals with procedure calls and procedure termination, possibly with value return, (this…

Other Computer Science · Computer Science 2007-05-23 Laura Bozzelli

In this paper we consider the problem of proving properties of infinite behaviour of formalisms suitable to describe (infinite state) systems with recursion and parallelism. As a formal setting, we consider the framework of Process…

Logic in Computer Science · Computer Science 2011-11-09 Laura Bozzelli , Massimo Benerecetti , Adriano Peron

By algorithmic metatheorems for a model checking problem P over infinite-state systems we mean generic results that can be used to infer decidability (possibly complexity) of P not only over a specific class of infinite systems, but over a…

Logic in Computer Science · Computer Science 2009-10-28 Anthony Widjaja To , Leonid Libkin

In this communication, we resolve a longstanding open question in the probabilistic verification of infinite-state systems. We show that model checking {\it stateless probabilistic pushdown systems (pBPA)} against {\it probabilistic…

Logic in Computer Science · Computer Science 2025-07-02 Deren Lin , Tianrong Lin

Metric Temporal Logic (MTL) is a prominent specification formalism for real-time systems. In this paper, we show that the satisfiability problem for MTL over finite timed words is decidable, with non-primitive recursive complexity. We also…

Logic in Computer Science · Computer Science 2017-01-11 Joel Ouaknine , James Worrell

We develop model checking algorithms for Temporal Stream Logic (TSL) and Hyper Temporal Stream Logic (HyperTSL) modulo theories. TSL extends Linear Temporal Logic (LTL) with memory cells, functions and predicates, making it a convenient and…

Logic in Computer Science · Computer Science 2023-03-28 Bernd Finkbeiner , Hadar Frenkel , Jana Hofmann , Janine Lohse

Hyperproperties generalize trace properties by expressing relations between multiple computations. Hyperpropertes include policies from information-flow security, like observational determinism or non-interference, and many other system…

Logic in Computer Science · Computer Science 2021-07-27 Bernd Finkbeiner

The analysis of complex dynamic systems is a core research topic in formal methods and AI, and combined modelling of systems with data has gained increasing importance in applications such as business process management. In addition,…

Logic in Computer Science · Computer Science 2022-05-19 Paolo Felli , Marco Montali , Sarah Winkler

Verification of large and complicated concurrent programs is an important issue in the software world. Stateless model checking is an appropriate method for systematically and automatically testing of large programs, which has proved its…

Programming Languages · Computer Science 2016-03-14 Elaheh Ghassabani , Mohammad Abdollahi Azgomi

It is well known that the verification of resource-constrained multiagent systems is undecidable in general. In many such settings, resources are private to agents. In this paper, we investigate the model checking problem for a resource…

Logic in Computer Science · Computer Science 2015-08-17 Nils Bulling , Hoang Nga Nguyen

Pushdown systems (PDS) are known as an abstract model of recursive programs, and model checking methods for PDS have been studied. Register PDS (RPDS) are PDS augmented by registers to deal with data values from an infinite domain in a…

Formal Languages and Automata Theory · Computer Science 2022-09-14 Yoshiaki Takata , Ryoma Senda , Hiroyuki Seki

In a software product line (SPL), a collection of software products is defined by their commonalities in terms of features rather than explicitly specifying all products one-by-one. Several verification techniques were adapted to establish…

Software Engineering · Computer Science 2013-12-31 Clemens Dubslaff , Sascha Klüppelholz , Christel Baier

Lossy channel systems (LCSs) are systems of finite state automata that communicate via unreliable unbounded fifo channels. In order to circumvent the undecidability of model checking for nondeterministic LCSs, probabilistic models have been…

Logic in Computer Science · Computer Science 2012-03-19 Christel Baier , Nathalie Bertrand , Philippe Schnoebelen

Regular model checking is a well-established technique for the verification of regular transition systems (RTS): transition systems whose initial configurations and transition relation can be effectively encoded as regular languages. In…

Formal Languages and Automata Theory · Computer Science 2025-06-24 Javier Esparza , Valentin Krasotin

Recent studies reveal that branching bisimilarity is decidable for both nBPP (normed Basic Parallel Process) and nBPA (normed Basic Process Algebra). These results lead to the question if there are any other models in the hierarchy of PRS…

Logic in Computer Science · Computer Science 2014-04-29 Qiang Yin , Yuxi Fu , Chaodong He , Mingzhang Huang , Xiuting Tao

We consider the model checking problem for probabilistic pushdown automata (pPDA) and properties expressible in various probabilistic logics. We start with properties that can be formulated as instances of a generalized random walk problem.…

Logic in Computer Science · Computer Science 2017-01-11 Javier Esparza , Antonin Kucera , Richard Mayr

Formal verification using the model checking paradigm has to deal with two aspects: The system models are structured, often as products of components, and the specification logic has to be expressive enough to allow the formalization of…

Logic in Computer Science · Computer Science 2015-07-01 Stefan Wöhrle , Wolfgang Thomas

We propose a formal proof of the undecidability of the model checking problem for alternating- time temporal logic under imperfect information and perfect recall semantics. This problem was announced to be undecidable according to a…

Logic in Computer Science · Computer Science 2011-02-22 Catalin Dima , Ferucio Laurentiu Tiplea

In this paper we investigate the applicability of standard model checking approaches to verifying properties in probabilistic programming. As the operational model for a standard probabilistic program is a potentially infinite parametric…

Programming Languages · Computer Science 2016-07-28 Nils Jansen , Christian Dehnert , Benjamin Lucien Kaminski , Joost-Pieter Katoen , Lukas Westhofen

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
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