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Multi-stack pushdown systems are a well-studied model of concurrent computation using threads with first-order procedure calls. While, in general, reachability is undecidable, there are numerous restrictions on stack behaviour that lead to…

Formal Languages and Automata Theory · Computer Science 2013-10-11 Matthew Hague

Many problems of practical interest rely on Continuous-time Markov chains~(CTMCs) defined over combinatorial state spaces, rendering the computation of transition probabilities, and hence probabilistic inference, difficult or impossible…

The implementation of digital filters in processors based on fixed-point arithmetic can lead to problems related to the finite word-length. In particular, the processing of signals in such filters can produce overflows and unwanted noise…

Software Engineering · Computer Science 2013-07-24 Renato B. Abreu , Lucas Cordeiro , Eddie B. L. Filho

We consider linear dynamical systems under floating-point rounding. In these systems, a matrix is repeatedly applied to a vector, but the numbers are rounded into floating-point representation after each step (i.e., stored as a…

Logic in Computer Science · Computer Science 2023-01-30 Engel Lefaucheux , Joël Ouaknine , David Purser , Mohammadamin Sharifi

Reasoning about array data structures is a key requirement for many applications in hardware and software verification, especially in combination with machine integers. The Satisfiability Modulo Theories (SMT) theory of extensional arrays…

Logic in Computer Science · Computer Science 2026-05-20 Mathias Preiner , Aina Niemetz , Clark Barrett

Constructing accurate interatomic potential and overcoming the exponential growth of structural equilibration time are challenges to the atomistic investigations of the composition-dependent structure and dynamics during the vitrification…

Materials Science · Physics 2023-02-14 Rui Su , Jieyi Yu , Pengfei Guan , Weihua Wang

Recently, integrability conditions (ICs) in mutistate Landau-Zener (MLZ) theory were proposed [1]. They describe common properties of all known solved systems with linearly time-dependent Hamiltonians. Here we show that ICs enable efficient…

Quantum Physics · Physics 2017-06-28 Nikolai A. Sinitsyn , Vladimir Y. Chernyak

We introduce a model of infinitary computation which enhances the infinite time Turing machine model slightly but in a natural way by giving the machines the capability of detecting cardinal stages of computation. The computational strength…

Logic · Mathematics 2013-10-22 Miha E. Habič

Physical systems are modelled and investigated within simulation software in an increasing range of applications. In reality an investigation of the system is often performed by empirical test scenarios which are related to typical…

Machine Learning · Statistics 2018-10-05 Dirk Surmann , Uwe Ligges , Claus Weihs

A system is data-independent with respect to a data type X iff the operations it can perform on values of type X are restricted to just equality testing. The system may also store, input and output values of type X. We study model checking…

Logic in Computer Science · Computer Science 2007-05-23 R. S. Lazic , T. C. Newcomb , A. W. Roscoe

Variability models allow effective building of many custom model variants for various configurations. Lifted model checking for a variability model is capable of verifying all its variants simultaneously in a single run by exploiting the…

Programming Languages · Computer Science 2019-02-18 Aleksandar S. Dimovski , Axel Legay , Andrzej Wasowski

Timed Automata (TA) is de facto a standard modelling formalism to represent systems when the interest is the analysis of their behaviour as time progresses. This modelling formalism is mostly used for checking whether the behaviours of a…

Logic in Computer Science · Computer Science 2019-09-11 Claudio Menghi , Marcello Bersani , Matteo Rossi , Pierluigi San Pietro

Model-checking the alternating-time temporal logics ATL and ATL* with incomplete information is undecidable for perfect recall semantics. However, when restricting to memoryless strategies the model-checking problem becomes decidable. In…

Computer Science and Game Theory · Computer Science 2013-07-18 Steen Vester

We study the model checking problem of Hyper2LTL over finite structures. Hyper2LTL is a second-order hyperlogic, that extends the well-studied logic HyperLTL by adding quantification over sets of traces, to express complex hyperproperties…

Logic in Computer Science · Computer Science 2026-01-29 Bernd Finkbeiner , Hadar Frenkel , Tim Rohde

We consider the problem of verification modulo tested library contracts as a step towards automating the verification of client programs that use complex libraries. We formulate this problem as the synthesis of modular contracts for the…

Programming Languages · Computer Science 2026-05-11 Abhishek Uppar , Omar Muhammad , Sumanth Prabhu , Deepak D'Souza , Madhusudan P , Adithya Murali

Timed automata (TAs) are a common formalism for modeling timed systems. Bounded model checking (BMC) is a verification method that searches for runs violating a property using a SAT or SMT solver. MITL is a real-time extension of the linear…

Logic in Computer Science · Computer Science 2013-04-29 Roland Kindermann , Tommi Junttila , Ilkka Niemelä

In this paper we consider two different views of the model checking problems for the Linear Temporal Logic (LTL). On the one hand, we consider the universal model checking problem for LTL, where one asks that for a given system and a given…

Logic in Computer Science · Computer Science 2024-09-30 Damien Busatto-Gaston , Youssouf Oualhadj , Léo Tible , Daniele Varacca

Rewriting logic and its implementation Maude are a natural and expressive framework for the specification of concurrent systems and logics. Its nondeterministic local transformations are described by rewriting rules, which can be controlled…

Logic in Computer Science · Computer Science 2024-01-17 Rubén Rubio , Narciso Martí-Oliet , Isabel Pita , Alberto Verdejo

This paper introduces the abstraction of max-plus linear (MPL) systems via predicates. Predicates are automatically selected from system matrix, as well as from the specifications under consideration. We focus on verifying time-difference…

Logic in Computer Science · Computer Science 2019-07-09 Muhammad Syifa'ul Mufid , Dieky Adzkiya , Alessandro Abate

We study the expressivity and complexity of model checking linear temporal logic with team semantics (TeamLTL). TeamLTL, despite being a purely modal logic, is capable of defining hyperproperties, i.e., properties which relate multiple…

Logic in Computer Science · Computer Science 2021-11-24 Jonni Virtema , Jana Hofmann , Bernd Finkbeiner , Juha Kontinen , Fan Yang