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Related papers: Model-Checking the Higher-Dimensional Modal mu-Cal…

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We address the problem of complementing higher-order patterns without repetitions of existential variables. Differently from the first-order case, the complement of a pattern cannot, in general, be described by a pattern, or even by a…

Logic in Computer Science · Computer Science 2008-10-22 Alberto Momigliano , Frank Pfenning

We discuss the multilevel control problem for linear dynamical systems, consisting in designing a piece-wise constant control function taking values in a finite-dimensional set. In particular, we provide a complete characterization of…

Optimization and Control · Mathematics 2021-09-07 Umberto Biccari , Enrique Zuazua

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

Quantitative properties of stochastic systems are usually specified in logics that allow one to compare the measure of executions satisfying certain temporal properties with thresholds. The model checking problem for stochastic systems with…

Logic in Computer Science · Computer Science 2010-05-11 Axel Legay , Benoit Delahaye

Covariant-contravariant simulation is a combination of standard (covariant) simulation, its contravariant counterpart and bisimulation. We have previously studied its logical characterization by means of the covariant-contravariant modal…

Logic in Computer Science · Computer Science 2011-08-24 Luca Aceto , Ignacio Fábregas , David de Frutos-Escrig , Anna Ingólfsdóttir , Miguel Palomino

We present an extension of an algorithm for computing directly the denotation of a mu-calculus formula X over the configuration graph of a pushdown system to allow backwards modalities. Our method gives the first extension of the saturation…

Formal Languages and Automata Theory · Computer Science 2010-07-01 M. Hague , C. -H. L. Ong

Probabilistic model checking is an approach to the formal modelling and analysis of stochastic systems. Over the past twenty five years, the number of different formalisms and techniques developed in this field has grown considerably, as…

Logic in Computer Science · Computer Science 2025-09-17 Marta Kwiatkowska , Gethin Norman , David Parker

Periodic control systems used in spacecrafts and automotives are usually period-driven and can be decomposed into different modes with each mode representing a system state observed from outside. Such systems may also involve intensive…

Systems and Control · Computer Science 2012-07-05 Zheng Wang , Geguang Pu , Shenchao Qin , Jianwen Li , Kim G. Larsen , Jan Madsen , Bin Gu , Jifeng He

Calculi with control operators have been studied as extensions of simple type theory. Real programming languages contain datatypes, so to really understand control operators, one should also include these in the calculus. As a first step in…

Logic in Computer Science · Computer Science 2012-11-07 Herman Geuvers , Robbert Krebbers , James McKinna

There is a strong consensus that combining the versatility of machine learning with the assurances given by formal verification is highly desirable. It is much less clear what verified machine learning should mean exactly. We consider this…

Machine Learning · Computer Science 2021-02-15 Tonicha Crook , Jay Morgan , Arno Pauly , Markus Roggenbach

Some Magic Tricks (MT), such as many kinds of Card Magic (CM), consisting of human computational or logical actions. How to ensure the logical correctness of these MTs? In this paper, the Model Checking (MC) technique is employed to study a…

Logic in Computer Science · Computer Science 2024-02-22 Weijun Zhu

Generalizing standard monadic second-order logic for Kripke models, we introduce monadic second-order logic interpreted over coalgebras for an arbitrary set functor. We then consider invariance under behavioral equivalence of MSO-formulas.…

Logic in Computer Science · Computer Science 2019-03-14 Sebastian Enqvist , Fatemeh Seifan , Yde Venema

Transaction-level modeling with SystemC has been very successful in describing the behavior of embedded systems by providing high-level executable models, in which many of them have inherent probabilistic behaviors, e.g., random data and…

Software Engineering · Computer Science 2017-12-07 Van Chan Ngo , Axel Legay

Parameterization extends higher-order processes with the capability of abstraction and application (like those in lambda-calculus). This extension is strict, i.e., higher-order processes equipped with parameterization is computationally…

Logic in Computer Science · Computer Science 2016-08-11 Xian Xu

The logic programming paradigm provides the basis for a new intensional view of higher-order notions. This view is realized primarily by employing the terms of a typed lambda calculus as representational devices and by using a richer form…

Programming Languages · Computer Science 2007-05-23 Gopalan Nadathur

Higher dimensional automata (HDA) are a model of concurrency that can express most of the traditional partial order models like Mazurkiewicz traces, pomsets, event structures, or Petri nets. Modal logics, interpreted over Kripke structures,…

Logic in Computer Science · Computer Science 2014-05-19 Cristian Prisacariu

A term calculus for the proofs in multiplicative-additive linear logic is introduced and motivated as a programming language for channel based concurrency. The term calculus is proved complete for a semantics in linearly distributive…

Category Theory · Mathematics 2010-03-03 J. R. B. Cockett , C. A. Pastro

The interplay between process behaviour and spatial aspects of computation has become more and more relevant in Computer Science, especially in the field of collective adaptive systems, but also, more generally, when dealing with systems…

Logic in Computer Science · Computer Science 2014-06-27 Vincenzo Ciancia , Diego Latella , Michele Loreti , Mieke Massink

The semantics of alternating-time temporal logic (ATL) and the more expressive alternating-time {\mu}-calculus (AMC) is standardly given in terms of concurrent game frames (CGF). The information required to interpret AMC formulas is…

Logic in Computer Science · Computer Science 2025-06-03 Daniel Hausmann , Merlin Humml , Simon Prucker , Lutz Schröder

With a view towards models of quantum computation and/or the interpretation of linear logic, we define a functional language where all functions are linear operators by construction. A small step operational semantic (and hence an…

Quantum Physics · Physics 2017-08-29 Pablo Arrighi , Gilles Dowek