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Propositional and modal inclusion logic are formalisms that belong to the family of logics based on team semantics. This article investigates the model checking and validity problems of these logics. We identify complexity bounds for both…

Logic in Computer Science · Computer Science 2017-04-25 Lauri Hella , Antti Kuusisto , Arne Meier , Jonni Virtema

In spatially located, large scale systems, time and space dynamics interact and drives the behaviour. Examples of such systems can be found in many smart city applications and Cyber-Physical Systems. In this paper we present the Signal…

Logic in Computer Science · Computer Science 2023-06-22 L. Nenzi , L. Bortolussi , V. Ciancia , M. Loreti , M. Massink

This paper studies the complexity of classical modal logics and of their extension with fixed-point operators, using translations to transfer results across logics. In particular, we show several complexity results for multi-agent logics…

Logic in Computer Science · Computer Science 2022-09-22 Luca Aceto , Antonis Achilleos , Elli Anastasiadi , Adrian Francalanza , Anna Ingolfsdottir

Hyperproperties are system properties that relate multiple execution traces and commonly occur when specifying information-flow and security policies. Logics like HyperLTL utilize explicit quantification over execution traces to express…

Logic in Computer Science · Computer Science 2025-12-30 Raven Beutner , Bernd Finkbeiner

Model checking is a powerful method widely explored in formal verification. Given a model of a system, e.g., a Kripke structure, and a formula specifying its expected behaviour, one can verify whether the system meets the behaviour by…

Logic in Computer Science · Computer Science 2019-02-07 A. Molinari , A. Montanari , A. Murano , G. Perelli , A. Peron

The paper explores properties of the {\L}ukasiewicz {\mu}-calculus, or {\L}{\mu} for short, an extension of {\L}ukasiewicz logic with scalar multiplication and least and greatest fixed-point operators (for monotone formulas). We observe…

Logic in Computer Science · Computer Science 2015-10-06 Matteo Mio , Alex Simpson

We investigate the expressive power of the two main kinds of program logics for complex, non-regular program properties found in the literature: those extending propositional dynamic logic (PDL), and those extending the modal mu-calculus.…

Logic in Computer Science · Computer Science 2021-08-25 Eric Alsmann , Florian Bruse , Martin Lange

Effectively translating between natural language (NL) and formal logics like Linear Temporal Logic (LTL) requires expertise that limits formal verification's reach in safety-critical development. Template-based approaches sacrifice…

Artificial Intelligence · Computer Science 2026-05-25 Paapa Kwesi Quansah , Ernest Bonnah

Logics and model-checking have been successfully used in the last decades for modeling and verification of various types of hardware (and software) systems. While most languages and techniques emerged in a context of monolithic systems with…

Software Engineering · Computer Science 2016-07-14 Manuel Mazzara

[...] The most famous model checking (MC) techniques were developed from the late 80s, bearing in mind the well-known "point-based" temporal logics LTL and CTL. However, while the expressiveness of such logics is beyond doubt, there are…

Logic in Computer Science · Computer Science 2019-02-12 Alberto Molinari

This paper studies the complexity of classical modal logics and of their extension with fixed-point operators, using translations to transfer results across logics. In particular, we show several complexity results for multi-agent logics…

Logic in Computer Science · Computer Science 2024-08-14 Luca Aceto , Antonis Achilleos , Elli Anastasiadi , Adrian Francalanza , Anna Ingólfsdóttir

Within Model-Driven Software Engineering, Domain-Specific Modelling has proven to be a powerful technique to specify systems and systems' behaviour in a formal, yet understandable way. Runtime verification (RV) has been successfully used to…

Software Engineering · Computer Science 2020-05-26 Fernando Macías , Adrian Rutle , Volker Stolz , Torben Scheffel , Malte Schmitz

We delineate a methodology for the specification and verification of flow security properties expressible in the opacity framework. We propose a logic, OpacTL , for straightforwardly expressing such properties in systems that can be…

Cryptography and Security · Computer Science 2022-06-30 Chunyan Mu , David Clark

In this paper we work on (bi)simulation semantics of processes that exhibit both nondeterministic and probabilistic behaviour. We propose a probabilistic extension of the modal mu-calculus and show how to derive characteristic formulae for…

Logic in Computer Science · Computer Science 2015-05-19 Yuxin Deng , Rob van Glabbeek

We present the PML 2 language, which provides a uniform environment for programming, and for proving properties of programs in an ML-like setting. The language is Curry-style and call-by-value, it provides a control operator (interpreted in…

Logic in Computer Science · Computer Science 2019-01-11 Rodolphe Lepigre

There are two fundamentally different approaches to specifying and verifying properties of systems. The logical approach makes use of specifications given as formulae of temporal or modal logics and relies on efficient model checking…

Logic in Computer Science · Computer Science 2013-06-05 Nikola Beneš , Benoît Delahaye , Uli Fahrenberg , Jan Křetínský , Axel Legay

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

We propose a verified approach to the formal verification of timed properties using model-checking techniques. We focus on properties expressed using real-time specification patterns, which can be viewed as a subset of timed temporal logics…

Logic in Computer Science · Computer Science 2013-02-01 Nouha Abid , Silvano Dal Zilio , Didier Le Botlan

The polyadic mu-calculus is a modal fixpoint logic whose formulas define relations of nodes rather than just sets in labelled transition systems. It can express exactly the polynomial-time computable and bisimulation-invariant queries on…

Logic in Computer Science · Computer Science 2015-09-11 Martin Lange

We introduce a new notion of structural refinement, a sound abstraction of logical implication, for the modal nu-calculus. Using new translations between the modal nu-calculus and disjunctive modal transition systems, we show that these two…

Logic in Computer Science · Computer Science 2014-06-11 Uli Fahrenberg , Axel Legay , Louis-Marie Traonouez