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We define a new method for taking advantage of net reductions in combination with a SMT-based model checker. Our approach consists in transforming a reachability problem about some Petri net, into the verification of an updated reachability…

Logic in Computer Science · Computer Science 2023-06-22 Nicolas Amat , Bernard Berthomieu , Silvano Dal Zilio

Linear constraint transformation is an essential step to solve the forbidden state problem in Petri nets that contain uncontrollable transitions. This work studies the equivalent transformation from a legal-marking set to its…

Formal Languages and Automata Theory · Computer Science 2015-01-21 ShouGuang Wang , Dan You , MengChu Zhou , Carla Seatsu

Propositional term modal logic is interpreted over Kripke structures with unboundedly many accessibility relations and hence the syntax admits variables indexing modalities and quantification over them. This logic is undecidable, and we…

Logic in Computer Science · Computer Science 2019-01-01 Anantha Padmanabha , R Ramanujam

A marked Petri net is lucent if there are no two different reachable markings enabling the same set of transitions, i.e., states are fully characterized by the transitions they enable. This paper explores the class of marked Petri nets that…

Logic in Computer Science · Computer Science 2020-09-10 Wil M. P. van der Aalst

Many real networks feature the property of nestedness, i.e. the neighbours of nodes with a few connections are hierarchically nested within the neighbours of nodes with more connections. Despite the abstract simplicity of this notion,…

Physics and Society · Physics 2020-12-08 Matteo Bruno , Fabio Saracco , Diego Garlaschelli , Claudio J. Tessone , Guido Caldarelli

When translating a term calculus into a graphical formalism many inessential details are abstracted away. In the case of $\lambda$-calculus translated to proof-nets, these inessential details are captured by a notion of equivalence on…

Logic in Computer Science · Computer Science 2024-08-07 Eduardo Bonelli , Delia Kesner , Andrés Viso

This paper studies the complexity of determining whether a formula in the modal logics characterizing the nested-simulation semantics is characteristic for some process, which is equivalent to determining whether the formula is satisfiable…

Logic in Computer Science · Computer Science 2025-09-18 Luca Aceto , Antonis Achilleos , Aggeliki Chalki , Anna Ingólfsdóttir

We introduce $(\gamma,\delta)$-similarity, a notion of system comparison that measures to what extent two stable linear dynamical systems behave similarly in an input-output sense. This behavioral similarity is characterized by measuring…

Optimization and Control · Mathematics 2023-12-20 Armin Pirastehzad , Arjan van der Schaft , Bart Besselink

Simile recognition is to detect simile sentences and to extract simile components, i.e., tenors and vehicles. It involves two subtasks: {\it simile sentence classification} and {\it simile component extraction}. Recent work has shown that…

Computation and Language · Computer Science 2019-12-20 Jiali Zeng , Linfeng Song , Jinsong Su , Jun Xie , Wei Song , Jiebo Luo

We formalise the pi-calculus using the nominal datatype package, based on ideas from the nominal logic by Pitts et al., and demonstrate an implementation in Isabelle/HOL. The purpose is to derive powerful induction rules for the semantics…

Logic in Computer Science · Computer Science 2015-07-01 Jesper Bengtson , Joachim Parrow

Probabilistic bisimulation is a fundamental notion of process equivalence for probabilistic systems. Among others, it has important applications including formalizing the anonymity property of several communication protocols. There is a lot…

Software Engineering · Computer Science 2020-11-05 Chih-Duo Hong , Anthony W. Lin , Rupak Majumdar , Philipp Rümmer

In this work we present a computation paradigm based on a concurrent and incremental construction of proof nets (de-sequentialized or graphical proofs) of the pure multiplicative and additive fragment of Linear Logic, a resources conscious…

Logic in Computer Science · Computer Science 2012-10-23 Roberto Maieli

We formalise a general concept of distributed systems as sequential components interacting asynchronously. We define a corresponding class of Petri nets, called LSGA nets, and precisely characterise those system specifications which can be…

Logic in Computer Science · Computer Science 2015-07-01 Rob J. van Glabbeek , Ursula Goltz , Jens-Wolfhard Schicke-Uffmann

This paper introduces the counterpart of strong bisimilarity for labelled transition systems extended with time-out transitions. It supports this concept through a modal characterisation, congruence results for a standard process algebra…

Logic in Computer Science · Computer Science 2023-01-25 Rob van Glabbeek

Measuring similarity of neural networks to understand and improve their behavior has become an issue of great importance and research interest. In this survey, we provide a comprehensive overview of two complementary perspectives of…

Machine Learning · Computer Science 2025-05-22 Max Klabunde , Tobias Schumacher , Markus Strohmaier , Florian Lemmerich

As new instances of nested organization --beyond ecological networks-- are discovered, scholars are debating around the co-existence of two apparently incompatible macroscale architectures: nestedness and modularity. The discussion is far…

Physics and Society · Physics 2018-06-13 Albert Solé-Ribalta , Claudio J. Tessone , Manuel S. Mariani , Javier Borge-Holthoefer

This note sketches the extension of the basic characterisation theorems as the bisimulation-invariant fragment of first-order logic to modal logic with graded modalities and matching adaptation of bisimulation. We focus on showing…

Logic · Mathematics 2023-07-19 Martin Otto

Brute-force model-checking consists in exhaustive exploration of the state-space of a Petri net, and meets the dreaded state-space explosion problem. In contrast, this paper shows how to solve model-checking problems using a combination of…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-06-22 Yann Thierry-Mieg

In general, the behavior of large and complex aggregates of elementary components can not be understood nor extrapolated from the properties of a few components. The brain is a good example of this type of networked systems where some…

Chaotic Dynamics · Physics 2012-08-02 Ricardo Lopez-Ruiz , Daniele Fournier-Prunaret

Modular verification is a technique used to face the state explosion problem often encountered in the verification of properties of complex systems such as concurrent interactive systems. The modular approach is based on the observation…

Logic in Computer Science · Computer Science 2012-11-20 Peter Drábik , Andrea Maggiolo-Schettini , Paolo Milazzo
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