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Related papers: A Bisimulation-based Method for Proving the Validi…

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We present a theory of environmental bisimilarity for the delimited-control operators {\it shift} and {\it reset}. We consider two different notions of contextual equivalence: one that does not require the presence of a top-level control…

Programming Languages · Computer Science 2013-09-17 Dariusz Biernacki , Sergueï Lenglet

This paper explores verification of constituent systems within the context of the Symphony tool platform for Systems of Systems (SoS). Our SoS modelling language, CML, supports various contractual specification elements, such as state…

Software Engineering · Computer Science 2014-05-09 Luis Diogo Couto , Simon Foster , Richard Payne

Our concrete objective is to present both ordinary bisimulations and probabilistic bisimulations in a common coalgebraic framework based on multiset bisimulations. For that we show how to relate the underlying powerset and probabilistic…

Logic in Computer Science · Computer Science 2024-02-05 David de Frutos-Escrig , Miguel Palomino , Ignacio Fábregas

We propose a general proof technique to show that a predicate is sound, that is, prevents stuck computation, with respect to a big-step semantics. This result may look surprising, since in big-step semantics there is no difference between…

Programming Languages · Computer Science 2020-03-26 Francesco Dagnino , Viviana Bono , Elena Zucca , Mariangiola Dezani-Ciancaglini

Many practical engineering systems and their components have multiple performance levels and failure modes. If these systems form a monotonically increasing structure function (system model) with respect to the performance of their…

Logic in Computer Science · Computer Science 2021-12-28 Shahid Ali Murtza , Waqar Ahmed , Adnan Rashid , Osman Hasan

We propose a method for the decomposition of modal formulae on processes with nondeterminism and probability with respect to Structural Operational Semantics. The purpose is to reduce the satisfaction problem of a formula for a process to…

Logic in Computer Science · Computer Science 2023-06-22 Valentina Castiglioni , Daniel Gebler , Simone Tini

In this paper, we address the problem of safety verification of interval hybrid systems in which the coefficients are intervals instead of explicit numbers. A hybrid symbolic-numeric method, based on SOS relaxation and interval arithmetic…

Symbolic Computation · Computer Science 2013-02-26 Zhengfeng Yang , Min Wu , Wang Lin

We prove a general congruence result for bisimilarity in higher-order languages, which generalises previous work to languages specified by a labelled transition system in which programs may occur as labels, and which may rely on operations…

Logic in Computer Science · Computer Science 2023-03-22 Tom Hirschowitz , Ambroise Lafont

This paper presents the Pi-graphs, a visual paradigm for the modelling and verification of mobile systems. The language is a graphical variant of the Pi-calculus with iterators to express non-terminating behaviors. The operational semantics…

Formal Languages and Automata Theory · Computer Science 2010-11-02 Frédéric Peschanski , Hanna Klaudel , Raymond Devillers

We present a semantic framework for the deductive verification of hybrid systems with Isabelle/HOL. It supports reasoning about the temporal evolutions of hybrid programs in the style of differential dynamic logic modelled by flows or…

Logic in Computer Science · Computer Science 2021-09-21 Jonathan Julián Huerta y Munive , Georg Struth

We investigate a canonical way of defining bisimilarity of systems when their semantics is given by a coreflection, typically in a category of transition systems. We use the fact, from Joyal et al., that coreflections preserve open…

Logic in Computer Science · Computer Science 2018-09-26 Jérémy Dubut , Ichiro Hasuo , Shin-ya Katsumata , David Sprunger

Higher-order abstract GSOS is a recent extension of Turi and Plotkin's framework of Mathematical Operational Semantics to higher-order languages. The fundamental well-behavedness property of all specifications within the framework is that…

Programming Languages · Computer Science 2023-09-29 Henning Urbat , Stelios Tsampas , Sergey Goncharov , Stefan Milius , Lutz Schröder

Formal verification of traditional algorithms are of great significance due to their wide application in state-of-the-art software. Timsort is a complicated and hybrid stable sorting algorithm, derived from merge sort and insertion sort.…

Software Engineering · Computer Science 2018-12-11 Yu Zhang , Yongwang Zhao , David Sanan

Using a bit-string model similar to biological simulations, the competition between different languages is simulated both without and with spatial structure. We compare our agent-based work with differential equations and the competing…

Physics and Society · Physics 2009-11-11 Christian Schulze , Dietrich Stauffer

We propose a way of reasoning about minimal and maximal values of the weights of transitions in a weighted transition system (WTS). This perspective induces a notion of bisimulation that is coarser than the classic bisimulation: it relates…

Logic in Computer Science · Computer Science 2023-06-22 Mikkel Hansen , Kim Guldstrand Larsen , Radu Mardare , Mathias Ruggaard Pedersen

Instead of a continuous system driven by Gaussian white noise, logical stochastic resonance will be investigated in a nonlinear bistable system with two thresholds driven by dichotomous noise, which shows a phenomenon different from…

Mathematical Physics · Physics 2013-09-05 Yong Xu , Xiaoqin Jin , Huiqing Zhang , Tingting Yang

We specify the operational semantics and bisimulation relations for the finite pi-calculus within a logic that contains the nabla quantifier for encoding generic judgments and definitions for encoding fixed points. Since we restrict to the…

Logic in Computer Science · Computer Science 2009-02-16 Alwen Tiu , Dale Miller

Plausibility models are Kripke models that agents use to reason about knowledge and belief, both of themselves and of each other. Such models are used to interpret the notions of conditional belief, degrees of belief, and safe belief. The…

Artificial Intelligence · Computer Science 2018-02-06 Mikkel Birkegaard Andersen , Thomas Bolander , Hans van Ditmarsch , Martin Holm Jensen

Quite often, verification tasks for distributed systems are accomplished via counter abstractions. Such abstractions can sometimes be justified via simulations and bisimulations. In this work, we supply logical foundations to this practice,…

Logic in Computer Science · Computer Science 2017-12-06 Silvio Ghilardi , Elena Pagani

Most fairness assumptions used for verifying liveness properties are criticised for being too strong or unrealistic. On the other hand, justness, arguably the minimal fairness assumption required for the verification of liveness properties,…

Logic in Computer Science · Computer Science 2021-08-03 Rob van Glabbeek , Peter Höfner , Weiyou Wang
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