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This note shows that split-2 bisimulation equivalence (also known as timed equivalence) affords a finite equational axiomatization over the process algebra obtained by adding an auxiliary operation proposed by Hennessy in 1981 to the…

Logic in Computer Science · Computer Science 2017-01-11 Luca Aceto , Wan Fokkink , Anna Ingolfsdottir , Bas Luttik

State-based models of concurrent systems are traditionally considered under a variety of notions of process equivalence. In the particular case of labelled transition systems, these equivalences range from trace equivalence to (strong)…

Logic in Computer Science · Computer Science 2020-10-21 Ulrich Dorsch , Stefan Milius , Lutz Schröder

We introduce a process algebra that concerns the timed behaviour of distributed systems with a known spatial distribution. This process algebra provides a communication mechanism that deals with the fact that a datum sent at one point in…

Logic in Computer Science · Computer Science 2025-02-25 J. A. Bergstra , C. A. Middelburg

In this paper we investigate performance of global communications in a particular parallel code. The code simulates dynamics of expansion of premixed spherical flames using an asymptotic model of Sivashinsky type and a spectral numerical…

Distributed, Parallel, and Cluster Computing · Computer Science 2009-11-17 V. Karlin

The classical Hennessy-Milner theorem says that two states of an image-finite transition system are bisimilar if and only if they satisfy the same formulas in a certain modal logic. In this paper we study this type of result in a general…

Logic in Computer Science · Computer Science 2023-06-22 Clemens Kupke , Jurriaan Rot

In this paper we present an alternative approach to formalize the theory of logic programming. In this formalization we allow existential quantified variables and equations in queries. In opposite to standard approaches the role of answer…

Logic in Computer Science · Computer Science 2022-07-20 Ján Komara

We study which standard operators of probabilistic process calculi allow for compositional reasoning with respect to bisimulation metric semantics. We argue that uniform continuity (generalizing the earlier proposed property of…

Logic in Computer Science · Computer Science 2019-03-14 Daniel Gebler , Kim G. Larsen , Simone Tini

We introduce a generalization of the bisimulation game that finds distinguishing Hennessy-Milner logic formulas from every finitary, subformula-closed language in van Glabbeek's linear-time--branching-time spectrum between two finite-state…

Computer Science and Game Theory · Computer Science 2023-06-22 Benjamin Bisping , David N. Jansen , Uwe Nestmann

Cellular automata provide models of parallel computation based on cells, whose connectivity is given by an action of a monoid on the cells. At each step in the computation, every cell is decorated with a state that evolves in discrete steps…

Logic in Computer Science · Computer Science 2025-12-17 Henning Basold , Chase Ford , Lulof Pirée

A classical theorem states that the set of languages given by a pushdown automaton coincides with the set of languages given by a context-free grammar. In previous work, we proved the pendant of this theorem in a setting with interaction:…

Logic in Computer Science · Computer Science 2023-09-15 Jos C. M. Baeten , Bas Luttik

We explore logical reasoning for the global calculus, a coordination model based on the notion of choreography, with the aim to provide a methodology for specification and verification of structured communications. Starting with an…

Programming Languages · Computer Science 2011-10-20 Marco Carbone , Davide Grohmann , Thomas T. Hildebrandt , Hugo A. López

We study comparisons between interpretations in description logics with respect to "logical consequences" of the form of semi-positive concepts (like semi-positive concept assertions). Such comparisons are characterized by conditions…

Logic in Computer Science · Computer Science 2013-04-23 Ali Rezaei Divroodi , Linh Anh Nguyen

To conduct Bayesian inference with large data sets, it is often convenient or necessary to distribute the data across multiple machines. We consider a likelihood function expressed as a product of terms, each associated with a subset of the…

Computation · Statistics 2020-04-09 Lewis J. Rendell , Adam M. Johansen , Anthony Lee , Nick Whiteley

There exists a rich literature of rule formats guaranteeing different algebraic properties for formalisms with a Structural Operational Semantics. Moreover, there exist a few approaches for automatically deriving axiomatizations…

Logic in Computer Science · Computer Science 2013-07-30 Daniel Gebler , Eugen-Ioan Goriac , Mohammad Reza Mousavi

Automata learning is a popular technique for inferring minimal automata through membership and equivalence queries. In this paper, we generalise learning to the theory of coalgebras. The approach relies on the use of logical formulas as…

Logic in Computer Science · Computer Science 2019-08-09 Simone Barlocco , Clemens Kupke , Jurriaan Rot

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

Machines that can replicate human intelligence with type 2 reasoning capabilities should be able to reason at multiple levels of spatio-temporal abstractions and scales using internal world models. Devising formalisms to develop such…

Artificial Intelligence · Computer Science 2025-07-01 Vaisakh Shaj

The classical Hennessy-Milner theorem is an important tool in the analysis of concurrent processes; it guarantees that any two non-bisimilar states in finitely branching labelled transition systems can be distinguished by a modal formula.…

Logic in Computer Science · Computer Science 2022-08-31 Jonas Forster , Sergey Goncharov , Dirk Hofmann , Pedro Nora , Lutz Schröder , Paul Wild

A syntax-directed formal system for the development of totally correct programs with respect to an unfair shared-state parallel while-language is proposed. The system can be understood as a compositional reformulation of the Owicki/Gries…

Formal Languages and Automata Theory · Computer Science 2024-04-26 Ketil Stølen

We introduce the wire calculus. Its dynamic features are inspired by Milner's CCS: a unary prefix operation, binary choice and a standard recursion construct. Instead of an interleaving parallel composition operator there are operators for…

Logic in Computer Science · Computer Science 2009-12-04 Paweł Sobociński
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