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Probabilistic transition system specifications (PTSSs) in the $nt \mu f\theta / nt\mu x\theta$ format provide structural operational semantics for Segala-type systems that exhibit both probabilistic and nondeterministic behavior and…

Logic in Computer Science · Computer Science 2015-08-28 Pedro R. D'Argenio , Matias David Lee , Daniel Gebler

Probabilistic transition system specifications (PTSSs) in the ntmufnu/ntmuxnu format provide structural operational semantics for Segala-type systems that exhibit both probabilistic and nondeterministic behavior and guarantee that…

Programming Languages · Computer Science 2012-08-15 Matias David Lee , Daniel Gebler , Pedro R. D'Argenio

We introduce a bisimulation learning algorithm for non-deterministic transition systems. We generalise bisimulation learning to systems with bounded branching and extend its applicability to model checking branching-time temporal logic,…

Logic in Computer Science · Computer Science 2025-05-23 Alessandro Abate , Mirco Giacobbe , Christian Micheletti , Yannik Schnitzer

Probabilistic transition system specifications using the rule format ntmuft-ntmuxt provide structural operational semantics for Segala-type systems and guarantee that probabilistic bisimilarity is a congruence. Probabilistic bisimilarity is…

Logic in Computer Science · Computer Science 2013-07-30 Daniel Gebler , Simone Tini

This paper proposes a notion of branching bisimilarity for non-deterministic probabilistic processes. In order to characterize the corresponding notion of rooted branching probabilistic bisimilarity, an equational theory is proposed for a…

Logic in Computer Science · Computer Science 2025-02-11 Rob van Glabbeek , Jan Friso Groote , Erik de Vink

This paper presents a novel technique for state space reduction of probabilistic specifications, based on a newly developed notion of confluence for probabilistic automata. We prove that this reduction preserves branching probabilistic…

Logic in Computer Science · Computer Science 2010-11-11 Mark Timmer , Mariëlle Stoelinga , Jaco van de Pol

We investigate how various forms of bisimulation can be characterised using the technology of logical relations. The approach taken is that each form of bisimulation corresponds to an algebraic structure derived from a transition system,…

Logic in Computer Science · Computer Science 2022-03-14 Claudio Hermida , Uday Reddy , Edmund Robinson , Alessio Santamaria

Full formal descriptions of algorithms making use of quantum principles must take into account both quantum and classical computing components and assemble them so that they communicate and cooperate.Moreover, to model concurrent and…

Quantum Physics · Physics 2007-05-23 Marie Lalire

In this paper we investigate the equational theory of (the restriction, relabelling, and recursion free fragment of) CCS modulo rooted branching bisimilarity, which is a classic, bisimulation-based notion of equivalence that abstracts from…

Logic in Computer Science · Computer Science 2022-06-29 Luca Aceto , Valentina Castiglioni , Anna Ingolfsdottir , Bas Luttik

It is well known that the theory of coalgebras provides an abstract definition of behavioural equivalence that coincides with strong bisimulation across a wide variety of state-based systems. Unfortunately, the theory in the presence of…

Logic in Computer Science · Computer Science 2017-05-31 Harsh Beohar , Sebastian Küpper

Progress in the behavioral analysis of software product lines at the family level benefits from further development of the underlying semantical theory. Here, we propose a behavioral equivalence for feature transition systems (FTS)…

Logic in Computer Science · Computer Science 2015-04-15 Tessa Belder , Maurice H. ter Beek , Erik P. de Vink

Often in Software Engineering, a modeling formalism has to support scenarios of inconsistency in which several requirements either reinforce or contradict each other. Paraconsistent transition systems are proposed in this paper as one such…

Logic in Computer Science · Computer Science 2023-03-24 Ana Cruz , Alexandre Madeira , LuÂ-Ã-s Soares Barbosa

We first study labeled transition systems with explicit successful termination. We establish the notions of strong, weak, and branching bisimulation in terms of boolean matrix theory, introducing thus a novel and powerful algebraic…

Logic in Computer Science · Computer Science 2009-12-12 Nikola Trčka

In branching simulation, a novel approach to simulation presented in this paper, a multiplicity of plausible scenarios are concurrently developed and implemented. In conventional simulations of complex systems, there arise from time to time…

Computational Engineering, Finance, and Science · Computer Science 2007-05-23 Mark Burgin , Walter Karplus , Damon Liu

Bisimulations are standard in modal logic and, more generally, in the theory of state-transition systems. The quotient structure of a Kripke model with respect to the bisimulation relation is called a bisimulation contraction. The…

Logic in Computer Science · Computer Science 2024-05-02 Thomas Bolander , Alessandro Burigana

We propose reactive Turing machines (RTMs), extending classical Turing machines with a process-theoretical notion of interaction, and use it to define a notion of executable transition system. We show that every computable transition system…

Logic in Computer Science · Computer Science 2013-03-06 Jos C. M. Baeten , Bas Luttik , Paul van Tilburg

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

This paper introduces the concept of random context representations for the transition probabilities of a finite-alphabet stochastic process. Processes with these representations generalize context tree processes (a.k.a. variable length…

Probability · Mathematics 2016-12-09 Roberto Imbuzeiro Oliveira

The role played by counterexamples in standard system analysis is well known; but less common is a notion of counterexample in probabilistic systems refinement. In this paper we extend previous work using counterexamples to inductive…

Logic in Computer Science · Computer Science 2011-06-22 Ukachukwu Ndukwu , Annabelle McIver

I present a branching time model of CSP that is finer than all other models of CSP proposed thus far. It is obtained by taking a semantic equivalence from the linear time - branching time spectrum, namely divergence-preserving coupled…

Logic in Computer Science · Computer Science 2017-02-28 Rob van Glabbeek
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