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We show how to compute efficiently with nominal sets over the total order symmetry, by developing a direct representation of such nominal sets and basic constructions thereon. In contrast to previous approaches, we work directly at the…

Logic in Computer Science · Computer Science 2022-08-17 David Venhoek , Joshua Moerman , Jurriaan Rot

Graph transformation systems (GTS) have been successfully proposed as a general, theoretically sound model for concurrency. Petri nets (PN), on the other side, are a central and intuitive formalism for concurrent or distributed systems,…

Formal Languages and Automata Theory · Computer Science 2019-09-05 Lorenzo Capra

A new class of Semantic Numeration Systems, namely, positive rational Semantic Numeration Systems is introduced. For cardinal semantic operators, differences in the formation of carry (common carry) and remainders are defined. The…

Logic in Computer Science · Computer Science 2026-05-01 Alexander Chunikhin

It is natural that we can extend Structural Operational Semantics (SOS) to SOS for true concurrency. From SOS to SOS for true concurrency, it is in nature to give the related concepts in SOS a truly concurrent semantics foundation, i.e., a…

Logic in Computer Science · Computer Science 2026-01-27 Yong Wang

We investigate an extension of nominal many-sorted signatures in which abstraction has a form of instantiation, called generalised concretion, as elimination operator (similarly to lambda-calculi). Expressions are then classified using a…

Logic in Computer Science · Computer Science 2025-10-15 Maribel Fernández , Miguel Pagano , Nora Szasz , Álvaro Tasistro

Weighted labelled transition systems (WLTSs) are an established meta-model aiming to provide general results and tools for a wide range of systems such as non-deterministic, stochastic, and probabilistic systems. In order to encompass…

Logic in Computer Science · Computer Science 2017-04-25 Marino Miculan , Marco Peressotti

We introduce the calculus of Classical Transitions (CT), which extends the research line on the relationship between linear logic and processes to labelled transitions. The key twist from previous work is registering parallelism in typing…

Logic in Computer Science · Computer Science 2018-03-06 Fabrizio Montesi , Marco Peressotti

We introduce a Hennessy-Milner logic with recursion for Fresh Labelled Transition Systems (FLTSs). These are nominal labelled transition systems which keep track of the history, i.e. of data values seen so far, and can capture fresh data…

Logic in Computer Science · Computer Science 2025-06-18 Mohamed H Bandukara , Nikos Tzevelekos

The Refinement Calculus of Reactive Systems (RCRS) is a compositional formal framework for modeling and reasoning about reactive systems. RCRS provides a language which allows to describe atomic components as symbolic transition systems or…

Logic in Computer Science · Computer Science 2018-02-09 Viorel Preoteasa , Iulia Dragomir , Stavros Tripakis

Process algebra and temporal logic are two popular paradigms for the specification, verification and systematic development of reactive and concurrent systems. These two approaches take different standpoint for looking at specifications and…

Logic in Computer Science · Computer Science 2013-01-01 Zhaohui Zhu , Yan Zhang , Jinjin Zhang

We study nominal recursors from the literature on syntax with bindings and compare them with respect to expressiveness. The term "nominal" refers to the fact that these recursors operate on a syntax representation where the names of bound…

Logic in Computer Science · Computer Science 2023-11-15 Andrei Popescu

Motivated by the response pattern for property specifications and applications within flexible workflow management systems, we report upon an initial study of modal and mixed transition systems in which the must transitions are interpreted…

Logic in Computer Science · Computer Science 2012-07-19 Marco Carbone , Thomas Hildebrandt , Gian Perrone , Andrzej Wąsowski

We give a stochastic extension of the Brane Calculus, along the lines of recent work by Cardelli and Mardare. In this presentation, the semantics of a Brane process is a measure of the stochastic distribution of possible derivations. To…

Computational Engineering, Finance, and Science · Computer Science 2010-11-03 Giorgio Bacci , Marino Miculan

In this paper, we propose several opacity-preserving (bi)simulation relations for general nondeterministic transition systems (NTS) in terms of initial-state opacity, current-state opacity, K-step opacity, and infinite-step opacity. We also…

Logic in Computer Science · Computer Science 2018-09-14 Kuize Zhang , Xiang Yin , Majid Zamani

These lecture notes concern the basics of the theory of process behaviour. First the concept of a (labelled) transition system receives ample treatment and then the following issues concerning process behaviour are elaborated in the setting…

Logic in Computer Science · Computer Science 2016-10-06 C. A. Middelburg

We present novel semiring semantics for abstract reduction systems (ARSs). More precisely, we provide a weighted version of ARSs, where the reduction steps induce weights from a semiring. Inspired by provenance analysis in database theory…

Logic in Computer Science · Computer Science 2025-05-14 Emma Ahrens , Jan-Christoph Kassing , Jürgen Giesl , Joost-Pieter Katoen

We define a general notion of transition system where states and action labels can be from arbitrary nominal sets, actions may bind names, and state predicates from an arbitrary logic define properties of states. A Hennessy-Milner logic for…

Logic in Computer Science · Computer Science 2023-06-22 Joachim Parrow , Johannes Borgström , Lars-Henrik Eriksson , Ramūnas Forsberg Gutkovas , Tjark Weber

Compositionality proofs in higher-order languages are notoriously involved, and general semantic frameworks guaranteeing compositionality are hard to come by. In particular, Turi and Plotkin's bialgebraic abstract GSOS framework, which has…

Logic in Computer Science · Computer Science 2026-05-08 Sergey Goncharov , Stefan Milius , Lutz Schröder , Stelios Tsampas , Henning Urbat

The contribution of this paper is the development of the syntax and semantics of multi-sorted nominal abstract binding trees (abts), an extension of second order universal algebra to support symbol-indexed families of operators. Nominal…

Logic in Computer Science · Computer Science 2016-01-26 Jonathan Sterling , Darin Morrison

Stochastic (Markovian) process algebra extend classical process algebra with probabilistic exponentially distributed time durations denoted by rates (the parameter of the exponential distribution). Defining a semantics for such an algebra,…

Logic in Computer Science · Computer Science 2015-12-23 Mario Bravetti