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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

While distributed systems with transfer of processes have become pervasive, methods for reasoning about their behaviour are underdeveloped. In this paper we propose a bisimulation technique for proving behavioural equivalence of such…

Logic in Computer Science · Computer Science 2011-05-09 Adrien Piérard , Eijiro Sumii

We present a comprehensive study of the behavioral theory of an untyped $\lambda$-calculus extended with the delimited-control operators shift and reset. To that end, we define a contextual equivalence for this calculus, that we then aim to…

Logic in Computer Science · Computer Science 2023-06-22 Dariusz Biernacki , Sergueï Lenglet , Piotr Polesiuk

We develop a behavioral theory for the untyped call-by-value lambda calculus extended with the delimited-control operators shift and reset. For this calculus, we discuss the possible observable behaviors and we define an applicative…

Programming Languages · Computer Science 2012-01-05 Dariusz Biernacki , Serguei Lenglet

We define a notion of normal form bisimilarity for the untyped call-by-value lambda calculus extended with the delimited-control operators shift and reset. Normal form bisimilarities are simple, easy-to-use behavioral equivalences which…

Programming Languages · Computer Science 2012-02-29 Dariusz Biernacki , Serguei Lenglet

The objective of this paper is to solve the controller synthesis problem for bisimulation equivalence in a wide variety of scenarios including discrete-event systems, nonlinear control systems, behavioral systems, hybrid systems and many…

Optimization and Control · Mathematics 2007-11-22 Paulo Tabuada

In decentralized systems, branching behaviors naturally arise due to communication, unmodeled dynamics and system abstraction, which can not be adequately captured by the traditional sequencing-based language equivalence. As a finer…

Systems and Control · Computer Science 2011-12-19 Yajuan Sun , Hai Lin , Ben. M. Chen

Normal-form bisimilarity is a simple, easy-to-use behavioral equivalence that relates terms in $\lambda$-calculi by decomposing their normal forms into bisimilar subterms. Moreover, it typically allows for powerful up-to techniques, such as…

Logic in Computer Science · Computer Science 2023-06-22 Dariusz Biernacki , Serguei Lenglet , Piotr Polesiuk

Control systems are usually modeled by differential equations describing how physical phenomena can be influenced by certain control parameters or inputs. Although these models are very powerful when dealing with physical phenomena, they…

Optimization and Control · Mathematics 2008-01-14 Giordano Pola , Antoine Girard , Paulo Tabuada

This paper investigates the supervisory control of nondeterministic discrete event systems to enforce bisimilarity with respect to deterministic specifications. A notion of synchronous simulation-based controllability is introduced as a…

Systems and Control · Computer Science 2012-03-09 Yajuan Sun , Hai Lin , Ben M. Chen

A decidability proof for bisimulation equivalence of first-order grammars (finite sets of labelled rules for rewriting roots of first-order terms) is presented. The equivalence generalizes the DPDA (deterministic pushdown automata)…

Logic in Computer Science · Computer Science 2014-06-02 Petr Jancar

We study induction on the program structure as a proof method for bisimulation-based compiler correctness. We consider a first-order language with mutually recursive function definitions, system calls, and an environment semantics. The…

Programming Languages · Computer Science 2016-11-30 Sigurd Schneider , Gert Smolka , Sebastian Hack

In this paper we propose definitions of equivalence via stochastic bisimulation and of equivalence of stochastic external behavior for the class of discrete-time stochastic linear control systems with possibly degenerate normally…

Optimization and Control · Mathematics 2016-11-28 Giordano Pola , Costanzo Manes , Arjan J. van der Schaft , Maria Domenica Di Benedetto

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

Hybrid Communicating Sequential Processes (HCSP) is a powerful formal modeling language for hybrid systems, which is an extension of CSP by introducing differential equations for modeling continuous evolution and interrupts for modeling…

Logic in Computer Science · Computer Science 2016-09-09 Gaogao Yan , Li Jiao , Yangjia Li , Shuling Wang , Naijun Zhan

Applicative bisimulation is a coinductive technique to check program equivalence in higher-order functional languages. It is known to be sound, and sometimes complete, with respect to context equivalence. In this paper we show that…

Logic in Computer Science · Computer Science 2015-06-23 Ugo Dal Lago , Alessandro Rioli

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

Switched systems constitute an important modeling paradigm faithfully describing many engineering systems in which software interacts with the physical world. Despite considerable progress on stability and stabilization of switched systems,…

Optimization and Control · Mathematics 2008-08-01 Antoine Girard , Giordano Pola , Paulo Tabuada

Reactive systems \`a la Leifer and Milner, an abstract categorical framework for rewriting, provide a suitable framework for deriving bisimulation congruences. This is done by synthesizing interactions with the environment in order to…

Logic in Computer Science · Computer Science 2023-07-14 Mathias Hülsbusch , Barbara König , Sebastian Küpper , Lara Stoltenow

Language models generate functionally correct code that tends toward excessive verbosity, with elaborate documentation and defensive patterns that diverge from human baselines. Two prompting mechanisms have emerged for stylistic control:…

Software Engineering · Computer Science 2025-11-19 Jeremiah Bohr
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