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We investigate the possibility of a semantic account of the execution time (i.e. the number of beta-steps leading to the normal form, if any) for the shuffling calculus, an extension of Plotkin's call-by-value lambda-calculus. For this…

Logic in Computer Science · Computer Science 2019-04-25 Giulio Guerrieri

We define sound and adequate denotational and operational semantics for the stochastic lambda calculus. These two semantic approaches build on previous work that used similar techniques to reason about higher-order probabilistic programs,…

Logic in Computer Science · Computer Science 2021-05-18 Pedro Amorim , Dexter Kozen , Radu Mardare , Prakash Panangaden , Michael Roberts

In the present paper we formally define the notion of abstract program slicing, a general form of program slicing where properties of data are considered instead of their exact value. This approach is applied to a language with numeric and…

Logic in Computer Science · Computer Science 2016-05-20 Isabella Mastroeni , Damiano Zanardini

This paper shows that the $\pi$-calculus with implicit matching is no more expressive than CCS$\gamma$, a variant of CCS in which the result of a synchronisation of two actions is itself an action subject to relabelling or restriction,…

Logic in Computer Science · Computer Science 2022-03-23 Rob van Glabbeek

We propose novel techniques that exploit data and computation sharing to improve the performance of complex stateful parallel computations, like agent-based simulations. Parallel computations are translated into behavioral equations, a…

Databases · Computer Science 2025-04-15 Zilu Tian , Dan Olteanu , Christoph Koch

This is a motivating tutorial introduction to a semantic analysis of programming languages using a graphical language as the representation of terms, and graph rewriting as a representation of reduction rules. We show how the graphical…

Programming Languages · Computer Science 2021-02-05 Dan R. Ghica

We consider two characterisations of the may and must testing preorders for a probabilistic extension of the finite pi-calculus: one based on notions of probabilistic weak simulations, and the other on a probabilistic extension of a…

Logic in Computer Science · Computer Science 2012-01-12 Yuxing Deng , Alwen Tiu

At the intersection of dynamical systems, control theory, and formal methods lies the construction of symbolic abstractions: these typically represent simpler, finite-state models whose behavior mimics that of an underlying concrete system…

Systems and Control · Electrical Eng. & Systems 2024-09-27 Rudi Coppola , Andrea Peruffo , Manuel Mazo

We present an abstract machine and a reduction semantics for the lambda-calculus extended with control operators that give access to delimited continuations in the CPS hierarchy. The abstract machine is derived from an evaluator in…

Logic in Computer Science · Computer Science 2023-06-27 Malgorzata Biernacka , Dariusz Biernacki , Olivier Danvy

In this work, we continue our study on discrete abstractions of dynamical systems. To this end, we use a family of partitioning functions to generate an abstraction. The intersection of sub-level sets of the partitioning functions defines…

Systems and Control · Computer Science 2013-08-27 Rafael Wisniewski , Christoffer Sloth

Behavioural type systems ensure more than the usual safety guarantees of static analysis. They are based on the idea of "types-as-processes", providing dedicated type algebras for particular properties, ranging from protocol compatibility…

Programming Languages · Computer Science 2014-08-08 Simon J. Gay , Nils Gesbert , António Ravara

Quantum processes describe concurrent communicating systems that may involve quantum information. We propose a notion of open bisimulation for quantum processes and show that it provides both a sound and complete proof methodology for a…

Logic in Computer Science · Computer Science 2012-01-04 Yuxin Deng , Yuan Feng

Acceleration in symbolic verification consists in computing the exact effect of some control-flow loops in order to speed up the iterative fix-point computation of reachable states. Even if no termination guarantee is provided in theory,…

Data Structures and Algorithms · Computer Science 2008-12-11 Jérôme Leroux , Gregoire Sutre

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

The Turing machine models an old-fashioned computer, that does not interact with the user or with other computers, and only does batch processing. Therefore, we came up with a Reactive Turing Machine that does not have these shortcomings.…

Logic in Computer Science · Computer Science 2023-06-22 Jos C. M. Baeten , Cesare Carissimo , Bas Luttik

We make a mixture of Milner's $\pi$-calculus and our previous work on truly concurrent process algebra, which is called $\pi_{tc}$. We introduce syntax and semantics of $\pi_{tc}$, its properties based on strongly truly concurrent…

Logic in Computer Science · Computer Science 2017-04-26 Yong Wang

A good state-time quantized symbolic abstraction of an already input quantized control system would satisfy three conditions: proximity, soundness and completeness. Extant approaches for symbolic abstraction of unstable systems limit to…

Systems and Control · Computer Science 2014-02-18 Santosh Arvind Adimoolam

We investigate the possibility of a semantic account of the execution time (i.e. the number of \beta_v-steps leading to the normal form, if any) for the shuffling calculus, an extension of Plotkin's call-by-value {\lambda}-calculus. For…

Logic in Computer Science · Computer Science 2018-12-31 Giulio Guerrieri

We study encodings of the lambda-calculus into the pi-calculus in the unexplored case of calculi with non-determinism and failures. On the sequential side, we consider lambdafail, a new non-deterministic calculus in which intersection types…

Logic in Computer Science · Computer Science 2024-02-14 Joseph W. N. Paulus , Daniele Nantes-Sobrinho , Jorge A. Pérez

By using the abstract structures investigated in the first Part of this article, we develop a semantics for an epistemic language, which expresses sentences like "Alice knows that Bob does not understand that PI is irrational". One is…

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