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Separation Logic is a non-classical logic used to verify pointer-intensive code. In this paper, however, we show that Separation Logic, along with its natural extensions, can also be used as a specification language for concurrent-system…

Logic in Computer Science · Computer Science 2009-11-12 Edgar G. Daylight , Sandeep K. Shukla , Davide Sergio

We present Lilac, a separation logic for reasoning about probabilistic programs where separating conjunction captures probabilistic independence. Inspired by an analogy with mutable state where sampling corresponds to dynamic allocation, we…

Programming Languages · Computer Science 2023-05-29 John M. Li , Amal Ahmed , Steven Holtzen

Probabilistic separation logic offers an approach to reasoning about imperative probabilistic programs in which a separating conjunction is used as a mechanism for expressing independence properties. Crucial to the effectiveness of the…

Logic in Computer Science · Computer Science 2026-03-03 Janez Ignacij Jereb , Alex Simpson

In this paper, we show how to interpret a language featuring concurrency, references and replication into proof nets, which correspond to a fragment of differential linear logic. We prove a simulation and adequacy theorem. A key element in…

Logic in Computer Science · Computer Science 2021-02-12 Yann Hamdaoui

Speech separation with several speakers is a challenging task because of the non-stationarity of the speech and the strong signal similarity between interferent sources. Current state-of-the-art solutions can separate well the different…

Signal Processing · Electrical Eng. & Systems 2021-02-09 Nicolas Furnon , Romain Serizel , Irina Illina , Slim Essid

Separation Logic is an effective Program Logic for proving programs that involve pointers. Reasoning with pointers becomes difficult especially when there is aliasing arising due to several pointers to a given cell location. In this paper,…

Logic in Computer Science · Computer Science 2017-04-07 Abhishek Kr Singh , Raja Natrajan

Computation nowadays is becoming inherently concurrent, either because of characteristics of the hardware (with multicore processors becoming omnipresent) or due to the ubiquitous presence of distributed systems (incarnated in the…

Software Engineering · Computer Science 2011-08-01 Mohammad Reza Mousavi , Antonio Ravara

These lecture notes cover basic automata-theoretic concepts and logical formalisms for the modeling and verification of concurrent and distributed systems. Many of these concepts naturally extend the classical automata and logics over…

Logic in Computer Science · Computer Science 2021-10-19 Benedikt Bollig , Paul Gastin

Separation logic is a recent extension of Hoare logic for reasoning about programs with references to shared mutable data structures. In this paper, we provide a new interpretation of the logic for a programming language with higher types.…

Logic in Computer Science · Computer Science 2015-07-01 Lars Birkedal , Hongseok Yang

The additional complexity caused by concurrently communicating processes in distributed systems render the verification of such systems into a very hard problem. Multiparty session types were developed to govern communication and…

Logic in Computer Science · Computer Science 2019-08-20 Kirstin Peters , Christoph Wagner , Uwe Nestmann

We are interested in identifying and enforcing the isolation requirements of a concurrent program, i.e., concurrency control that ensures that the program meets its specification. The thesis of this paper is that this can be done…

Programming Languages · Computer Science 2015-07-01 Jyotirmoy Deshmukh , G. Ramalingam , Venkatesh-Prasad Ranganath , Kapil Vaswani

Program equivalence is the fulcrum for reasoning about and proving properties of programs. For noninterference, for example, program equivalence up to the secrecy level of an observer is shown. A powerful enabler for such proofs are logical…

Programming Languages · Computer Science 2022-08-31 Farzaneh Derakhshan , Stephanie Balzer

The objective of this paper is to present general, mechanically verified, refinement rules for reasoning about recursive programs and while loops in the context of concurrency. Unlike many approaches to concurrency, we do not assume that…

Logic in Computer Science · Computer Science 2025-12-09 Ian J. Hayes , Larissa A. Meinicke , Cliff B. Jones

Modern hardware platforms, from the very small to the very large, increasingly provide parallel and distributed computing resources for applications to maximise performance. Many applications therefore need to make effective use of tens,…

Programming Languages · Computer Science 2019-04-02 Francisco Martins , Dominic Orchard

Consensus is an often occurring problem in concurrent and distributed programming. We present a programming language with simple semantics and build-in support for consensus in the form of communicating transactions. We motivate the need…

Programming Languages · Computer Science 2013-05-08 Carlo Spaccasassi , Vasileios Koutavas

Local analysis has long been recognised as an effective tool to combat the state-space explosion problem. In this work, we propose a method that systematises the use of local analysis in the verification of deadlock freedom for concurrent…

Software Engineering · Computer Science 2022-07-20 Pedro Antonino , Augusto Sampaio , Jim Woodcock

Given a class C of word languages, the C-separation problem asks for an algorithm that, given as input two regular languages, decides whether there exists a third language in C containing the first language, while being disjoint from the…

Formal Languages and Automata Theory · Computer Science 2017-09-29 Thomas Place , Marc Zeitoun

In this paper we consider a network of processors aiming at cooperatively solving linear programming problems subject to uncertainty. Each node only knows a common cost function and its local uncertain constraint set. We propose a…

Optimization and Control · Mathematics 2019-08-27 Mohammadreza Chamanbaz , Giuseppe Notarstefano , Roland Bouffanais

Information flow control type systems statically restrict the propagation of sensitive data to ensure end-to-end confidentiality. The property to be shown is noninterference, asserting that an attacker cannot infer any secrets from made…

Programming Languages · Computer Science 2021-04-30 Farzaneh Derakhshan , Stephanie Balzer , Limin Jia

We study the problem of parametric parallel complexity analysis of concurrent, message-passing programs. To make the analysis local and compositional, it is based on a conservative extension of binary session types, which structure the type…

Programming Languages · Computer Science 2018-04-18 Ankush Das , Jan Hoffmann , Frank Pfenning