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Linear programming describes the problem of optimising a linear objective function over a set of constraints on its variables. In this paper we present a solver for linear programs implemented in the proof assistant Isabelle/HOL. This…

Logic in Computer Science · Computer Science 2024-03-29 Julian Parsert

We present the algebra of assume-guarantee (AG) contracts. We define contracts, provide new as well as known operations, and show how these operations are related. Contracts are functorial: any Boolean algebra has an associated contract…

Logic in Computer Science · Computer Science 2023-09-19 Inigo Incer , Albert Benveniste , Alberto Sangiovanni-Vincentelli

Synthesis of program parts is very useful for concurrent systems. However, most synthesis approaches do not support common design tasks, like modifying a single process without having to re-synthesize or verify the whole system.…

Logic in Computer Science · Computer Science 2014-11-18 Roderick Bloem , Krishnendu Chatterjee , Swen Jacobs , Robert Koenighofer

Classical algebraic structures require exact satisfaction of their defining axioms. We propose similarity algebra, a framework extending algebraic and Lie structures to settings where operations satisfy quantitative bounds up to a tolerance…

Rings and Algebras · Mathematics 2026-02-17 Benyamin Ghojogh , Golbahar Amanpour

A novel language system has given rise to promising alternatives to standard formal and processor network models of computation. An interstring linked with a abstract machine environment, shares sub-expressions, transfers data, and…

Programming Languages · Computer Science 2010-05-31 Alexander Victor Berka

Most work on the verification of concurrent objects for shared memory assumes sequential consistency, but most multicore processors support only weak memory models that do not provide sequential consistency. Furthermore, most verification…

Distributed, Parallel, and Cluster Computing · Computer Science 2016-04-25 Simon Doherty , John Derrick

Constraint Handling Rules is an effective concurrent declarative programming language and a versatile computational logic formalism. CHR programs consist of guarded reactive rules that transform multisets of constraints. One of the main…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-04-09 Thom Fruehwirth

This paper introduces an imperative process algebra based on ACP (Algebra of Communicating Processes). Like other imperative process algebras, this process algebra deals with processes of the kind that arises from the execution of…

Logic in Computer Science · Computer Science 2022-07-08 C. A. Middelburg

We study the problem of constructing concurrent objects in a setting where $P$ processes run in parallel and interact through a shared memory that is subject to write contention. Our goal is to transform hardware primitives that are subject…

Data Structures and Algorithms · Computer Science 2026-04-17 Michael A. Bender , Guy E. Blelloch , Martin Farach-Colton , Yang Hu , Rob Johnson , Rotem Oshman , Renfei Zhou

We develop a behavioural theory of reflective parallel algorithms (RAs), i.e. synchronous parallel algorithms that can modify their own behaviour. The theory comprises a set of postulates defining the class of RAs, an abstract machine…

Logic in Computer Science · Computer Science 2025-08-13 Klaus-Dieter Schewe , Flavio Ferrarotti

A principled approach to the design of program verification and con- struction tools is applied to separation logic. The control flow is modelled by power series with convolution as separating conjunction. A generic construction lifts…

Logic in Computer Science · Computer Science 2014-10-17 Brijesh Dongol , Victor B. F. Gomes , Georg Struth

Prior work on Automatically Scalable Computation (ASC) suggests that it is possible to parallelize sequential computation by building a model of whole-program execution, using that model to predict future computations, and then…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-09-21 Peter Kraft , Amos Waterland , Daniel Y Fu , Anitha Gollamudi , Shai Szulanski , Margo Seltzer

We study large-scale distributed cooperative systems that use optimistic replication. We represent a system as a graph of actions (operations) connected by edges that reify semantic constraints between actions. Constraint types include…

Databases · Computer Science 2007-10-08 Pierre Sutra , Marc Shapiro , João Pedro Barreto

This work proposes a symbolic algorithm for the construction of assume-guarantee specifications that allow multiple agents to cooperate. Each agent is assigned goals expressed in a fragment of linear temporal logic known as generalized…

Logic in Computer Science · Computer Science 2015-08-12 Ioannis Filippidis , Richard M. Murray

A wide-spectrum language integrates specification constructs into a programming language in a manner that treats a specification command just like any other command. This paper investigates a semantic model for a wide-spectrum language that…

Logic in Computer Science · Computer Science 2016-09-02 Robert J. Colvin , Ian J. Hayes , Larissa A. Meinicke

A classical theorem states that the set of languages given by a pushdown automaton coincides with the set of languages given by a context-free grammar. In previous work, we proved the pendant of this theorem in a setting with interaction:…

Logic in Computer Science · Computer Science 2023-09-15 Jos C. M. Baeten , Bas Luttik

Relational verification encompasses information flow security, regression verification, translation validation for compilers, and more. Effective alignment of the programs and computations to be related facilitates use of simpler relational…

Logic in Computer Science · Computer Science 2023-03-27 Timos Antonopoulos , Eric Koskinen , Ton Chanh Le , Ramana Nagasamudram , David A. Naumann , Minh Ngo

High assurance of information-flow security (IFS) for concurrent systems is challenging. A promising way for formal verification of concurrent systems is the rely-guarantee method. However, existing compositional reasoning approaches for…

Software Engineering · Computer Science 2023-09-19 Yongwang Zhao , David Sanan , Fuyuan Zhang , Yang Liu

A number of novel programming languages and libraries have been proposed that offer simpler-to-use models of concurrency than threads. It is challenging, however, to devise execution models that successfully realise their abstractions…

Software Engineering · Computer Science 2016-03-24 Claudio Corrodi , Alexander Heußner , Christopher M. Poskitt

In process algebras such as ACP (Algebra of Communicating Processes), parallel processes are considered to be interleaved in an arbitrary way. In the case of multi-threading as found in contemporary programming languages, parallel processes…

Logic in Computer Science · Computer Science 2020-04-22 J. A. Bergstra , C. A. Middelburg