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A calculus is presented for the stepwise refinement of abstract information flow architectures. We give a mathematical model for information flow components based on relations between input and output communication histories, and describe…

Software Engineering · Computer Science 2016-11-15 Jan Philipps , Bernhard Rumpe

This paper presents the methodology for the system requirements and architecture w.r.t. their decomposition and refinement. It also introduces ideas of refinement layers and of refinement-based verification.

Software Engineering · Computer Science 2014-04-30 Maria Spichkova

Existing refinement calculi provide frameworks for the stepwise development of imperative programs from specifications. This paper presents a refinement calculus for deriving logic programs. The calculus contains a wide-spectrum logic…

Software Engineering · Computer Science 2007-05-23 Ian Hayes , Robert Colvin , David Hemer , Paul Strooper , Ray Nickson

Refinement types enrich a language's type system with logical predicates that circumscribe the set of values described by the type, thereby providing software developers a tunable knob with which to inform the type system about what…

Programming Languages · Computer Science 2020-10-16 Ranjit Jhala , Niki Vazou

Refinement types are a well-studied manner of performing in-depth analysis on functional programs. The dependency pair method is a very powerful method used to prove termination of rewrite systems; however its extension to higher order…

Logic in Computer Science · Computer Science 2011-01-25 Cody Roux

This paper is concerned with the possibilities of refining and improving calculi generated in the tableau synthesis framework. A general method in the tableau synthesis framework allows to reduce the branching factor of tableau rules and…

Logic in Computer Science · Computer Science 2013-05-15 Dmitry Tishkovsky , Renate A. Schmidt

Model-driven design of software for safety-critical applications often relies on mathematically grounded techniques such as the B method. Such techniques consist in the successive applications of refinements to derive a concrete…

Software Engineering · Computer Science 2009-07-14 David Deharbe , Bruno E. G. Gomes , Anamaria M. Moreira

The evaluation mechanism of pattern matching with dynamic patterns is modelled in the Pure Pattern Calculus by one single meta-rule. This contribution presents a refinement which narrows the gap between the abstract calculus and its…

Logic in Computer Science · Computer Science 2011-02-21 Thibaut Balabonski

In this paper we present a calculus for re nement of business process models based on a precisede nition of business processes and process nets Business process models are a vital concept for communicating with experts of the application…

Software Engineering · Computer Science 2014-09-26 Bernhard Rumpe , V. Thurner

Refinement calculus is a powerful and expressive tool for reasoning about sequential programs in a compositional manner. In this paper we present an extension of refinement calculus for reactive systems. Refinement calculus is based on…

Software Engineering · Computer Science 2014-06-24 Viorel Preoteasa , Stavros Tripakis

Session types capture precise protocol structure in concurrent programming, but do not specify properties of the exchanged values beyond their basic type. Refinement types are a form of dependent types that can address this limitation,…

Logic in Computer Science · Computer Science 2012-11-20 Pedro Baltazar , Dimitris Mostrous , Vasco T. Vasconcelos

This dissertation introduces executable refinement types, which refine structural types by semi-decidable predicates, and establishes their metatheory and accompanying implementation techniques. These results are useful for undecidable type…

Programming Languages · Computer Science 2014-03-14 Kenneth Knowles

Refinement transforms an abstract system model into a concrete, executable program, such that properties established for the abstract model carry over to the concrete implementation. Refinement has been used successfully in the development…

Logic in Computer Science · Computer Science 2021-10-27 Aurel Bílý , Christoph Matheja , Peter Müller

Practical checkers based on refinement types use the combination of implicit semantic sub-typing and parametric polymorphism to simplify the specification and automate the verification of sophisticated properties of programs. However, a…

Programming Languages · Computer Science 2022-07-13 Michael Borkowski , Niki Vazou , Ranjit Jhala

The notion of refinement plays an important role in software engineering. It is the basis of a stepwise development methodology in which the correctness of a system can be established by proving, or computing, that a system refines its…

Logic in Computer Science · Computer Science 2023-06-22 Maurice Laveaux , Jan Friso Groote , Tim A. C. Willemse

Arithmetic circuits, such as adders and multipliers, are fundamental components of digital systems, directly impacting the performance, power efficiency, and area footprint. However, optimizing these circuits remains challenging due to the…

Hardware Architecture · Computer Science 2025-09-17 Chenhao Xue , Kezhi Li , Jiaxing Zhang , Yi Ren , Zhengyuan Shi , Chen Zhang , Yibo Lin , Lining Zhang , Qiang Xu , Guangyu Sun

There have been several modifications of how basic calculus has been taught, but very few of these modifications have considered the computational tools available at our disposal. Here, we present a few tools that are easy to develop and…

History and Overview · Mathematics 2024-10-04 Parthasarathy Srinivasan

Network pruning and knowledge distillation are two widely-known model compression methods that efficiently reduce computation cost and model size. A common problem in both pruning and distillation is to determine compressed architecture,…

Computer Vision and Pattern Recognition · Computer Science 2022-02-23 Dongqi Wang , Shengyu Zhang , Zhipeng Di , Xin Lin , Weihua Zhou , Fei Wu

Algorithmic and data refinement are well studied topics that provide a mathematically rigorous approach to gradually introducing details in the implementation of software. Program refinements are performed in the context of some programming…

Programming Languages · Computer Science 2016-06-08 Jason Koenig , K. Rustan M. Leino

The filters work in many areas of technology. There constructions are different and substances under filtration are different. It is necessary in some cases to take into account forming of sediments on the walls of the filter since they can…

Numerical Analysis · Mathematics 2021-03-25 Yuri Troshchiev
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