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This book explores an alternative to the current dominant paradigm where a discrete computer model is constructed as an attempt to approximate some continuum theory. We focus on a class of discrete computer models that are based on simple…

Logic in Computer Science · Computer Science 2017-04-14 Garry Pantelis

In current practice a formal analysis of hybrid system models is assertion-based. The work presented here is based on features that look beyond functional correctness toward a quantitative evaluation of behavioral attributes. A feature…

Logic in Computer Science · Computer Science 2019-02-25 Antonio Anastasio Bruto da Costa , Goran Frehse , Pallab Dasgupta

Current approaches for the discovery, specification, and provision of services ignore the relationship between the service contract and the conditions in which the service can guarantee its contract. Moreover, they do not use formal methods…

Software Engineering · Computer Science 2011-08-12 Naseem Ibrahim , Vangalur Alagar , Mubarak Mohammad

We present an extension to a certified financial contract management system that allows for templated declarative financial contracts and for integration with financial stochastic models through verified compilation into so-called…

Programming Languages · Computer Science 2021-08-10 Danil Annenkov , Martin Elsman

Good tools can bring mechanical verification to programs written in mainstream functional languages. We use hs-to-coq to translate significant portions of Haskell's containers library into Coq, and verify it against specifications that we…

Programming Languages · Computer Science 2018-03-21 Joachim Breitner , Antal Spector-Zabusky , Yao Li , Christine Rizkallah , John Wiegley , Stephanie Weirich

In this paper we formalize some foundation concepts and theorems of group theory in a variant of type theory called the Calculus of Constructions with Definitions. In this theory we introduce definition of a group, which is both general and…

Logic · Mathematics 2021-02-19 Farida Kachapova

Complex systems typically have many different parts and facets, with different characteristics. In a multi-paradigm approach to modeling, formalisms with different natures are used in combination to describe complementary parts and aspects…

Logic in Computer Science · Computer Science 2013-08-14 Marcello M. Bersani , Carlo A. Furia , Matteo Pradella , Matteo Rossi

Data analysis requires translating higher level questions and hypotheses into computable statistical models. We present a mixed-methods study aimed at identifying the steps, considerations, and challenges involved in operationalizing…

Other Computer Science · Computer Science 2021-04-08 Eunice Jun , Melissa Birchfield , Nicole de Moura , Jeffrey Heer , Rene Just

Dependently typed proof assistant rely crucially on definitional equality, which relates types and terms that are automatically identified in the underlying type theory. This paper extends type theory with definitional functor laws,…

Programming Languages · Computer Science 2024-04-10 Théo Laurent , Meven Lennon-Bertrand , Kenji Maillard

We present the design, implementation, and foundation of a verifier for higher-order functional programs with generics and recursive data types. Our system supports proving safety and termination using preconditions, postconditions and…

Logic in Computer Science · Computer Science 2020-03-25 Jad Hamza , Nicolas Voirol , Viktor Kunčak

Logic has proved essential for formally modeling software based systems. Such formal descriptions, frequently called specifications, have served not only as requirements documentation and formalisation, but also for providing the…

Logic in Computer Science · Computer Science 2021-07-20 Carlos G. Lopez Pombo , Thomas S. E. Maibaum

We present an approach for representing abstract argumentation frameworks based on an encoding into classical higher-order logic. This provides a uniform framework for computer-assisted assessment of abstract argumentation frameworks using…

Artificial Intelligence · Computer Science 2021-10-19 Alexander Steen , David Fuenmayor

One can perform equational reasoning about computational effects with a purely functional programming language thanks to monads. Even though equational reasoning for effectful programs is desirable, it is not yet mainstream. This is partly…

Logic in Computer Science · Computer Science 2025-01-15 Reynald Affeldt , Jacques Garrigue , Takafumi Saikawa

Stepwise refinement of algebraic specifications is a well known formal methodology for program development. However, traditional notions of refinement based on signature morphisms are often too rigid to capture a number of relevant…

Logic in Computer Science · Computer Science 2015-07-01 Manuel A. Martins , Alexandre Madeira , Luis S. Barbosa

The aim of this article is to represent the general description of an entity by means of its states, contexts and properties. The entity that we want to describe does not necessarily have to be a physical entity, but can also be an entity…

Quantum Physics · Physics 2017-08-23 Diederik Aerts

Web Services provide interoperable mechanisms for describing, locating and invoking services over the Internet; composition further enables to build complex services out of simpler ones for complex B2B applications. While current studies on…

Software Engineering · Computer Science 2013-11-12 Manuel Mazzara , Michele Ciavotta

Formal methods have been a successful approach for modelling and verifying the correctness of complex technologies like microprocessor chip design, biological systems and others. This is the main motivation of developing quantum formal…

Formal Languages and Automata Theory · Computer Science 2024-09-27 Ittoop Vergheese Puthoor

Convex sets appear in various mathematical theories, and are used to define notions such as convex functions and hulls. As an abstraction from the usual definition of convex sets in vector spaces, we formalize in Coq an intrinsic…

Logic in Computer Science · Computer Science 2020-05-29 Reynald Affeldt , Jacques Garrigue , Takafumi Saikawa

We describe several views of the semantics of a simple programming language as formal documents in the calculus of inductive constructions that can be verified by the Coq proof system. Covered aspects are natural semantics, denotational…

Logic in Computer Science · Computer Science 2007-07-10 Yves Bertot

Enterprise modeling deals with the increasing complexity of processes and systems by operationalizing model content and by linking complementary models and languages, thus amplifying the model-value beyond mere comprehensible pictures. To…

Software Engineering · Computer Science 2022-03-29 Victoria Döller