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Implementing a complex concept as an executable model in a strongly typed, purely functional language hits a sweet spot between mere simulation and formal specification. For research and education it is often desirable to enrich the…

Programming Languages · Computer Science 2020-08-31 Baltasar Trancón y Widemann , Markus Lepper

Foundational verification considers the functional correctness of programming languages with formalized semantics and uses proof assistants (e.g., Coq, Isabelle) to certify proofs. The need for verifying complex programs compels it to…

Programming Languages · Computer Science 2025-07-08 Qiyuan Xu , David Sanan , Zhe Hou , Xiaokun Luan , Conrad Watt , Yang Liu

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

Verification problems of programs written in various paradigms (such as imperative, logic, concurrent, functional, and object-oriented ones) can be reduced to problems of solving Horn clause constraints on predicate variables that represent…

Programming Languages · Computer Science 2016-10-24 Hiroshi Unno , Sho Torii

Program verification and synthesis frameworks that allow one to customize the language in which one is interested typically require the user to provide a formally defined semantics for the language. Because writing a formal semantics can be…

Programming Languages · Computer Science 2024-09-10 Jiangyi Liu , Charlie Murphy , Anvay Grover , Keith J. C. Johnson , Thomas Reps , Loris D'Antoni

We present a so-called labelling method to insert cost annotations in a higher-order functional program, to certify their correctness with respect to a standard compilation chain to assembly code including safe memory management, and to…

Programming Languages · Computer Science 2013-01-17 Roberto M. Amadio , Yann Regis-Gianas

The inclusion of universal quantification and a form of implication in goals in logic programming is considered. These additions provide a logical basis for scoping but they also raise new implementation problems. When universal and…

Programming Languages · Computer Science 2007-05-23 Gopalan Nadathur , Bharat Jayaraman , Keehang Kwon

Recent years have witnessed the growing popularity of domain-specific accelerators (DSAs), such as Google's TPUs, for accelerating various applications such as deep learning, search, autonomous driving, etc. To facilitate DSA designs,…

Machine Learning · Computer Science 2023-06-06 Yunsheng Bai , Atefeh Sohrabizadeh , Zongyue Qin , Ziniu Hu , Yizhou Sun , Jason Cong

Using Isabelle/HOL, we verify a union-find data structure with an explain operation due to Nieuwenhuis and Oliveras. We devise a simpler, more naive version of the explain operation whose soundness and completeness is easy to verify. Then,…

Logic in Computer Science · Computer Science 2025-08-12 Lukas Stevens , Rebecca Ghidini

Abstract interpretation offers a powerful toolset for static analysis, tackling precision, complexity and state-explosion issues. In the literature, state partitioning abstractions based on (bi)simulation and property-preserving state…

Logic in Computer Science · Computer Science 2025-06-09 Paolo Baldan , Roberto Bruni , Francesco Ranzato , Diletta Rigo

A general framework is proposed for integration of rules and external first order theories. It is based on the well-founded semantics of normal logic programs and inspired by ideas of Constraint Logic Programming (CLP) and constructive…

Logic in Computer Science · Computer Science 2010-12-08 W. Drabent , J. Maluszynski

This paper presents the Soda language for verifying multi-agent systems. Soda is a high-level functional and object-oriented language that supports the compilation of its code not only to Scala, a strongly statically typed high-level…

Programming Languages · Computer Science 2025-03-11 Julian Alfredo Mendez , Timotheus Kampik

We discuss a formal framework for using algebraic structures to model a meta-language that can write, compose, and provide interoperability between abstractions of DSLs. The purpose of this formal framework is to provide a verification of…

Category Theory · Mathematics 2023-03-17 Zachary Flores , Angelo Taranto , Eric Bond

This paper explores verification of constituent systems within the context of the Symphony tool platform for Systems of Systems (SoS). Our SoS modelling language, CML, supports various contractual specification elements, such as state…

Software Engineering · Computer Science 2014-05-09 Luis Diogo Couto , Simon Foster , Richard Payne

Meta SOS is a software framework designed to integrate the results from the meta-theory of structural operational semantics (SOS). These results include deriving semantic properties of language constructs just by syntactically analyzing…

Logic in Computer Science · Computer Science 2013-07-30 Luca Aceto , Eugen-Ioan Goriac , Anna Ingolfsdottir

High-level synthesis, source-to-source compilers, and various Design Space Exploration techniques for pragma insertion have significantly improved the Quality of Results of generated designs. These tools offer benefits such as reduced…

Software Engineering · Computer Science 2025-03-04 Stéphane Pouget , Louis-Noël Pouchet , Jason Cong

Many abstract interpretation frameworks and analyses for Prolog have been proposed, which seek to extract information useful for program optimization. Although motivated by practical considerations, notably making Prolog competitive with…

Logic in Computer Science · Computer Science 2025-06-18 Baudouin Le Charlier , Sabina Rossi , Pascal Van Hentenryck

G\"odel's Dialectica interpretation is a fundamental tool for the extraction of computational content from proofs, and plays a central role in today's proof mining program. In the past decades, it has also been studied from the perspective…

Logic in Computer Science · Computer Science 2025-12-10 Davide Barbarossa , Thomas Powell

Functional languages as input specifications for High-Level Synthesis (HLS) tools allow to specify data dependencies but do not contain a notion of time nor execution order. In this paper, we propose a method to add this notion to the…

Hardware Architecture · Computer Science 2025-04-11 Hendrik Folmer , Robert de Groote , Marco Bekooij

Program verifiers for imperative languages such as C may be annotation-based, in which assertions and invariants are put into source files and then checked, or tactic-based, where proof scripts separate from programs are interactively…

Programming Languages · Computer Science 2023-10-27 Litao Zhou , Jianxing Qin , Qinshi Wang , Andrew W. Appel , Qinxiang Cao
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