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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

We present a small-step, frame stack style, semantics for sequential Core Erlang, a dynamically typed, impure functional programming language. The semantics and the properties that we prove are machine-checked with the Coq proof assistant.…

Programming Languages · Computer Science 2023-08-25 Péter Bereczky , Dániel Horpácsi , Simon Thompson

The goal of this lecture is to show how modern theorem provers---in this case, the Coq proof assistant---can be used to mechanize the specification of programming languages and their semantics, and to reason over individual programs and…

Programming Languages · Computer Science 2010-10-28 Xavier Leroy

This paper focuses on the expressive power of disjunctive and normal logic programs under the stable model semantics over finite, infinite, or arbitrary structures. A translation from disjunctive logic programs into normal logic programs is…

Artificial Intelligence · Computer Science 2013-04-03 Heng Zhang , Yan Zhang

A reliable technique for deductive program verification should be proven sound with respect to the semantics of the programming language. For each different language, the construction of a separate soundness proof is often a laborious…

Programming Languages · Computer Science 2021-08-05 Ximeng Li , Qianying Zhang , Guohui Wang , Zhiping Shi , Yong Guan

We study the properties of input-consuming derivations of moded logic programs. Input-consuming derivations can be used to model the behavior of logic programs using dynamic scheduling and employing constructs such as delay declarations. We…

Programming Languages · Computer Science 2007-05-23 Annalisa Bossi , Sandro Etalle , Sabina Rossi

Integrating logic rules with other language features is increasingly sought after for advanced applications that require knowledge-base capabilities. To address this demand, increasingly more languages and extensions for such integration…

Programming Languages · Computer Science 2023-08-31 Yanhong A. Liu , Scott D. Stoller , Yi Tong , K. Tuncay Tekle

Some approaches to increasing program reliability involve a disciplined use of programming languages so as to minimise the hazards introduced by error-prone features. This is realised by writing code that is constrained to a subset of the a…

Programming Languages · Computer Science 2007-11-06 Guillem Marpons-Ucero , Julio Mariño , Ángel Herranz , Lars-Åke Fredlund , Manuel Carro , Juan José Moreno-Navarro

We use Hidden Markov Models to motivate a quantitative compositional semantics for noninterference-based security with iteration, including a refinement- or "implements" relation that compares two programs with respect to their information…

Cryptography and Security · Computer Science 2019-02-20 Annabelle McIver , Larissa Meinicke , Carroll Morgan

We present a new approach to termination analysis of numerical computations in logic programs. Traditional approaches fail to analyse them due to non well-foundedness of the integers. We present a technique that allows to overcome these…

Programming Languages · Computer Science 2007-05-23 Alexander Serebrenik , Danny De Schreye

Higher-order constructs extend the expressiveness of first-order (Constraint) Logic Programming ((C)LP) both syntactically and semantically. At the same time assertions have been in use for some time in (C)LP systems helping programmers…

Programming Languages · Computer Science 2014-04-17 Nataliia Stulova , José F. Morales , Manuel V. Hermenegildo

This thesis introduces the "method of structural refinement", which serves as a means of transforming the relational semantics of a modal and/or constructive logic into an 'economical' proof system by connecting two proof-theoretic…

Logic in Computer Science · Computer Science 2021-08-02 Tim Lyon

The system PL permits the translation of abstract proofs of program correctness into programs in a variety of programming languages. A programming language satisfying certain axioms may be the target of such a translation. The system PL…

Software Engineering · Computer Science 2007-05-23 David A. Plaisted

We give a number of formal proofs of theorems from the field of computable analysis. Many of our results specify executable algorithms that work on infinite inputs by means of operating on finite approximations and are proven correct in the…

Logic in Computer Science · Computer Science 2023-06-22 Florian Steinberg , Laurent Thery , Holger Thies

We present a formal model of Checked C, a dialect of C that aims to enforce spatial memory safety. Our model pays particular attention to the semantics of dynamically sized, potentially null-terminated arrays. We formalize this model in…

Programming Languages · Computer Science 2022-02-01 Liyi Li , Yiyun Liu , Deena L. Postol , Leonidas Lampropoulos , David Van Horn , Michael Hicks

The importance of category theory in recent developments in both mathematics and in computer science cannot be overstated. However, its abstract nature makes it difficult to understand at first. Graphical languages have been developed to…

Logic in Computer Science · Computer Science 2025-05-21 Luc Chabassier

This extended abstract gives a brief outline of the connections between the descriptions and variable concepts. Thus, the notion of a concept is extended to include both the syntax and semantics features. The evaluation map in use is…

Logic in Computer Science · Computer Science 2007-05-23 Viacheslav Wolfengagen

We show a method of describing processes with indefinite causal order (ICO) by a definite causal order. We do so by relabeling the processes that take place in the circuit in accordance with the basis of measurement of control qubit. Causal…

Quantum Physics · Physics 2022-03-04 Stanislav Filatov , Marcis Auzinsh

We consider an extension of logic programs, called \omega-programs, that can be used to define predicates over infinite lists. \omega-programs allow us to specify properties of the infinite behavior of reactive systems and, in general,…

Programming Languages · Computer Science 2010-07-26 Alberto Pettorossi , Maurizio Proietti , Valerio Senni

Constructor-Based Conditional Rewriting Logic is a general framework for integrating first-order functional and logic programming which gives an algebraic semantics for non-deterministic functional-logic programs. In the context of this…

Logic in Computer Science · Computer Science 2007-05-23 Juan M. Molina , Ernesto Pimentel
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