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This paper describes an approach for reusing specification patterns. Specification patterns are design patterns that are expressed in a formal specification language. Reusing a specification pattern means instantiating it or composing it…

Software Engineering · Computer Science 2016-08-16 Sandrine Blazy , Frédéric Gervais , Régine Laleau

In this work, we explore proof theoretical connections between sequent, nested and labelled calculi. In particular, we show a general algorithm for transforming a class of nested systems into sequent calculus systems, passing through linear…

Logic in Computer Science · Computer Science 2018-02-15 Elaine Pimentel

A class theorem is presented and proved: the complex Fourier transforms of a certain class of exponential functions have all their zeros on the real line. A class of basis functions is first considered, and the class is then extended via…

Complex Variables · Mathematics 2009-01-23 Jeremy Williams

We present a logic named L_{LF} whose intended use is to formalize properties of specifications developed in the dependently typed lambda calculus LF. The logic is parameterized by the LF signature that constitutes the specification. Atomic…

Logic in Computer Science · Computer Science 2022-04-12 Gopalan Nadathur , Mary Southern

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

Learning linear temporal logic (LTL) formulas from examples labeled as positive or negative has found applications in inferring descriptions of system behavior. We summarize two methods to learn LTL formulas from examples in two different…

Logic in Computer Science · Computer Science 2022-12-05 Jean-Raphaël Gaglione , Rajarshi Roy , Nasim Baharisangari , Daniel Neider , Zhe Xu , Ufuk Topcu

We present a formalization of the OSGi component framework. Our formalization is intended to be used as a basis for describing behavior of OSGi based systems. Furthermore, we describe specification formalisms for describing properties of…

Software Engineering · Computer Science 2015-03-20 Jan Olaf Blech

In this paper, we address the problem of the (reactive) realizability of specifications of theories richer than Booleans, including arithmetic theories. Our approach transforms theory specifications into purely Boolean specifications by (1)…

Logic in Computer Science · Computer Science 2023-10-27 Andoni Rodriguez , Cesar Sanchez

A framework for the elicitation and debugging of formal specifications for Cyber-Physical Systems is presented. The elicitation of specifications is handled through a graphical interface. Two debugging algorithms are presented. The first…

Systems and Control · Computer Science 2018-07-30 Adel Dokhanchi , Bardh Hoxha , Georgios Fainekos

This article illustrates the use of a logical specification language to capture various forms of confidentiality properties used in the security literature.

Logic in Computer Science · Computer Science 2007-05-23 Riccardo Pucella

Techniques for runtime verification often utilise specification languages that are (i) reasonably expressive, and (ii) relatively abstract (i.e. they operate on a level of abstraction that separates them from the system being monitored).…

Logic in Computer Science · Computer Science 2018-06-11 Joshua Heneage Dawes , Giles Reger

We present a logical framework for the verification of relational properties in imperative programs. Our work is motivated by relational properties which come from security applications and often require reasoning about formulas with…

Logic in Computer Science · Computer Science 2019-08-13 Gilles Barthe , Renate Eilers , Pamina Georgiou , Bernhard Gleiss , Laura Kovacs , Matteo Maffei

Fully automated verification of large-scale software and hardware systems is arguably the holy grail of formal methods. Large language models (LLMs) have recently demonstrated their potential for enhancing the degree of automation in formal…

Software Engineering · Computer Science 2026-03-11 Zhongyi Wang , Tengjie Lin , Mingshuai Chen , Haokun Li , Mingqi Yang , Xiao Yi , Shengchao Qin , Yixing Luo , Xiaofeng Li , Bin Gu , Liqiang Lu , Jianwei Yin

We describe and compare design choices for meta-predicate semantics, as found in representative Prolog module systems and in Logtalk. We look at the consequences of these design choices from a pragmatic perspective, discussing explicit…

Programming Languages · Computer Science 2010-09-21 Paulo Moura

In this lecture notes we try to familiarize the audience with the theory of Bernoulli polynomials; we study their properties, and we give, with proofs and references, some of the most relevant results related to them. Several applications…

Classical Analysis and ODEs · Mathematics 2016-02-10 Omran Kouba

This document describes syntax, semantics and implementation guidelines in order to enrich the DLV system with the possibility to make external C function calls. This feature is realized by the introduction of parametric external…

Artificial Intelligence · Computer Science 2007-05-23 G. Ianni , F. Calimeri , A. Pietramala , M. C. Santoro

We present a method for verifying partial correctness properties of imperative programs that manipulate integers and arrays by using techniques based on the transformation of constraint logic programs (CLP). We use CLP as a metalanguage for…

Programming Languages · Computer Science 2013-09-23 Emanuele De Angelis , Fabio Fioravanti , Alberto Pettorossi , Maurizio Proietti

We present an algebraic characterization of the complexity classes Logspace and NLogspace, using an algebra with a composition law based on unification. This new bridge between unification and complexity classes is inspired from proof…

Logic in Computer Science · Computer Science 2018-05-29 Clément Aubert , Marc Bagnol

In this paper, we prove a version of the typed B\"ohm theorem on the linear lambda calculus, which says, for any given types A and B, when two different closed terms s1 and s2 of A and any closed terms u1 and u2 of B are given, there is a…

Logic in Computer Science · Computer Science 2016-08-22 Satoshi Matsuoka

In Programming by Example, a system attempts to infer a program from input and output examples, generally by searching for a composition of certain base functions. Performing a naive brute force search is infeasible for even mildly involved…

Artificial Intelligence · Computer Science 2012-09-19 Aditya Krishna Menon , Omer Tamuz , Sumit Gulwani , Butler Lampson , Adam Tauman Kalai
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