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Deductive verification typically relies on function contracts that specify the behavior of each function for a single function call. Relational properties link several function calls together within a single specification. They can express…

Software Engineering · Computer Science 2024-01-17 Lionel Blatter , Nikolai Kosmatov , Virgile Prevosto , Pascale Le Gall

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

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

We introduce Compositional Imitation Learning and Execution (CompILE): a framework for learning reusable, variable-length segments of hierarchically-structured behavior from demonstration data. CompILE uses a novel unsupervised,…

Constraint Handling Rules (CHR) are a committed-choice declarative language which has been designed for writing constraint solvers. A CHR program consists of multi-headed guarded rules which allow one to rewrite constraints into simpler…

Programming Languages · Computer Science 2007-05-23 Maurizio Gabbrielli , Maria Chiara Meo

Abstract interpretation, Hoare logic, and incorrectness (or reverse Hoare) logic are powerful techniques for static analysis of computer programs. All of them have been successfully extended to the quantum setting, but largely developed in…

Logic in Computer Science · Computer Science 2022-06-29 Yuan Feng , Sanjiang Li

Inspired by the efficient proof procedures discussed in {\em Computability logic} \cite{Jap03,Japic,Japfin}, we describe a heuristic proof procedure for first-order logic. This is a variant of Gentzen sequent system and has the following…

Logic in Computer Science · Computer Science 2019-12-24 Keehang Kwon

Cminor is a mid-level imperative programming language; there are proved-correct optimizing compilers from C to Cminor and from Cminor to machine language. We have redesigned Cminor so that it is suitable for Hoare Logic reasoning and we…

Programming Languages · Computer Science 2007-07-31 Andrew W. Appel , Sandrine Blazy

A well-established approach to proving progress properties such as deadlock-freedom and termination is to associate obligations with threads. For example, in most existing work the proof rule for lock acquisition prescribes a standard usage…

Programming Languages · Computer Science 2024-12-20 Justus Fasse , Bart Jacobs

We consider the problem of how to verify the security of probabilistic oblivious algorithms formally and systematically. Unfortunately, prior program logics fail to support a number of complexities that feature in the semantics and…

Programming Languages · Computer Science 2024-07-02 Pengbo Yan , Toby Murray , Olga Ohrimenko , Van-Thuan Pham , Robert Sison

A grammar formalism based upon CHR is proposed analogously to the way Definite Clause Grammars are defined and implemented on top of Prolog. These grammars execute as robust bottom-up parsers with an inherent treatment of ambiguity and a…

Computation and Language · Computer Science 2007-05-23 Henning Christiansen

An old dream of concurrency theory and programming language semantics has been to uncover the fundamental synchronization mechanisms which regulate situations as different as game semantics for higher-order programs, and Hoare logic for…

Logic in Computer Science · Computer Science 2020-05-12 Paul-André Melliès , Léo Stefanesco

Game semantics aim at describing the interactive behaviour of proofs by interpreting formulas as games on which proofs induce strategies. In this article, we introduce a game semantics for a fragment of first order propositional logic. One…

Logic in Computer Science · Computer Science 2008-12-18 Samuel Mimram

Two general methods for establishing the logarithmic behavior of recursively defined sequences of real numbers are presented. One is the interlacing method, and the other one is based on calculus. Both methods are used to prove logarithmic…

Combinatorics · Mathematics 2007-05-23 Tomislav Došlić , Darko Veljan

Separation logic and its variants can describe various properties on pointer programs. However, when it comes to properties on sequences, one may find it hard to formalize. To deal with properties on variable-length sequences and multilevel…

Logic in Computer Science · Computer Science 2023-02-09 Tianyue Cao , Bowen Zhang , Zhao Jin , Yongzhi Cao , Hanpin Wang

Higher-order constructs enable more expressive and concise code by allowing procedures to be parameterized by other procedures. Assertions allow expressing partial program specifications, which can be verified either at compile time…

Programming Languages · Computer Science 2025-09-11 Marco Ciccalè , Daniel Jurjo-Rivas , Jose F. Morales , Pedro López-García , Manuel V. Hermenegildo

We aim at a holistic perspective on program logics, including Hoare and incorrectness logics. To this end, we study different classes of properties arising from the generalization of the aforementioned logics. We compare our results with…

Logic in Computer Science · Computer Science 2023-12-18 Lena Verscht , Benjamin Kaminski

We examine the relationships between axiomatic and cyclic proof systems for the partial and total versions of Hoare logic and those of its dual, known as reverse Hoare logic (or sometimes incorrectness logic). In the axiomatic proof systems…

Logic in Computer Science · Computer Science 2026-03-03 James Brotherston , Quang Loc Le , Gauri Desai , Yukihiro Oda

This paper summarises the results obtained by the author and his collaborators in a program logic approach to the verification of quantum programs, including quantum Hoare logic, invariant generation and termination analysis for quantum…

Quantum Physics · Physics 2018-08-01 Mingsheng Ying

Complex Event Recognition (CER for short) refers to the activity of detecting patterns in streams of continuously arriving data. This field has been traditionally approached from a practical point of view, resulting in heterogeneous…

Databases · Computer Science 2017-12-05 Alejandro Grez , Cristian Riveros , Martin Ugarte , Stijn Vansummeren