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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

This work is devoted to constraint solving motivated by the debugging of constraint logic programs a la GNU-Prolog. The paper focuses only on the constraints. In this framework, constraint solving amounts to domain reduction. A computation…

Software Engineering · Computer Science 2007-05-23 Gerard Ferrand , Willy Lesaint , Alexandre Tessier

Logic-based approaches to AI have the advantage that their behavior can in principle be explained to a user. If, for instance, a Description Logic reasoner derives a consequence that triggers some action of the overall system, then one can…

Artificial Intelligence · Computer Science 2022-05-26 Christian Alrabbaa , Franz Baader , Stefan Borgwardt , Patrick Koopmann , Alisa Kovtunova

In this paper, we identify a fragment of second-order logic with restricted quantification that is expressive enough to capture numerous static analysis problems (e.g. safety proving, bug finding, termination and non-termination proving,…

Logic in Computer Science · Computer Science 2015-09-01 Cristina David , Daniel Kroening , Matt Lewis

We present a comprehensive programme analysing the decomposition of proof systems for non-classical logics into proof systems for other logics, especially classical logic, using an algebra of constraints. That is, one recovers a proof…

Logic in Computer Science · Computer Science 2023-10-20 Alexander V. Gheorghiu , David J. Pym

In most constraint programming systems, a limited number of search engines is offered while the programming of user-customized search algorithms requires low-level efforts, which complicates the deployment of such algorithms. To alleviate…

Programming Languages · Computer Science 2016-02-05 Yong Lin , Martin Henz

Control-flow refinement refers to program transformations whose purpose is to make implicit control-flow explicit, and is used in the context of program analysis to increase precision. Several techniques have been suggested for different…

Programming Languages · Computer Science 2019-08-01 Jesús J. Doménech , John P. Gallagher , Samir Genaim

The logic programming paradigm provides the basis for a new intensional view of higher-order notions. This view is realized primarily by employing the terms of a typed lambda calculus as representational devices and by using a richer form…

Programming Languages · Computer Science 2007-05-23 Gopalan Nadathur

Embedding models, which learn latent representations of users and items based on user-item interaction patterns, are a key component of recommendation systems. In many applications, contextual constraints need to be applied to refine…

Information Retrieval · Computer Science 2019-07-04 Syrine Krichene , Mike Gartrell , Clement Calauzenes

Adjoint logic is a general approach to combining multiple logics with different structural properties, including linear, affine, strict, and (ordinary) intuitionistic logics, where each proposition has an intrinsic mode of truth. It has…

Logic in Computer Science · Computer Science 2024-02-05 Junyoung Jang , Sophia Roshal , Frank Pfenning , Brigitte Pientka

Efficient omission of symmetric solution candidates is essential for combinatorial problem-solving. Most of the existing approaches are instance-specific and focus on the automatic computation of Symmetry Breaking Constraints (SBCs) for…

Logic in Computer Science · Computer Science 2022-04-26 Alice Tarzariol , Martin Gebser , Konstantin Schekotihin

The termination problem of a logic program can be addressed in either a static or a dynamic way. A static approach performs termination analysis at compile time, while a dynamic approach characterizes and tests termination of a logic…

Logic in Computer Science · Computer Science 2007-05-23 Yi-Dong Shen , Danny De Schreye

Problems in program analysis can be solved by developing novel program semantics and deriving abstractions conventionally. For over thirty years, higher-order program analysis has been sold as a hard problem. Its solutions have required…

Programming Languages · Computer Science 2011-05-03 Sam Tobin-Hochstadt , David Van Horn

We design various logics for proving hyper properties of iterative programs by application of abstract interpretation principles. In part I, we design a generic, structural, fixpoint abstract interpreter parameterized by an algebraic…

Logic in Computer Science · Computer Science 2024-11-19 Patrick Cousot , Jeffery Wang

Logic programming is a flexible programming paradigm due to the use of predicates without a fixed data flow. To extend logic languages with the compact notation of functional programming, there are various proposals to map evaluable…

Programming Languages · Computer Science 2022-05-17 Michael Hanus

Modular logic programs provide a way of viewing logic programs as consisting of many independent, meaningful modules. This paper introduces first-order modular logic programs, which can capture the meaning of many answer set programs. We…

Logic in Computer Science · Computer Science 2017-02-21 Amelia Harrison , Yuliya Lierler

Many program transformations and optimizations require information about the future behavior of the program. A standard way to obtain this information is to build an intermediate program representation, then use a backwards program analysis…

Programming Languages · Computer Science 2026-01-21 Ajay Brahmakshatriya , Saman Amarasinghe , Martin Rinard

Since the advent of LISP, the fifth generation programming language has developed for decades. However, compared with the fourth generation programming language, the fifth generation programming language has not been widely used because of…

Programming Languages · Computer Science 2022-06-03 Han Jipeng , Lichen Zhihang

We provide here a computational interpretation of first-order logic based on a constructive interpretation of satisfiability w.r.t. a fixed but arbitrary interpretation. In this approach the formulas themselves are programs. This contrasts…

Logic in Computer Science · Computer Science 2007-05-23 Krzysztof R. Apt , Marc Bezem

Product Lines (PL) have proved an effective approach to reuse-based systems development. Several modeling languages were proposed so far to specify PL. Although they can be very different, these languages show two common features: they…

Software Engineering · Computer Science 2023-09-29 Camille Salinesi , Raul Mazo , Daniel Diaz , Olfa Djebbi