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We present a new abstract interpretation framework for the precise over-approximation of numerical fixpoint iterators. Our key observation is that unlike in standard abstract interpretation (AI), typically used to over-approximate all…

Machine Learning · Computer Science 2023-04-27 Mark Niklas Müller , Marc Fischer , Robin Staab , Martin Vechev

Static analysis by abstract interpretation aims at automatically proving properties of computer programs. To do this, an over-approximation of program semantics, defined as the least fixpoint of a system of semantic equations, must be…

Programming Languages · Computer Science 2013-05-02 Olivier Bouissou , Yassamine Seladji , Alexandre Chapoutot

We present and evaluate a compiler from Prolog (and extensions) to JavaScript which makes it possible to use (constraint) logic programming to develop the client side of web applications while being compliant with current industry…

Programming Languages · Computer Science 2012-10-11 Jose F. Morales , Rémy Haemmerlé , Manuel Carro , Manuel V. Hermenegildo

Effective static analyses have been proposed which infer bounds on the number of resolutions or reductions. These have the advantage of being independent from the platform on which the programs are executed and have been shown to be useful…

Programming Languages · Computer Science 2007-05-23 Edison Mera , Pedro Lopez-Garcia , German Puebla , Manuel Carro , Manuel Hermenegildo

Abstract Interpretation approximates the semantics of a program by mimicking its concrete fixpoint computation on an abstract domain $\mathbb{A}$. The abstract (post-) fixpoint computation is classically divided into two phases: the…

Programming Languages · Computer Science 2022-06-23 Vincenzo Arceri , Isabella Mastroeni , Enea Zaffanella

Constraint Logic Programming (CLP) is a language scheme for combining two declarative paradigms: constraint solving and logic programming. Concurrent Constraint Programming (CCP) is a declarative model for concurrency where agents interact…

Logic in Computer Science · Computer Science 2018-12-03 Moreno Falaschi , Carlos Olarte

Static analysis is an essential component of many modern software development tools. Unfortunately, the ever-increasing complexity of static analyzers makes their coding error-prone. Even analysis tools based on rigorous mathematical…

Software Engineering · Computer Science 2025-05-08 Daniela Ferreiro , Ignacio Casso , Jose F. Morales , Pedro López-García , Manuel V. Hermenegildo

To appear in Theory and Practice of Logic Programming (TPLP), Proceedings of ICLP 2015 Recent advances in knowledge compilation introduced techniques to compile \emph{positive} logic programs into propositional logic, essentially exploiting…

Logic in Computer Science · Computer Science 2020-02-19 Bart Bogaerts , Guy Van den Broeck

Formal reasoning about finite sets and cardinality is an important tool for many applications, including software verification, where very often one needs to reason about the size of a given data structure and not only about what its…

Logic in Computer Science · Computer Science 2021-10-06 Maximiliano Cristiá , Gianfranco Rossi

Many real world domains require the representation of a measure of uncertainty. The most common such representation is probability, and the combination of probability with logic programs has given rise to the field of Probabilistic Logic…

Artificial Intelligence · Computer Science 2011-07-26 Fabrizio Riguzzi , Terrance Swift

On one hand, termination analysis of logic programs is now a fairly established research topic within the logic programming community. On the other hand, non-termination analysis seems to remain a much less attractive subject. If we divide…

Programming Languages · Computer Science 2007-05-23 Etienne Payet , Fred Mesnard

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

Tabled evaluation is a recognized and powerful technique that overcomes some limitations of traditional Prolog systems in dealing with recursion and redundant sub-computations. We can distinguish two main categories of tabling mechanisms:…

Logic in Computer Science · Computer Science 2011-07-27 Miguel Areias , Ricardo Rocha

This paper presents a new type analysis for logic programs. The analysis is performed with a priori type definitions; and type expressions are formed from a fixed alphabet of type constructors. Non-discriminative union is used to join type…

Programming Languages · Computer Science 2010-12-16 Lunjin Lu

An efficient and flexible engine for computing fixed points is critical for many practical applications. In this paper, we firstly present a goal-directed fixed point computation strategy in the logic programming paradigm. The strategy…

Programming Languages · Computer Science 2007-05-23 Hai-Feng Guo , Gopal Gupta

This paper describes how XSB combines top-down and bottom-up computation through the mechanisms of variant tabling and subsumptive tabling with abstraction, respectively. It is well known that top-down evaluation of logical rules in Prolog…

Logic in Computer Science · Computer Science 2018-04-24 David S. Warren

LeoPARD supports the implementation of knowledge representation and reasoning tools for higher-order logic(s). It combines a sophisticated data structure layer (polymorphically typed {\lambda}-calculus with nameless spine notation, explicit…

Logic in Computer Science · Computer Science 2015-05-08 Max Wisniewski , Alexander Steen , Christoph Benzmüller

Uncertainty in Logic Programming has been investigated during the last decades, dealing with various extensions of the classical LP paradigm and different applications. Existing proposals rely on different approaches, such as clause…

Logic in Computer Science · Computer Science 2011-01-17 Mario Rodríguez-Artalejo , Carlos A. Romero-Díaz

My research explores integrating deep learning and logic programming to set the basis for a new generation of AI systems. By combining neural networks with Inductive Logic Programming (ILP), the goal is to construct systems that make…

Logic in Computer Science · Computer Science 2025-02-14 Talissa Dreossi

Automated theorem proving (ATP) benchmarks largely consist of problems formalized in MathLib, so current ATP training and evaluation are heavily biased toward MathLib's definitional framework. However, frontier mathematics is often…