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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

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 overcoming these…

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

There are two kinds of approaches for termination analysis of logic programs: "transformational" and "direct" ones. Direct approaches prove termination directly on the basis of the logic program. Transformational approaches transform a…

Logic in Computer Science · Computer Science 2008-09-01 P. Schneider-Kamp , J. Giesl , A. Serebrenik , R. Thiemann

We present cTI, the first system for universal left-termination inference of logic programs. Termination inference generalizes termination analysis and checking. Traditionally, a termination analyzer tries to prove that a given class of…

Programming Languages · Computer Science 2007-05-23 Fred Mesnard , Roberto Bagnara

Determining whether a given program terminates is the quintessential undecidable problem. Algorithms for termination analysis are divided into two groups: (1) algorithms with strong behavioral guarantees that work in limited circumstances…

Programming Languages · Computer Science 2021-09-16 Shaowei Zhu , Zachary Kincaid

We present a heuristic framework for attacking the undecidable termination problem of logic programs, as an alternative to current termination/non-termination proof approaches. We introduce an idea of termination prediction, which predicts…

Programming Languages · Computer Science 2009-05-14 Yi-Dong Shen , Danny De Schreye , Dean Voets

Tabled logic programming is receiving increasing attention in the Logic Programming community. It avoids many of the shortcomings of SLD execution and provides a more flexible and often extremely efficient execution mechanism for logic…

Logic in Computer Science · Computer Science 2007-05-23 Sofie Verbaeten , Danny De Schreye , Konstantinos Sagonas

We present a static analysis technique for non-termination inference of logic programs. Our framework relies on an extension of the subsumption test, where some specific argument positions can be instantiated while others are generalized.…

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

Termination is an important and well-studied property for logic programs. However, almost all approaches for automated termination analysis focus on definite logic programs, whereas real-world Prolog programs typically use the cut operator.…

Logic in Computer Science · Computer Science 2010-07-29 Peter Schneider-Kamp , Jürgen Giesl , Thomas Ströder , Alexander Serebrenik , René Thiemann

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

We propose a modular method for proving termination of general logic programs (i.e., logic programs with negation). It is based on the notion of acceptable programs, but it allows us to prove termination in a truly modular way. We consider…

Logic in Computer Science · Computer Science 2025-06-18 Annalisa Bossi , Nicoletta Cocco , Sandro Etalle , Sabina Rossi

We introduce a method of verifying termination of logic programs with respect to concrete queries (instead of abstract query patterns). A necessary and sufficient condition is established and an algorithm for automatic verification is…

Artificial Intelligence · Computer Science 2007-05-23 Yi-Dong Shen , Li-Yan Yuan , Jia-Huai You

We present a novel technique for proving program termination which introduces a new dimension of modularity. Existing techniques use the program to incrementally construct a termination proof. While the proof keeps changing, the program…

Logic in Computer Science · Computer Science 2015-05-26 Pierre Ganty , Samir Genaim

This paper describes a general framework for automatic termination analysis of logic programs, where we understand by ``termination'' the finitenes s of the LD-tree constructed for the program and a given query. A general property of…

Programming Languages · Computer Science 2020-06-11 Nachum Dershowitz , Naomi Lindenstrauss , Yehoshua Sagiv , Alexander Serebrenik

For logic programs with arithmetic predicates, showing termination is not easy, since the usual order for the integers is not well-founded. A new method, easily incorporated in the TermiLog system for automatic termination analysis, is…

Programming Languages · Computer Science 2007-05-23 Nachum Dershowitz , Naomi Lindenstrauss , Yehoshua Sagiv , Alexander Serebrenik

This Survey provides an overview of techniques in termination analysis for programs with numerical variables and transitions defined by linear constraints. This subarea of program analysis is challenging due to the existence of undecidable…

Programming Languages · Computer Science 2026-01-27 Amir M. Ben-Amram , Samir Genaim , Joël Ouaknine , James Worrell

One recurring problem in program development is that of understanding how to re-use code developed by a third party. In the context of (constraint) logic programming, part of this problem reduces to figuring out how to query a program. If…

Programming Languages · Computer Science 2007-05-23 Andy King , Lunjin Lu

We present a new approach to termination analysis of logic programs. The essence of the approach is that we make use of general term-orderings (instead of level mappings), like it is done in transformational approaches to logic program…

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

We present necessary and sufficient conditions for the termination of linear homogeneous programs. We also develop a complete method to check termination for this class of programs. Our complete characterization of termination for such…

Programming Languages · Computer Science 2014-09-11 Rachid Rebiha , Arnaldo Vieira Moura , Nadir Matringe

Proving program termination is key to guaranteeing absence of undesirable behaviour, such as hanging programs and even security vulnerabilities such as denial-of-service attacks. To make termination checks scale to large systems,…

Software Engineering · Computer Science 2015-05-19 Hong-Yi Chen , Cristina David , Daniel Kroening , Peter Schrammel , Björn Wachter
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