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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 paper focuses on the inference of modes for which a logic program is guaranteed to terminate. This generalises traditional termination analysis where an analyser tries to verify termination for a specified mode. Our contribution is a…

Programming Languages · Computer Science 2007-05-23 Samir Genaim , Michael Codish

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

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

In the past years, analyzers have been introduced to detect classes of non-terminating queries for definite logic programs. Although these non-termination analyzers have shown to be rather precise, their applicability on real-life Prolog…

Programming Languages · Computer Science 2011-09-16 Dean Voets , Danny De Schreye

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

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

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

There are many techniques and tools for termination of C programs, but up to now they were not very powerful for termination proofs of programs whose termination depends on recursive data structures like lists. We present the first approach…

Logic in Computer Science · Computer Science 2023-07-21 Jera Hensel , Jürgen Giesl

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 a novel approach to termination analysis. In a first step, the analysis uses a program as a black-box which exhibits only a finite set of sample traces. Each sample trace is infinite but can be represented by a finite lasso. The…

Logic in Computer Science · Computer Science 2022-10-18 Matthias Heizmann , Jochen Hoenicke , Andreas Podelski

We propose an automated method for proving termination of $\pi$-calculus processes, based on a reduction to termination of sequential programs: we translate a $\pi$-calculus process to a sequential program, so that the termination of the…

Programming Languages · Computer Science 2021-09-02 Tsubasa Shoshi , Takuma Ishikawa , Naoki Kobayashi , Ken Sakayori , Ryosuke Sato , Takeshi Tsukada

There are many techniques and tools to prove termination of C programs, but up to now these tools were not very powerful for fully automated termination proofs of programs whose termination depends on recursive data structures like lists.…

Logic in Computer Science · Computer Science 2023-06-06 Jera Hensel , Jürgen Giesl

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

Termination is a central property in sequential programming models: a term is terminating if all its reduction sequences are finite. Termination is also important in concurrency in general, and for message-passing programs in particular. A…

Logic in Computer Science · Computer Science 2023-08-03 Joseph W. N. Paulus , Jorge A. Pérez , Daniele Nantes-Sobrinho

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 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

In this paper, we consider an approach introduced in term rewriting for the automatic detection of non-looping non-termination from patterns of rules. We adapt it to logic programming by defining a new unfolding technique that produces…

Logic in Computer Science · Computer Science 2026-01-14 Etienne Payet

Fair termination is the property of programs that may diverge "in principle" but that terminate "in practice", i.e. under suitable fairness assumptions concerning the resolution of non-deterministic choices. We study a conservative…

Logic in Computer Science · Computer Science 2022-07-11 Luca Ciccone , Luca Padovani

Termination properties of actual Prolog systems with constraints are fragile and difficult to analyse. The lack of the occurs-check, moded and overloaded arithmetical evaluation via is/2 and the occasional nontermination of finite domain…

Programming Languages · Computer Science 2009-03-13 Markus Triska , Ulrich Neumerkel , Jan Wielemaker
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