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In recent years, numerous techniques were developed to automatically prove termination of different kinds of probabilistic programs. However, there are only few automated methods to disprove their termination. In this paper, we present the…

Logic in Computer Science · Computer Science 2026-05-29 Jan-Christoph Kassing , Henri Nagel , Alexander Schlecht , Jürgen Giesl

There is growing interest in termination reasoning for non-linear programs and, meanwhile, recent dynamic strategies have shown they are able to infer invariants for such challenging programs. These advances led us to hypothesize that…

Programming Languages · Computer Science 2020-10-13 Ton Chanh Le , Timos Antonopoulos , Parisa Fathololumi , Eric Koskinen , ThanhVu Nguyen

We present the first approach to prove non-termination of integer programs that is based on loop acceleration. If our technique cannot show non-termination of a loop, it tries to accelerate it instead in order to find paths to other…

Logic in Computer Science · Computer Science 2019-08-09 Florian Frohn , 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

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

There are many evaluation strategies for term rewrite systems, but automatically proving termination or analyzing complexity is usually easiest for innermost rewriting. Several syntactic criteria exist when innermost termination implies…

Logic in Computer Science · Computer Science 2025-12-17 Jan-Christoph Kassing , Jürgen Giesl

Program termination is a hot research topic in program analysis. The last few years have witnessed the development of termination analyzers for programming languages such as C and Java with remarkable precision and performance. These…

Programming Languages · Computer Science 2013-07-26 Roberto Bagnara , Fred Mesnard

We introduce a novel approach to the automated termination analysis of computer programs: we use neural networks to represent ranking functions. Ranking functions map program states to values that are bounded from below and decrease as a…

Machine Learning · Computer Science 2022-09-07 Mirco Giacobbe , Daniel Kroening , Julian Parsert

There are many evaluation strategies for term rewrite systems, but proving termination automatically is usually easiest for innermost rewriting. Several syntactic criteria exist when innermost termination implies full termination. We adapt…

Logic in Computer Science · Computer Science 2024-02-13 Jan-Christoph Kassing , Florian Frohn , Jürgen Giesl

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

The general setting of this work is the constraint-based synthesis of termination arguments. We consider a restricted class of programs called lasso programs. The termination argument for a lasso program is a pair of a ranking function and…

Logic in Computer Science · Computer Science 2014-01-22 Matthias Heizmann , Jochen Hoenicke , Jan Leike , Andreas Podelski

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

We present a new algorithm for computing upper bounds on the number of executions of each program instruction during any single program run. The upper bounds are expressed as functions of program input values. The algorithm is primarily…

Programming Languages · Computer Science 2016-05-13 Pavel Čadek , Jan Strejček , Marek Trtík

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

In the context of tree-search stochastic planning algorithms where a generative model is available, we consider on-line planning algorithms building trees in order to recommend an action. We investigate the question of avoiding re-planning…

Machine Learning · Computer Science 2019-02-14 Erwan Lecarpentier , Guillaume Infantes , Charles Lesire , Emmanuel Rachelson

A new technique is presented to prove non-termination of term rewriting. The basic idea is to find a non-empty regular language of terms that is closed under rewriting and does not contain normal forms. It is automated by representing the…

Logic in Computer Science · Computer Science 2015-05-05 Jörg Endrullis , Hans Zantema

We describe a method for proving non-looping non-termination, that is, of term rewriting systems that do not admit looping reductions. As certificates of non-termination, we employ regular (tree) automata.

Logic in Computer Science · Computer Science 2014-05-23 Jörg Endrullis , Hans Zantema

Context: Refactoring is the art of modifying the design of a system without altering its behavior. The idea is to reorganize variables, classes and methods to facilitate their future adaptations and comprehension. As the concept of behavior…

Software Engineering · Computer Science 2021-07-23 Eman Abdullah AlOmar , Mohamed Wiem Mkaouer , Christian Newman , Ali Ouni

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

In this article we investigate how a subterm pattern matching algorithm can be exploited to implement efficient term rewriting procedures. From the left-hand sides of the rewrite system we construct a set automaton, which can be used to…

Computation and Language · Computer Science 2023-04-07 Mark Bouwman , Rick Erkens
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