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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

We study termination time and recurrence time in programs with unbounded recursion, which are either randomized or operate on some statistically quantified inputs. As the underlying formal model for such programs we use probabilistic…

Logic in Computer Science · Computer Science 2012-06-01 Tomas Brazdil , Stefan Kiefer , Antonin Kucera , Ivana Hutarova Varekova

We consider the termination/non-termination property of a class of loops. Such loops are commonly used abstractions of real program pieces. Second-order logic is a convenient language to express non-termination. Of course, such property is…

Logic in Computer Science · Computer Science 2014-12-11 Fred Mesnard , Etienne Payet

This article introduces new acceleration methods for fixed-point iterations. Extrapolations are computed using two or three mappings alternately and a new type of step length is proposed with good properties for nonlinear applications. The…

Optimization and Control · Mathematics 2021-08-17 Nicolas Lepage-Saucier

We introduce the Scheduling.jl Julia package, which is intended for collaboratively conducting scheduling research and for sharing implementations of algorithms. It provides the fundamental building blocks for implementing scheduling…

Data Structures and Algorithms · Computer Science 2020-03-12 Sascha Hunold , Bartłomiej Przybylski

Every Constraint Programming (CP) solver exposes a library of constraints for solving combinatorial problems. In order to be useful, CP solvers need to be bug-free. Therefore the testing of the solver is crucial to make developers and users…

Artificial Intelligence · Computer Science 2018-07-12 Aurélie Massart , Valentin Rombouts , Pierre Schaus

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 present a new kind of nontermination argument, called geometric nontermination argument. The geometric nontermination argument is a finite representation of an infinite execution that has the form of a sum of several geometric series.…

Logic in Computer Science · Computer Science 2016-09-20 Jan Leike , Matthias Heizmann

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 propose a new algorithmic framework for sequential hypothesis testing with i.i.d. data, which includes A/B testing, nonparametric two-sample testing, and independence testing as special cases. It is novel in several ways: (a) it takes…

Machine Learning · Statistics 2016-03-03 Akshay Balsubramani , Aaditya Ramdas

We propose TOPL automata as a new method for runtime verification of systems with unbounded resource generation. Paradigmatic such systems are object-oriented programs which can dynamically generate an unbounded number of fresh object…

Formal Languages and Automata Theory · Computer Science 2015-01-21 Radu Grigore , Dino Distefano , Rasmus Lerchedahl Petersen , Nikos Tzevelekos

We present a CLP(FD)-based constraint solver able to deal with unbounded domains. It is based on constraint propagation, resorting to enumeration if all other methods fail. An important aspect is detecting when enumeration was complete and…

Programming Languages · Computer Science 2017-01-04 Sebastian Krings , Michael Leuschel

We present the Julia package HomotopyContinuation.jl, which provides an algorithmic framework for solving polynomial systems by numerical homotopy continuation. We introduce the basic capabilities of the package and demonstrate the software…

Mathematical Software · Computer Science 2018-05-31 Paul Breiding , Sascha Timme

Program synthesis -- the automatic generation of code given a specification -- is one of the most fundamental tasks in artificial intelligence (AI) and the dream of many programmers. Numerous synthesizers have been developed for program…

In paper describes the new logic programming language Delta, which have a many good properties. Delta-programs is p-computable, verifiable and can translation on other languages. Also we describe the Delta-methodology for constructing…

Logic in Computer Science · Computer Science 2019-07-19 Andrey Nechesov

In this paper, we present Lupa - a framework for large-scale analysis of the programming language usage. Lupa is a command line tool that uses the power of the IntelliJ Platform under the hood, which gives it access to powerful static…

Programming Languages · Computer Science 2022-03-30 Anna Vlasova , Maria Tigina , Ilya Vlasov , Anastasiia Birillo , Yaroslav Golubev , Timofey Bryksin

Logic programming with tabling and constraints (TCLP, tabled constraint logic programming) has been shown to be more expressive and, in some cases, more efficient than LP, CLP, or LP with tabling. In this paper we provide insights regarding…

Logic in Computer Science · Computer Science 2020-10-01 Joaquín Arias , Manuel Carro

A fundamental problem in program verification concerns the termination of simple linear loops of the form x := u ; while Bx >= b do {x := Ax + a} where x is a vector of variables, u, a, and c are integer vectors, and A and B are integer…

Computational Complexity · Computer Science 2014-10-14 Joël Ouaknine , João Sousa Pinto , James Worrell

The correctness of a compiler affects the correctness of every program written in the language, and thus must be thoroughly evaluated. Existing automatic compiler testing methods however either rely on weak oracles (e.g., a program behaves…

Software Engineering · Computer Science 2024-01-03 Guoliang Dong , Jun Sun , Richard Schumi , Bo Wang , Xinyu Wang

Proving programs terminating is a fundamental computer science challenge. Recent research has produced powerful tools that can check a wide range of programs for termination. The analog for probabilistic programs, namely termination with…

Logic in Computer Science · Computer Science 2012-04-16 Javier Esparza , Andreas Gaiser , Stefan Kiefer