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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

Machine translation systems are expected to cope with various types of constraints in many practical scenarios. While neural machine translation (NMT) has achieved strong performance in unconstrained cases, it is non-trivial to impose…

Computation and Language · Computer Science 2022-10-24 Shuo Wang , Peng Li , Zhixing Tan , Zhaopeng Tu , Maosong Sun , Yang Liu

We introduce a modified version of the well-known dependency pair framework that is suitable for the termination analysis of rewriting under forbidden pattern restrictions. By attaching contexts to dependency pairs that represent the…

Logic in Computer Science · Computer Science 2010-12-30 Bernhard Gramlich , Felix Schernhammer

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

Proving program termination is typically done by finding a well-founded ranking function for the program states. Existing termination provers typically find ranking functions using either linear algebra or templates. As such they are often…

Logic in Computer Science · Computer Science 2014-10-21 Cristina David , Daniel Kroening , Matt Lewis

In this work, we consider the problem of autonomously discovering behavioral abstractions, or options, for reinforcement learning agents. We propose an algorithm that focuses on the termination condition, as opposed to -- as is common --…

Artificial Intelligence · Computer Science 2019-02-27 Anna Harutyunyan , Will Dabney , Diana Borsa , Nicolas Heess , Remi Munos , Doina Precup

The language Timed Concurrent Constraint (tccp) is the extension over time of the Concurrent Constraint Programming (cc) paradigm that allows us to specify concurrent systems where timing is critical, for example reactive systems. Systems…

Logic in Computer Science · Computer Science 2007-05-23 Moreno Falaschi , Alicia Villanueva

Logically Constrained Term Rewriting Systems (LCTRSs) provide a general framework for term rewriting with constraints. We discuss a simple dependency pair approach to prove termination of LCTRSs. We see that existing techniques transfer to…

Logic in Computer Science · Computer Science 2016-01-14 Cynthia Kop

Reference models convey best practices and standards. The reference frameworks necessitate conformance checks to ensure adherence to established guidelines and principles, which is crucial for maintaining quality and consistency in various…

Software Engineering · Computer Science 2025-09-30 Bernhard Rumpe , Max Stachon , Sebastian Stüber , Valdes Voufo

We study the termination problem of the chase algorithm, a central tool in various database problems such as the constraint implication problem, Conjunctive Query optimization, rewriting queries using views, data exchange, and data…

Databases · Computer Science 2009-09-17 Michael Meier , Michael Schmidt , Georg Lausen

The task of inferring logical formulas from examples has garnered significant attention as a means to assist engineers in creating formal specifications used in the design, synthesis, and verification of computing systems. Among various…

Logic in Computer Science · Computer Science 2025-06-04 Benjamin Bordais , Daniel Neider

Determining whether a program terminates is a core challenge in program analysis with direct implications for correctness, verification, and security. We investigate whether transformer architectures can recognise termination patterns…

Programming Languages · Computer Science 2026-04-02 Yoav Alon , Cristina David

In this contribution we revisit regular model checking, a powerful framework that has been successfully applied for the verification of infinite-state systems, especially parameterized systems (concurrent systems with an arbitrary number of…

Logic in Computer Science · Computer Science 2021-11-23 Anthony W. Lin , Philipp Rümmer

In this paper, we study the model-checking and parameter synthesis problems of the logic TCTL over discrete-timed automata where parameters are allowed both in the model (timed automaton) and in the property (temporal formula). Our results…

Logic in Computer Science · Computer Science 2017-01-11 Veronique Bruyere , Jean-Francois Raskin

We propose a generic termination proof method for rewriting under strategies, based on an explicit induction on the termination property. Rewriting trees on ground terms are modeled by proof trees, generated by alternatively applying…

Logic in Computer Science · Computer Science 2007-05-23 Isabelle Gnaedig , Helene Kirchner

Several authors devised type-based termination criteria for ML-like languages allowing non-structural recursive calls. We extend these works to general rewriting and dependent types, hence providing a powerful termination criterion for the…

Logic in Computer Science · Computer Science 2007-05-23 Frederic Blanqui

Technology Assisted Review (TAR) stopping rules aim to reduce the cost of manually assessing documents for relevance by minimising the number of documents that need to be examined to ensure a desired level of recall. This paper extends an…

Information Retrieval · Computer Science 2023-12-07 Reem Bin-Hezam , Mark Stevenson

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 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

The characterisation of termination using well-founded monotone algebras has been a milestone on the way to automated termination techniques, of which we have seen an extensive development over the past years. Both the semantic…

Logic in Computer Science · Computer Science 2015-07-01 Joerg Endrullis , Roel de Vrijer , Johannes Waldmann