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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

We present an efficient algorithm to reduce the size of nondeterministic tree automata, while retaining their language. It is based on new transition pruning techniques, and quotienting of the state space w.r.t. suitable equivalences. It…

Formal Languages and Automata Theory · Computer Science 2016-01-07 Ricardo Almeida , Lukáš Holík , Richard Mayr

Dependency pairs are one of the most powerful techniques to analyze termination of term rewrite systems automatically. We adapt dependency pairs to the probabilistic setting and develop an annotated dependency pair framework for…

Logic in Computer Science · Computer Science 2025-06-09 Jan-Christoph Kassing , Jürgen Giesl

Rewriting techniques based on reduction orderings generate "just enough" consequences to retain first-order completeness. This is ideal for superposition-based first-order theorem proving, but for at least one approach to inductive…

Logic in Computer Science · Computer Science 2024-03-01 Márton Hajdu , Laura Kovács , Michael Rawson

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

In Transformer-based neural machine translation (NMT), the positional encoding mechanism helps the self-attention networks to learn the source representation with order dependency, which makes the Transformer-based NMT achieve…

Computation and Language · Computer Science 2020-04-09 Kehai Chen , Rui Wang , Masao Utiyama , Eiichiro Sumita

We introduce a new symbolic representation based on an original generalization of counter abstraction. Unlike classical counter abstraction (used in the analysis of parameterized systems with unordered or unstructured topologies) the new…

Logic in Computer Science · Computer Science 2015-03-20 Ahmed Rezine

The most common tools for word-alignment rely on a large amount of parallel sentences, which are then usually processed according to one of the IBM model algorithms. The training data is, however, the same as for machine translation (MT)…

Computation and Language · Computer Science 2021-04-01 Vilém Zouhar , Daria Pylypenko

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

We present an efficient approach to prove termination of monotone programs with integer variables, an expressive class of loops that is often encountered in computer programs. Our approach is based on a lightweight static analysis method…

Logic in Computer Science · Computer Science 2017-02-07 Omar Al-Bataineh , Xie Xiaofei , Mark Reynolds

Indonesian is an agglutinative language since it has a compounding process of word-formation. Therefore, the translation model of this language requires a mechanism that is even lower than the word level, referred to as the sub-word level.…

Computation and Language · Computer Science 2022-07-04 Mukhlis Amien , Feng Chong , Huang Heyan

The structure of the F5 algorithm to compute Gr\"obner bases makes it very efficient. However, while it is believed to terminate for so-called regular sequences, it is not clear whether it terminates for all inputs. This paper has two major…

Commutative Algebra · Mathematics 2012-02-29 Christian Eder , Justin Gash , John Perry

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

Tensor decomposition is a fundamental method used in various areas to deal with high-dimensional data. \emph{Tensor power method} (TPM) is one of the widely-used techniques in the decomposition of tensors. This paper presents a novel tensor…

Machine Learning · Computer Science 2023-06-02 Yichuan Deng , Zhao Song , Junze Yin

Simultaneous machine translation is a variant of machine translation that starts the translation process before the end of an input. This task faces a trade-off between translation accuracy and latency. We have to determine when we start…

Computation and Language · Computer Science 2019-11-28 Katsuki Chousa , Katsuhito Sudoh , Satoshi Nakamura

This paper presents the main features of a system that aims to transform regular expressions into shorter equivalent expressions. The system is also capable of computing other operations useful for simplification, such as checking the…

Symbolic Computation · Computer Science 2023-07-14 Baudouin Le Charlier

Word alignment was once a core unsupervised learning task in natural language processing because of its essential role in training statistical machine translation (MT) models. Although unnecessary for training neural MT models, word…

Computation and Language · Computer Science 2020-05-01 Thomas Zenkel , Joern Wuebker , John DeNero

There are termination proofs that are produced by termination tools for which certifiers are not powerful enough. However, a similar situation also occurs in the other direction. We have formalized termination techniques in a more general…

Logic in Computer Science · Computer Science 2012-08-09 Christian Sternagel , René Thiemann

A method for selecting solution constructors in narrowing is presented. The method is based on a sort discipline that describes regular sets of ground constructor terms as sorts. It is extended to cope with regular sets of ground…

Formal Languages and Automata Theory · Computer Science 2019-04-19 Jochen Burghardt
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