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Logically constrained term rewriting is a rewriting framework that supports built-in data structures such as integers and bit vectors. Recently, constrained terms play a key role in various analyses and applications of logically constrained…

Logic in Computer Science · Computer Science 2025-12-16 Kanta Takahata , Jonas Schöpf , Naoki Nishida , Takahito Aoto

Existential rules are an expressive knowledge representation language mainly developed to query data. In the literature, they are often supposed to be in some normal form that simplifies technical developments. For instance, a common…

Artificial Intelligence · Computer Science 2022-06-08 David Carral , Lucas Larroque , Marie-Laure Mugnier , Michaël Thomazo

In this paper we address the decision problem for a fragment of set theory with restricted quantification which extends the language studied in [4] with pair related quantifiers and constructs, in view of possible applications in the field…

Logic in Computer Science · Computer Science 2012-10-10 Domenico Cantone , Cristiano Longo

We investigate regular realizability (RR) problems, which are the problems of verifying whether intersection of a regular language -- the input of the problem -- and fixed language called filter is non-empty. In this paper we focus on the…

Formal Languages and Automata Theory · Computer Science 2015-04-23 Alexander A. Rubtsov , Mikhail N. Vyalyi

Words in some natural languages can have a composite structure. Elements of this structure include the root (that could also be composite), prefixes and suffixes with which various nuances and relations to other words can be expressed.…

Computation and Language · Computer Science 2017-09-05 Rustem Takhanov , Zhenisbek Assylbekov

We investigate regular realizability (RR) problems, which are the problems of verifying whether intersection of a regular language -- the input of the problem -- and fixed language called filter is non-empty. We consider two kind of…

Formal Languages and Automata Theory · Computer Science 2015-03-20 Alexander A. Rubtsov

One of the most interesting questions concerning hierarchical control of discrete-event systems with partial observations is a condition under which the language observability is preserved between the original and the abstracted plant.…

Systems and Control · Computer Science 2012-01-10 Tomáš Masopust

We investigate rules which allow variable elimination in binary CSP (constraint satisfaction problem) instances while conserving satisfiability. We study variable-elimination rules based on the language of forbidden patterns enriched with…

Data Structures and Algorithms · Computer Science 2019-05-13 Martin C. Cooper , Achref El Mouelhi , Cyril Terrioux

In [1], we introduced the weakly synchronizing languages for probabilistic automata. In this report, we show that the emptiness problem of weakly synchronizing languages for probabilistic automata is undecidable. This implies that the…

Formal Languages and Automata Theory · Computer Science 2012-06-06 Laurent Doyen , Thierry Massart , Mahsa Shirmohammadi

Given a text and a pattern over two types of symbols called constants and variables, the parameterized pattern matching problem is to find all occurrences of substrings of the text that the pattern matches by substituting a variable in the…

Data Structures and Algorithms · Computer Science 2017-05-29 Yuki Igarashi , Diptarama , Ryo Yoshinaka , Ayumi Shinohara

Despite strong performance on a variety of tasks, neural sequence models trained with maximum likelihood have been shown to exhibit issues such as length bias and degenerate repetition. We study the related issue of receiving…

Machine Learning · Computer Science 2020-10-06 Sean Welleck , Ilia Kulikov , Jaedeok Kim , Richard Yuanzhe Pang , Kyunghyun Cho

We consider variations on the following problem: given an NFA M and a pattern p, does there exist an x in L(M) such that p matches x? We consider the restricted problem where M only accepts a finite language. We also consider the variation…

Formal Languages and Automata Theory · Computer Science 2009-06-18 Narad Rampersad , Jeffrey Shallit

This paper presents a restricted form of linear indexed grammars, called even linear indexed grammars, which yield the even linear indexed languages. These languages properly contain the context-free languages and are contained in the set…

Formal Languages and Automata Theory · Computer Science 2014-08-26 Benjamin Caulfield

Transductions are binary relations of finite words. For rational transductions, i.e., transductions defined by finite transducers, the inclusion, equivalence and sequential uniformisation problems are known to be undecidable. In this paper,…

Formal Languages and Automata Theory · Computer Science 2016-03-01 Emmanuel Filiot , Ismaël Jecker , Christof Löding , Sarah Winter

Altenbernd, Thomas and W\"ohrle have considered acceptance of languages of infinite two-dimensional words (infinite pictures) by finite tiling systems, with usual acceptance conditions, such as the B\"uchi and Muller ones [1]. It was proved…

Computational Complexity · Computer Science 2009-08-04 Olivier Finkel

A software element defined in one place is typically used in many places. When it is changed, all its occurrences may need to be changed too, which can severely hinder software evolution. This has led to the support of encapsulation in…

Software Engineering · Computer Science 2013-12-11 Mikal Ziane , Mel Ó Cinnéide

In the literature two notions of the word problem for a variety occur. A variety has a decidable word problem if every finitely presented algebra in the variety has a decidable word problem. It has a uniformly decidable word problem if…

Logic · Mathematics 2016-09-06 Alan H. Mekler , Evelyn Nelson , Saharon Shelah

Sequence theories are an extension of theories of strings with an infinite alphabet of letters, together with a corresponding alphabet theory (e.g. linear integer arithmetic). Sequences are natural abstractions of extendable arrays, which…

Logic in Computer Science · Computer Science 2023-08-02 Artur Jeż , Anthony W. Lin , Oliver Markgraf , Philipp Rümmer

We study the complexity of constraint satisfaction problems involving global constraints, i.e., special-purpose constraints provided by a solver and represented implicitly by a parametrised algorithm. Such constraints are widely used;…

Artificial Intelligence · Computer Science 2013-07-11 David A. Cohen , Peter G. Jeavons , Evgenij Thorstensen , Stanislav Živný

The fixed template Promise Constraint Satisfaction Problem (PCSP) is a recently proposed significant generalization of the fixed template CSP, which includes approximation variants of satisfiability and graph coloring problems. All the…

Computational Complexity · Computer Science 2019-09-12 Libor Barto