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We introduce the framework of the left-hand side restricted promise constraint satisfaction problem, which includes problems like approximating clique number of a graph. We study the parameterized complexity of problems in this class and…

Computational Complexity · Computer Science 2024-02-20 Kristina Asimi , Libor Barto , Victor Dalmau

We develop a new theory of strong subalgebras and linear congruences that are defined globally. Using this theory we provide a new proof of the correctness of Zhuk's algorithm for all tractable CSPs on a finite domain, and therefore a new…

Computational Complexity · Computer Science 2024-10-22 Dmitriy Zhuk

In this paper we study the complexity of counting Constraint Satisfaction Problems (CSPs) of the form #CSP($\mathcal{C}$,-), in which the goal is, given a relational structure $\mathbf{A}$ from a class $\mathcal{C}$ of structures and an…

Computational Complexity · Computer Science 2020-05-15 Andrei A. Bulatov , Stanislav Zivny

Concurrent Constraint Programming (CCP) is a simple and powerful model for concurrency where agents interact by telling and asking constraints. Since their inception, CCP-languages have been designed for having a strong connection to logic.…

Logic in Computer Science · Computer Science 2020-02-19 Elaine Pimentel , Carlos Olarte , Vivek Nigam

The constraint satisfaction problem, parameterized by a relational structure, provides a general framework for expressing computational decision problems. Already the restriction to the class of all finite structures forms an interesting…

Logic in Computer Science · Computer Science 2024-02-15 Jakub Rydval , Žaneta Semanišinová , Michał Wrona

We study the enumeration complexity of Unions of Conjunctive Queries(UCQs). We aim to identify the UCQs that are tractable in the sense that the answer tuples can be enumerated with a linear preprocessing phase and a constant delay between…

Databases · Computer Science 2021-05-07 Nofar Carmeli , Markus Kröll

We consider the Whitney problem for valuations: does a smooth $j$-homogeneous translation-invariant valuation on $\mathbb R^n$ exist that has given restrictions to a fixed family $S$ of linear subspaces? A necessary condition is…

Differential Geometry · Mathematics 2025-02-12 Dmitry Faifman , Georg C. Hofstätter

Finite chase, or alternatively chase termination, is an important condition to ensure the decidability of existential rule languages. In the past few years, a number of rule languages with finite chase have been studied. In this work, we…

Artificial Intelligence · Computer Science 2015-01-12 Heng Zhang , Yan Zhang , Jia-Huai You

We introduce a flexible class of well-quasi-orderings (WQOs) on words that generalizes the ordering of (not necessarily contiguous) subwords. Each such WQO induces a class of piecewise testable languages (PTLs) as Boolean combinations of…

Formal Languages and Automata Theory · Computer Science 2018-02-22 Georg Zetzsche

Large language models have recently achieved state of the art performance across a wide variety of natural language tasks. Meanwhile, the size of these models and their latency have significantly increased, which makes their usage costly,…

Computation and Language · Computer Science 2021-03-30 Ziheng Wang , Jeremy Wohlwend , Tao Lei

A group is combable if it can be represented by a language of words satisfying a fellow traveller property; an automatic group has a synchronous combing which is a regular language. This paper gives a systematic analysis of the properties…

Group Theory · Mathematics 2009-09-25 Sarah Rees

In our companion paper \cite{Stojnicclupint19} we introduced a powerful mechanism that we referred to as the Controlled Loosening-up (CLuP) for handling MIMO ML-detection problems. It turned out that the algorithm has many remarkable…

Information Theory · Computer Science 2019-09-05 Mihailo Stojnic

Despite advances in dependency parsing, languages with small treebanks still present challenges. We assess recent approaches to multilingual contextual word representations (CWRs), and compare them for crosslingual transfer from a language…

Computation and Language · Computer Science 2019-09-20 Phoebe Mulcaire , Jungo Kasai , Noah A. Smith

We study a simple but useful test for neural exchange-correlation (XC) functionals: can a neural model reproduce an established XC functional when it is used self-consistently? We call this test functional cloning. The model is trained at…

Function clones are sets of functions on a fixed domain that are closed under composition and contain the projections. They carry a natural algebraic structure, provided by the laws of composition which hold in them, as well as a natural…

Logic · Mathematics 2016-05-17 Manuel Bodirsky , Michael Pinsker , András Pongrácz

Fragment-based shape signature techniques have proven to be powerful tools for computer-aided drug design. They allow scientists to search for target molecules with some similarity to a known active compound. They do not require reference…

Artificial Intelligence · Computer Science 2022-01-05 Thierry Petit , Randy J. Zauhar

We study the membership problem to context-free languages L (CFLs) on probabilistic words, that specify for each position a probability distribution on the letters (assuming independence across positions). Our task is to compute, given a…

Formal Languages and Automata Theory · Computer Science 2025-10-10 Antoine Amarilli , Mikaël Monet , Paul Raphaël , Sylvain Salvati

Preserving a speaker's voice identity while generating speech in a different language remains a fundamental challenge in spoken language technology, particularly in specialized domains such as scientific communication. In this paper, we…

Audio and Speech Processing · Electrical Eng. & Systems 2026-04-30 Amanuel Gizachew Abebe , Yasmin Moslem

We investigate the equational theory of Kleene algebra terms with variable complements -- (language) complement where it applies only to variables -- w.r.t. languages. While the equational theory w.r.t. languages coincides with the language…

Logic in Computer Science · Computer Science 2023-09-07 Yoshiki Nakamura , Ryoma Sin'ya

We prove a complexity dichotomy theorem for a class of Holant problems on planar 3-regular bipartite graphs. The complexity dichotomy states that for every weighted constraint function $f$ defining the problem (the weights can even be…

Computational Complexity · Computer Science 2023-03-30 Jin-Yi Cai , Austen Z. Fan