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The QRAT (quantified resolution asymmetric tautology) proof system simulates virtually all inference rules applied in state of the art quantified Boolean formula (QBF) reasoning tools. It consists of rules to rewrite a QBF by adding and…

Logic in Computer Science · Computer Science 2018-08-06 Florian Lonsing , Uwe Egly

Query auto completion (QAC) systems are a standard part of search engines in industry, helping users formulate their query. Such systems update their suggestions after the user types each character, predicting the user's intent using…

Computation and Language · Computer Science 2018-05-10 Nicolas Fiorini , Zhiyong Lu

We consider the following problem. Given a 2-CNF formula, is it possible to remove at most $k$ clauses so that the resulting 2-CNF formula is satisfiable? This problem is known to different research communities in Theoretical Computer…

Data Structures and Algorithms · Computer Science 2008-04-18 Igor Razgon , Barry O'Sullivan

The quantified Boolean formula (QBF) problem is an important decision problem generally viewed as the archetype for PSPACE-completeness. Many problems of central interest in AI are in general not included in NP, e.g., planning, model…

Computational Complexity · Computer Science 2024-05-13 Leif Eriksson , Victor Lagerkvist , George Osipov , Sebastian Ordyniak , Fahad Panolan , Mateusz Rychlicki

Slot Filling (SF) aims to extract the values of certain types of attributes (or slots, such as person:cities\_of\_residence) for a given entity from a large collection of source documents. In this paper we propose an effective DNN…

Computation and Language · Computer Science 2017-07-05 Lifu Huang , Avirup Sil , Heng Ji , Radu Florian

Earlier we introduced the notion of a stable set of points (SSP). We proved that a CNF formula is unsatisfiable iff there is a set of points (i.e. complete assignments) that is stable with respect to this formula. Experiments showed that…

Logic in Computer Science · Computer Science 2025-07-18 Eugene Goldberg

Automatic structures are first-order structures whose universe and relations can be represented as regular languages. It follows from the standard closure properties of regular languages that the first-order theory of an automatic structure…

Logic in Computer Science · Computer Science 2026-03-11 Christoph Haase , Radoslaw Piórkowski

Evolutionary algorithms (EAs), a large class of general purpose optimization algorithms inspired from the natural phenomena, are widely used in various industrial optimizations and often show excellent performance. This paper presents an…

Neural and Evolutionary Computing · Computer Science 2014-04-14 Yang Yu , Hong Qian

State-of-the-art knowledge compilers generate deterministic subsets of DNNF, which have been recently shown to be exponentially less succinct than DNNF. In this paper, we propose a new method to compile DNNFs without enforcing determinism…

Artificial Intelligence · Computer Science 2017-09-22 Umut Oztok , Adnan Darwiche

We provide a systematic description of the automorphism groups of specially cocompact CAT(0) cube complexes. We show that these groups are topologically finitely generated, present a method to explicitly obtain generating sets, and prove a…

Group Theory · Mathematics 2023-12-07 Tobias Hartnick , Merlin Incerti-Medici

In this paper, we present a new open source toolkit for automatic speech recognition (ASR), named CAT (CRF-based ASR Toolkit). A key feature of CAT is discriminative training in the framework of conditional random field (CRF), particularly…

Machine Learning · Computer Science 2019-11-21 Keyu An , Hongyu Xiang , Zhijian Ou

We present new results on realtime alternating, private alternating, and quantum alternating automaton models. Firstly, we show that the emptiness problem for alternating one-counter automata on unary alphabets is undecidable. Then, we…

Formal Languages and Automata Theory · Computer Science 2023-06-22 Gökalp Demirci , Mika Hirvensalo , Klaus Reinhardt , A. C. Cem Say , Abuzer Yakaryılmaz

Propositional satisfiability (SAT) is one of the most fundamental problems in computer science. The worst-case hardness of SAT lies at the core of computational complexity theory. The average-case analysis of SAT has triggered the…

Discrete Mathematics · Computer Science 2019-05-03 Tobias Friedrich , Anton Krohmer , Ralf Rothenberger , Thomas Sauerwald , Andrew M. Sutton

Limits on the number of satisfying assignments for CNS instances with n variables and m clauses are derived from various inequalities. Some bounds can be calculated in polynomial time, sharper bounds demand information about the…

Computational Complexity · Computer Science 2017-05-17 Bernd R. Schuh

Effective field theories (EFTs) require regularization and renormalization to gain predictive power. While regularization is inconsequential from the point of view of the observable predictions of EFT -- in a renormalized theory we expect…

Nuclear Theory · Physics 2022-03-30 Daniel Odell , Manuel Pavon Valderrama , Lucas Platter

Automated theorem provers (ATPs) can disprove conjectures by saturating a set of clauses, but the resulting saturated sets are opaque certificates. In the unit equational fragment, a saturated set can in fact be read as a convergent rewrite…

Logic in Computer Science · Computer Science 2026-02-19 Mikoláš Janota , Michael Rawson , Stephan Schulz

This paper presents a model of autonomy called autonomy with regard to an attribute applicable to cognitive and not cognitive artificial agents. Three criteria (global / partial, social / nonsocial, absolute / relative) are defined and used…

Multiagent Systems · Computer Science 2007-07-12 Eric Sanchis

We furnish solid evidence, both theoretical and empirical, towards the existence of a deterministic algorithm for random sparse $\#\Omega(\log n)$-SAT instances, which computes the exact counting of satisfying assignments in sub-exponential…

Computational Complexity · Computer Science 2020-11-10 Giorgio Camerani

Backtracking search is a powerful algorithmic paradigm that can be used to solve many problems. It is in a certain sense the dual of variable elimination; but on many problems, e.g., SAT, it is vastly superior to variable elimination in…

Artificial Intelligence · Computer Science 2012-12-12 Fahiem Bacchus , Shannon Dalmao , Toniann Pitassi

Normal forms allow the use of a restricted class of coordinate transformations (typically homogeneous polynomials) to put the bifurcations found in nonlinear dynamical systems into a few standard forms. We investigate here the consequences…

chao-dyn · Physics 2009-10-28 W. H. Warner , P. R. Sethna , James P. Sethna
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