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We show that the finite satisfiability problem for the unary negation fragment with arbitrary number of transitive relations is decidable and 2-ExpTime-complete. Our result actually holds for a more general setting in which one can require…

Logic in Computer Science · Computer Science 2019-07-01 Daniel Danielski , Emanuel Kieronski

We study alternating good-for-games (GFG) automata, i.e., alternating automata where both conjunctive and disjunctive choices can be resolved in an online manner, without knowledge of the suffix of the input word still to be read. We show…

Formal Languages and Automata Theory · Computer Science 2020-02-19 Udi Boker , Denis Kuperberg , Karoliina Lehtinen , Michał Skrzypczak

We give characterizations of unital uniform topological algebras and saturated locally multiplicatively convex algebras by means of multiplicative linear functionals. Some automatic continuity theorems in advertibly complete uniform…

Functional Analysis · Mathematics 2014-01-03 M. El Azhari

A non-deterministic recursion scheme recognizes a language of finite trees. This very expressive model can simulate, among others, higher-order pushdown automata with collapse. We show decidability of the diagonal problem for schemes. This…

Formal Languages and Automata Theory · Computer Science 2016-05-03 Lorenzo Clemente , Paweł Parys , Sylvain Salvati , Igor Walukiewicz

Subzero automata is a class of tree automata whose acceptance condition can express probabilistic constraints. Our main result is that the problem of determining if a subzero automaton accepts some regular tree is decidable.

Formal Languages and Automata Theory · Computer Science 2016-08-12 Henryk Michalewski , Matteo Mio , Mikołaj Bojańczyk

Machine learning researchers and practitioners steadily enlarge the multitude of successful learning models. They achieve this through in-depth theoretical analyses and experiential heuristics. However, there is no known general-purpose…

Computational Complexity · Computer Science 2023-10-18 Matthias C. Caro

Since for the classification of finite (congruence-)simple semirings it remains to classify the additively idempotent semirings, we progress on the characterization of finite simple additively idempotent semirings as semirings of…

Rings and Algebras · Mathematics 2013-01-01 Andreas Kendziorra , Jens Zumbrägel

Given two weighted automata, we consider the problem of whether one is big-O of the other, i.e., if the weight of every finite word in the first is not greater than some constant multiple of the weight in the second. We show that the…

Formal Languages and Automata Theory · Computer Science 2023-06-22 Dmitry Chistikov , Stefan Kiefer , Andrzej S. Murawski , David Purser

We consider systems composed of an unbounded number of uniformly designed linear hybrid automata, whose dynamic behavior is determined by their relation to neighboring systems. We present a class of such systems and a class of safety…

Logic in Computer Science · Computer Science 2016-01-08 Werner Damm , Matthias Horbach , Viorica Sofronie-Stokkermans

We introduce a measure called width, quantifying the amount of nondeterminism in automata. Width generalises the notion of good-for-games (GFG) automata, that correspond to NFAs of width 1, and where an accepting run can be built on-the-fly…

Formal Languages and Automata Theory · Computer Science 2023-06-22 Denis Kuperberg , Anirban Majumdar

By operations on models we show how to relate completeness with respect to permissive-nominal models to completeness with respect to nominal models with finite support. Models with finite support are a special case of permissive-nominal…

Logic in Computer Science · Computer Science 2013-05-28 Murdoch J. Gabbay

First, we show that universality and other properties of general jumping finite automata are undecidable, which answers a question asked by Meduna and Zemek in 2012. Second, we close the study raised by \v{C}erno and Mr\'{a}z in 2010 by…

Formal Languages and Automata Theory · Computer Science 2015-11-30 Vojtěch Vorel

We study a sequential decision-making model where a set of items is repeatedly matched to the same set of agents over multiple rounds. The objective is to determine a sequence of matchings that either maximizes the utility of the least…

Computer Science and Game Theory · Computer Science 2025-10-07 Eugene Lim , Tzeh Yuan Neoh , Nicholas Teh

The predicate complementary to the well-known Godel's provability predicate is defined. From its recursiveness new consequences concerning the incompleteness argumentation are drawn and extended to new results of consistency, completeness…

General Mathematics · Mathematics 2007-05-23 Paola Cattabriga

We present a novel technique to remove spurious ambiguity from transition systems for dependency parsing. Our technique chooses a canonical sequence of transition operations (computation) for a given dependency tree. Our technique can be…

Computation and Language · Computer Science 2012-06-29 Shay B. Cohen , Carlos Gómez-Rodríguez , Giorgio Satta

Parametric timed automata extend the standard timed automata with the possibility to use parameters in the clock guards. In general, if the parameters are real-valued, the problem of language emptiness of such automata is undecidable even…

Formal Languages and Automata Theory · Computer Science 2016-08-08 Nikola Beneš , Peter Bezděk , Kim G. Larsen , Jiří Srba

We study alternating automata with qualitative semantics over infinite binary trees: alternation means that two opposing players construct a decoration of the input tree called a run, and the qualitative semantics says that a run of the…

We classify essential algebras whose irredundant non-refinable covers consist of primal algebras. The proof is obtained by constructing one to one correspondence between such algebras and partial orders on finite sets. Further, we prove…

Logic · Mathematics 2014-06-26 Shohei Izawa

Ambiguity is a natural language phenomenon occurring at different levels of syntax, semantics, and pragmatics. It is widely studied; in Psycholinguistics, for instance, we have a variety of competing studies for the human disambiguation…

Computation and Language · Computer Science 2023-11-16 Daphne Wang , Mehrnoosh Sadrzadeh

We are concerned with dependency-oriented morphosyntactic parsing of running text. While a parsing grammar should avoid introducing structurally unresolvable distinctions in order to optimise on the accuracy of the parser, it also is…

cmp-lg · Computer Science 2008-02-03 Atro Voutilainen , Pasi Tapanainen
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