7,679 research outputs found
Automatic Equivalence Structures of Polynomial Growth
In this paper we study the class EqP of automatic equivalence structures of the form ?=(D, E) where the domain D is a regular language of polynomial growth and E is an equivalence relation on D. Our goal is to investigate the following two foundational problems (in the theory of automatic structures) aimed for the class EqP. The first is to find algebraic characterizations of structures from EqP, and the second is to investigate the isomorphism problem for the class EqP. We provide full solutions to these two problems. First, we produce a characterization of structures from EqP through multivariate polynomials. Second, we present two contrasting results. On the one hand, we prove that the isomorphism problem for structures from the class EqP is undecidable. On the other hand, we prove that the isomorphism problem is decidable for structures from EqP with domains of quadratic growth
Multiplicity Problems on Algebraic Series and Context-Free Grammars
In this paper we obtain complexity bounds for computational problems on
algebraic power series over several commuting variables. The power series are
specified by systems of polynomial equations: a formalism closely related to
weighted context-free grammars. We focus on three problems -- decide whether a
given algebraic series is identically zero, determine whether all but finitely
many coefficients are zero, and compute the coefficient of a specific monomial.
We relate these questions to well-known computational problems on arithmetic
circuits and thereby show that all three problems lie in the counting
hierarchy. Our main result improves the best known complexity bound on deciding
zeroness of an algebraic series. This problem is known to lie in PSPACE by
reduction to the decision problem for the existential fragment of the theory of
real closed fields. Here we show that the problem lies in the counting
hierarchy by reduction to the problem of computing the degree of a polynomial
given by an arithmetic circuit. As a corollary we obtain new complexity bounds
on multiplicity equivalence of context-free grammars restricted to a bounded
language, language inclusion of a nondeterministic finite automaton in an
unambiguous context-free grammar, and language inclusion of a non-deterministic
context-free grammar in an unambiguous finite automaton.Comment: full technical report of a LICS'23 pape
Multiple Context-Free Tree Grammars: Lexicalization and Characterization
Multiple (simple) context-free tree grammars are investigated, where "simple"
means "linear and nondeleting". Every multiple context-free tree grammar that
is finitely ambiguous can be lexicalized; i.e., it can be transformed into an
equivalent one (generating the same tree language) in which each rule of the
grammar contains a lexical symbol. Due to this transformation, the rank of the
nonterminals increases at most by 1, and the multiplicity (or fan-out) of the
grammar increases at most by the maximal rank of the lexical symbols; in
particular, the multiplicity does not increase when all lexical symbols have
rank 0. Multiple context-free tree grammars have the same tree generating power
as multi-component tree adjoining grammars (provided the latter can use a
root-marker). Moreover, every multi-component tree adjoining grammar that is
finitely ambiguous can be lexicalized. Multiple context-free tree grammars have
the same string generating power as multiple context-free (string) grammars and
polynomial time parsing algorithms. A tree language can be generated by a
multiple context-free tree grammar if and only if it is the image of a regular
tree language under a deterministic finite-copying macro tree transducer.
Multiple context-free tree grammars can be used as a synchronous translation
device.Comment: 78 pages, 13 figure
The Bag Semantics of Ontology-Based Data Access
Ontology-based data access (OBDA) is a popular approach for integrating and
querying multiple data sources by means of a shared ontology. The ontology is
linked to the sources using mappings, which assign views over the data to
ontology predicates. Motivated by the need for OBDA systems supporting
database-style aggregate queries, we propose a bag semantics for OBDA, where
duplicate tuples in the views defined by the mappings are retained, as is the
case in standard databases. We show that bag semantics makes conjunctive query
answering in OBDA coNP-hard in data complexity. To regain tractability, we
consider a rather general class of queries and show its rewritability to a
generalisation of the relational calculus to bags
Developing language strategies for international companies: the contribution of translation studies.
This article introduces translation studies in order to theorize about the ways in which multiple languages in international companies can be combined. Its purpose is to develop different language strategies based on different theoretical perspectives within translation studies. Considering the historical developments in this discipline, we identify three perspectives each with a different conception of translation and language use. These conceptions are the theoretical basis on which we develop three language strategies: a mechanical, cultural and political language strategy. For each strategy, we discuss the selection of language(s), the role of translators and the validation method, and formulate proposition about the types of texts being produced. These propositions indicate that, through their international communication process, international companies become scripted as a particular type of multilingual organization, be it a uniform, a culturally sensitive or a hybrid text.Strategy; International; Companies; Studies; Selection; Validation; Text; Communication; Processes;
Provenance for Aggregate Queries
We study in this paper provenance information for queries with aggregation.
Provenance information was studied in the context of various query languages
that do not allow for aggregation, and recent work has suggested to capture
provenance by annotating the different database tuples with elements of a
commutative semiring and propagating the annotations through query evaluation.
We show that aggregate queries pose novel challenges rendering this approach
inapplicable. Consequently, we propose a new approach, where we annotate with
provenance information not just tuples but also the individual values within
tuples, using provenance to describe the values computation. We realize this
approach in a concrete construction, first for "simple" queries where the
aggregation operator is the last one applied, and then for arbitrary (positive)
relational algebra queries with aggregation; the latter queries are shown to be
more challenging in this context. Finally, we use aggregation to encode queries
with difference, and study the semantics obtained for such queries on
provenance annotated databases
Mapping-equivalence and oid-equivalence of single-function object-creating conjunctive queries
Conjunctive database queries have been extended with a mechanism for object
creation to capture important applications such as data exchange, data
integration, and ontology-based data access. Object creation generates new
object identifiers in the result, that do not belong to the set of constants in
the source database. The new object identifiers can be also seen as Skolem
terms. Hence, object-creating conjunctive queries can also be regarded as
restricted second-order tuple-generating dependencies (SO tgds), considered in
the data exchange literature.
In this paper, we focus on the class of single-function object-creating
conjunctive queries, or sifo CQs for short. We give a new characterization for
oid-equivalence of sifo CQs that is simpler than the one given by Hull and
Yoshikawa and places the problem in the complexity class NP. Our
characterization is based on Cohen's equivalence notions for conjunctive
queries with multiplicities. We also solve the logical entailment problem for
sifo CQs, showing that also this problem belongs to NP. Results by Pichler et
al. have shown that logical equivalence for more general classes of SO tgds is
either undecidable or decidable with as yet unknown complexity upper bounds.Comment: This revised version has been accepted on 11 January 2016 for
publication in The VLDB Journa
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