Today, the main applications of OBDA SQL) defines a broad collection of languages. Keyvalue can be found in data integration as well as in querying the stores are NOSQL systems adopting the data model of Semantic Web. The interest of OBDA is to allow the users to key-value records (also called JSON records). These records ask queries on high-level ontology vocabularies and to delegate are processed on distributed systems, but also increasingly to algorithms (1) the reformulation of these high-level exchanged on the Web thereby replacing semistructured queries into a set of low-level databases queries, (2) the efficient XML data and many RDF formats (see JSON-LD (Sporny computation of their answers by native data management et al. 2004)). Key-value records are non-first normal forms systems in which data is stored and indexed, and (3) where values are not only atomic (in contrast with relational the combination of these answers in order to obtain the final databases) and nesting is possible (Abiteboul, Hull, answers to the users' query. The advantage of OBDA is and Vianu 1995).

One of the better studied properties for operators in judgment aggregation is independence, which essentially dictates that the collective judgment on one issue should not depend on the individual judgments given on some other issue(s) in the same agenda. Independence, although considered a desirable property, is too strong, because together with mild additional conditions it implies dictatorship. We propose here a weakening of independence, named agenda separability: a judgment aggregation rule satisfies it if, whenever the agenda is composed of several independent sub-agendas, the resulting collective judgment sets can be computed separately for each sub-agenda and then put together. We show that this property is discriminant, in the sense that among judgment aggregation rules so far studied in the literature, some satisfy it and some do not. We briefly discuss the implications of agenda separability on the computation of judgment aggregation rules.

We investigate the problem of learning description logic (DL) ontologies in Angluin et al.’s framework of exact learning via queries posed to an oracle. We consider membership queries of the form “is a tuple a of individuals a certain answer to a data retrieval query q in a given ABox and the unknown target ontology?” and completeness queries of the form “does a hypothesis ontology entail the unknown target ontology?” Given a DL L and a data retrieval query language Q, we study polynomial learnability of ontologies in L using data retrieval queries in Q and provide an almost complete classification for DLs that are fragments of EL with role inclusions and of DL-Lite and for data retrieval queries that range from atomic queries and EL/ELI-instance queries to conjunctive queries. Some results are proved by non-trivial reductions to learning from subsumption examples.

Similar to the satisfiability (SAT) problem, which can be seen to be the archetypical problem for NP, the quantified Boolean formula problem (QBF) is the archetypical problem for PSPACE. Recently, Atserias and Oliva (2014) showed that, unlike for SAT, many of the well-known decompositional parameters (such as treewidth and pathwidth) do not allow efficient algorithms for QBF. The main reason for this seems to be the lack of awareness of these parameters towards the dependencies between variables of a QBF formula. In this paper we extend the ordinary pathwidth to the QBF-setting by introducing prefix pathwidth, which takes into account the dependencies between variables in a QBF, and show that it leads to an efficient algorithm for QBF. We hope that our approach will help to initiate the study of novel tailor-made decompositional parameters for QBF and thereby help to lift the success of these decompositional parameters from SAT to QBF.

Qualitative spatio-temporal reasoning is an active research area in Artificial Intelligence. In many situations there is a need to reason about intertemporal qualitative spatial relations, i.e. qualitative relations between spatial regions at different time-points. However, these relations can never be explicitly observed since they are between regions at different time-points. In applications where the qualitative spatial relations are partly acquired by for example a robotic system it is therefore necessary to infer these relations. This problem has, to the best of our knowledge, not been explicitly studied before. The contribution presented in this paper is two-fold. First, we present a spatio-temporal logic MSTL, which allows for spatio-temporal stream reasoning. Second, we define the concept of a landmark as a region that does not change between time-points and use these landmarks to infer qualitative spatio-temporal relations between non-landmark regions at different time-points. The qualitative spatial reasoning is done in RCC-8, but the approach is general and can be applied to any similar qualitative spatial formalism.

Most description logics (DL) query languages allow instance retrieval from an ABox. However, SPARQL is a schema query language allowing access to the TBox (in addition to the ABox). Moreover, its entailment regimes enable to take into account knowledge inferred from knowledge bases in the query answering process. This provides a new perspective for the containment problem. In this paper, we study the containment of SPARQL queries over OWL EL axioms under entailment. OWL EL is the language used by many large scale ontologies and is based on EL ++ . The main contribution is a novel approach to rewriting queries using SPARQL property paths and the μ-calculus in order to reduce containment test under entailment into validity check in the μ-calculus.

The choice of the target data structure involves an unavoidable tradeoff between succinctness and where the variable x is not in the variable set Y. tractability. Indeed, SDDs properly contain OBDDs, and hence are Darwiche and Marquis (2002) systematically investigated at least as succinct as OBDDs, while preserving tractability this tradeoff in the fundamental case where the knowledge of all key tasks that are tractable on OBDDs. For this bases are boolean functions and the data structures are classes reason, they have been used in a variety of applications of boolean circuits (representation languages). in artificial intelligence and probabilistic reasoning, as reported, In their setting, decomposable negation normal forms for instance, by (Van den Broek and Darwiche 2015; (DNNFs) and ordered binary decision diagrams (OBDDs) Oztok and Darwiche 2015).

The problem The need to equip reasoning systems with explanation services of querying such KBs using database-style queries (in is widely acknowledged by the DL community (see particular, conjunctive queries) has been a major focus of Section 6 for discussion and references), and such facilities recent DL research. Since scalability is a key concern, much are all the more essential when using inconsistency-tolerant of the work has focused on lightweight DLs for which query semantics, as recently argued in (Arioua et al. 2014). Indeed, answering can be performed in polynomial time w.r.t. the the brave, AR, and IAR semantics allow one to classify size of the ABox. The DL-Lite family of lightweight DLs query answers into three categories of increasing reliability, (Calvanese et al. 2007) is especially popular due to the fact and a user may naturally wonder why a given tuple was assigned that query answering can be reduced, via query rewriting, to to, or excluded from, one of these categories.

Only knowing captures the intuitive notion that the beliefs of an agent are precisely those that follow from its knowledge base. It has previously been shown to be useful in characterizing knowledge-based reasoners, especially in a quantified setting. While this allows us to reason about incomplete knowledge in the sense of not knowing whether a formula is true or not, there are many applications where one would like to reason about the degree of belief in a formula. In this work, we propose a new general first-order account of probability and only knowing that admits knowledge bases with incomplete and probabilistic specifications. Beliefs and non-beliefs are then shown to emerge as a direct logical consequence of the sentences of the knowledge base at a corresponding level of specificity.

This paper is aimed as a contribution to the use of formal modal languages in Artificial Intelligence. We introduce a multi-modal version of Second-order Propositional Modal Logic (SOPML), an extension of modal logic with propositional quantification, and illustrate its usefulness as a specification language for knowledge representation as well as temporal and spatial reasoning. Then, we define novel notions of (bi)simulation and prove that these preserve the interpretation of SOPML formulas. Finally, we apply these results to assess the expressive power of SOPML.