779 research outputs found

    Characterizing Quantifier Extensions of Dependence Logic

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    We characterize the expressive power of extensions of Dependence Logic and Independence Logic by monotone generalized quantifiers in terms of quantifier extensions of existential second-order logic.Comment: 9 page

    On Independence Atoms and Keys

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    Uniqueness and independence are two fundamental properties of data. Their enforcement in database systems can lead to higher quality data, faster data service response time, better data-driven decision making and knowledge discovery from data. The applications can be effectively unlocked by providing efficient solutions to the underlying implication problems of keys and independence atoms. Indeed, for the sole class of keys and the sole class of independence atoms the associated finite and general implication problems coincide and enjoy simple axiomatizations. However, the situation changes drastically when keys and independence atoms are combined. We show that the finite and the general implication problems are already different for keys and unary independence atoms. Furthermore, we establish a finite axiomatization for the general implication problem, and show that the finite implication problem does not enjoy a k-ary axiomatization for any k

    Decidability of predicate logics with team semantics

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    We study the complexity of predicate logics based on team semantics. We show that the satisfiability problems of two-variable independence logic and inclusion logic are both NEXPTIME-complete. Furthermore, we show that the validity problem of two-variable dependence logic is undecidable, thereby solving an open problem from the team semantics literature. We also briefly analyse the complexity of the Bernays-Sch\"onfinkel-Ramsey prefix classes of dependence logic.Comment: Extended version of a MFCS 2016 article. Changes on the earlier arXiv version: title changed, added the result on validity of two-variable dependence logic, restructurin

    Definability of second order generalized quantifiers

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    A Gramscian perspective on developmental work research: Contradictions, power and the role of researchers reconsidered

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    The article presents a Gramscian reading of organisational interventions within the framework ofdevelopmental work research. Developmental work research is based on Engeström’s concepts ofactivity system and expansive learning cycle. It utilizes the theoretical vocabulary provided byMarx and Ilyenkov and is situated in the traditions of cultural-historical and critical research. Inrecent years, critical commentaries have pointed to a need to reconsider questions related totransformation, contradictions and power within the approach. The Gramscian reading heresuggests that the concepts of transformism, hegemony and dialectic pedagogy could open potentialways to reformulate certain elements of both the practice of organisational intervention and thetheoretical principles of developmental work research

    A Fragment of Dependence Logic Capturing Polynomial Time

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    In this paper we study the expressive power of Horn-formulae in dependence logic and show that they can express NP-complete problems. Therefore we define an even smaller fragment D-Horn* and show that over finite successor structures it captures the complexity class P of all sets decidable in polynomial time. Furthermore we study the question which of our results can ge generalized to the case of open formulae of D-Horn* and so-called downwards monotone polynomial time properties of teams

    Computational Aspects of Logics in Team Semantics (Tutorial)

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