Download Foundations of Information and Knowledge Systems: 5th by Egon Börger, Don Batory (auth.), Sven Hartmann, Gabriele PDF

By Egon Börger, Don Batory (auth.), Sven Hartmann, Gabriele Kern-Isberner (eds.)

An perfect textual content for researchers and execs alike, this booklet constitutes the refereed court cases of the fifth overseas Symposium on Foundations of knowledge and information platforms, FoIKS 2008 held in Pisa, Italy, in February 2008.

The thirteen revised complete papers provided including 9 revised brief papers and 3 invited lectures have been conscientiously chosen in the course of rounds of reviewing and development from seventy nine submissions.

The papers deal comprehensively with foundational facets of data and data structures, together with submissions from researchers operating in fields akin to discrete arithmetic, good judgment and algebra, version idea, info idea, and complexity theory.

They additionally function papers submitted through these operating in algorithmics and computation, geometry, research, facts and optimization.

All of the researchers the following percentage a standard trait: they're all attracted to using their rules, theories and techniques to analyze on info and data systems.

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Extra resources for Foundations of Information and Knowledge Systems: 5th International Symposium, FoIKS 2008, Pisa, Italy, February 11-15, 2008. Proceedings

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Theorem 11. Let P and Q be programs over U. Then, P and Q are uniformly equivalent iff ∀U∀U (P ∨ Q) → (ES P ↔ ES Q ) is valid. This encoding is very similar in shape to the one for strong equivalence in (5). In contrast to ES P and ES Q , ES P and ES Q , however, contain additional quantifiers, which are needed to keep the size of the encoding polynomial with respect to P and Q. In fact, all of the above QBFs are constructible in polynomial time from P and Q. To the best of our knowledge, they are novel and differ from the encodings proposed in previous work [18,19,20].

As we will see in the next section, this also allows for simplified encodings. 4 Characterizations for Program Equivalence In this section, we further exploit unfounded sets to characterize different notions of program equivalence. We start by comparing two programs, P and Q, regarding their unfounded sets for deriving conditions under which P and Q are ordinarily, strongly, and uniformly equivalent, respectively. Based on these conditions, we then provide novel encodings in standard and quantified propositional logic.

24–41, 2008. c Springer-Verlag Berlin Heidelberg 2008 Alternative Characterizations for Program Equivalence 25 An important concept in logic programming is Clark’s completion [5], which associates logic programs with theories of classical logic. While every answer set of a logic program P is also a model of the completion of P , the converse does not hold in general. As shown by Fages [6], a one-to-one correspondence is obtained if P satisfies certain syntactic restrictions. In recent years, a large body of work was devoted to extensions of Fages’ characterization in which the syntactic proviso is dropped at the expense of introducing additional formulas to Clark’s completion, referred to as loop formulas [7].

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