Abstract
Building on recent interest in distributed logic programming, we take a model-theoretic approach to analyzing confluence of asynchronous distributed programs. We begin with a model-theoretic semantics for Dedalus and introduce the ultimate model, which captures non-deterministic eventual outcomes of distributed programs. After showing the question of confluence undecidable for Dedalus, we identify restricted sub-languages that guarantee confluence while providing adequate expressivity. We observe that the semipositive restriction Dedalus + guarantees confluence while capturing PTIME, but show that its restriction of negation makes certain simple and practical programs difficult to write. To remedy this, we introduce Dedalus S, a restriction of Dedalus that allows a kind of stratified negation, but retains the confluence of Dedalus + and similarly captures PTIME.
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Marczak, W.R., Alvaro, P., Conway, N., Hellerstein, J.M., Maier, D. (2012). Confluence Analysis for Distributed Programs: A Model-Theoretic Approach. In: Barceló, P., Pichler, R. (eds) Datalog in Academia and Industry. Datalog 2.0 2012. Lecture Notes in Computer Science, vol 7494. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-32925-8_14
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DOI: https://doi.org/10.1007/978-3-642-32925-8_14
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