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DOI: 10.4230/LIPIcs.ICLP.2012.425
A Flexible Solver for Finite Arithmetic Circuits

Authors: Nathaniel Wesley Filardo and Jason Eisner

Published in: LIPIcs, Volume 17, Technical Communications of the 28th International Conference on Logic Programming (ICLP'12) (2012)

Abstract
Arithmetic circuits arise in the context of weighted logic programming languages, such as Datalog with aggregation, or Dyna. A weighted logic program defines a generalized arithmetic circuit—the weighted version of a proof forest, with nodes having arbitrary rather than boolean values. In this paper, we focus on finite circuits. We present a flexible algorithm for efficiently querying node values as they change under updates to the circuit's inputs. Unlike traditional algorithms, ours is agnostic about which nodes are tabled (materialized), and can vary smoothly between the traditional strategies of forward and backward chaining. Our algorithm is designed to admit future generalizations, including cyclic and infinite circuits and propagation of delta updates.
Cite as

Nathaniel Wesley Filardo and Jason Eisner. A Flexible Solver for Finite Arithmetic Circuits. In Technical Communications of the 28th International Conference on Logic Programming (ICLP'12). Leibniz International Proceedings in Informatics (LIPIcs), Volume 17, pp. 425-438, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2012)

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@InProceedings{filardo_et_al:LIPIcs.ICLP.2012.425,
  author =	{Filardo, Nathaniel Wesley and Eisner, Jason},
  title =	{{A Flexible Solver for Finite Arithmetic Circuits}},
  booktitle =	{Technical Communications of the 28th International Conference on Logic Programming (ICLP'12)},
  pages =	{425--438},
  series =	{Leibniz International Proceedings in Informatics (LIPIcs)},
  ISBN =	{978-3-939897-43-9},
  ISSN =	{1868-8969},
  year =	{2012},
  volume =	{17},
  editor =	{Dovier, Agostino and Santos Costa, V{\'\i}tor},
  publisher =	{Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{https://drops-dev.dagstuhl.de/entities/document/10.4230/LIPIcs.ICLP.2012.425},
  URN =		{urn:nbn:de:0030-drops-36420},
  doi =		{10.4230/LIPIcs.ICLP.2012.425},
  annote =	{Keywords: arithmetic circuits, memoization, view maintenance, logic programming}
}
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