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Top-down and Bottom-up Evaluation Procedurally Integrated

Published online by Cambridge University Press:  10 August 2018

DAVID S. WARREN
DAVID S. WARREN*
Affiliation:
Stony Brook University, Stony Brook, NY, 11794-4400USA (e-mail: warren@cs.stonybrook.edu) XSB Inc., Setauket, NY, 11733USA (e-mail: warren@xsb.com)
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Abstract

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This paper describes how the Logic Programming System XSB combines top-down and bottom-up computation through the mechanisms of variant tabling and subsumptive tabling with abstraction, respectively.

It is well known that top-down evaluation of logical rules in Prolog has a procedural interpretation as recursive procedure invocation (Kowalski 1986). Tabling adds the intuition of short-circuiting redundant computations (Warren 1992). This paper shows how to introduce into tabled logic program evaluation a bottom-up component, whose procedural intuition is the initialization of a data structure, in which a relation is initially computed and filled, on first demand, and then used throughout the remainder of a larger computation for efficient lookup. This allows many Prolog programs to be expressed fully declaratively, programs which formerly required procedural features, such as assert, to be made efficient.

Keywords

top-downbottom-uplogic programmingtablingPrologprocedural interpretation
Type
Original Article
Information
Theory and Practice of Logic Programming , Volume 18 , Special Issue 3-4: 34th International Conference on Logic Programming , July 2018 , pp. 706 - 721
Copyright
Copyright © Cambridge University Press 2018 

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