A Note on Logic Programming Fixed-Point Semantics


Sassone, V. (1993) A Note on Logic Programming Fixed-Point Semantics. In, 8th Meeting on Logic Programming, GULP '93. Mediterranean Press.

Download

[img] PDF
Download (230Kb)

Description/Abstract

In this paper, we present an account of classical Logic Programming fixed-point semantics in terms of two standard categorical constructions in which the least Herbrand model is characterized by properties of universality. In particular, we show that, given a program $P$, the category of models of $P$ is reflective in the category of interpretations for $P$. In addition, we show that the immediate consequence operator gives rise to an endofunctor ${T}_P$ on the category of Herbrand interpretations for $P$ such that category of algebras for ${T}_P$ is the category of Herbrand models of $P$. As consequences, we have that the least Herbrand model of $P$ is the least fixed-point of ${T}_P$ and is the reflection of the empty Herbrand interpretation.

Item Type: Conference or Workshop Item (Paper)
Keywords: logic programming, semantics of logic programming
Divisions: Faculty of Physical Sciences and Engineering > Electronics and Computer Science > Web & Internet Science
ePrint ID: 261945
Date Deposited: 12 Feb 2006
Last Modified: 27 Mar 2014 20:05
Further Information:Google Scholar
URI: http://eprints.soton.ac.uk/id/eprint/261945

Actions (login required)

View Item View Item

Downloads from ePrints over the past year. Other digital versions may also be available to download e.g. from the publisher's website.

View more statistics