The University of Southampton
University of Southampton Institutional Repository

A Note on Logic Programming Fixed-Point Semantics

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

Record type: Conference or Workshop Item (Paper)


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.

PDF endoGulpFin.pdf - Other
Download (236kB)

More information

Published date: 1993
Venue - Dates: 8th Meeting on Logic Programming, GULP '93., 1993-01-01
Keywords: logic programming, semantics of logic programming
Organisations: Web & Internet Science


Local EPrints ID: 261945
PURE UUID: 5d33a74c-23f9-448d-a166-02e6f490d809

Catalogue record

Date deposited: 12 Feb 2006
Last modified: 18 Jul 2017 08:56

Export record


Author: V. Sassone

University divisions

Download statistics

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

Atom RSS 1.0 RSS 2.0

Contact ePrints Soton:

ePrints Soton supports OAI 2.0 with a base URL of

This repository has been built using EPrints software, developed at the University of Southampton, but available to everyone to use.

We use cookies to ensure that we give you the best experience on our website. If you continue without changing your settings, we will assume that you are happy to receive cookies on the University of Southampton website.