FO(FD): Extending classical logic with rule-based fixpoint definitions
Logic in Computer Science
2010-07-23 v1
Abstract
We introduce fixpoint definitions, a rule-based reformulation of fixpoint constructs. The logic FO(FD), an extension of classical logic with fixpoint definitions, is defined. We illustrate the relation between FO(FD) and FO(ID), which is developed as an integration of two knowledge representation paradigms. The satisfiability problem for FO(FD) is investigated by first reducing FO(FD) to difference logic and then using solvers for difference logic. These reductions are evaluated in the computation of models for FO(FD) theories representing fairness conditions and we provide potential applications of FO(FD).
Cite
@article{arxiv.1007.3819,
title = {FO(FD): Extending classical logic with rule-based fixpoint definitions},
author = {Hou Ping and Broes De Cat and Marc Denecker},
journal= {arXiv preprint arXiv:1007.3819},
year = {2010}
}
Comments
Presented at ICLP 2010. 16 pages, 1 figure