NDLI: The satisfiability problem in multiple-valued Horn formulae

Content Provider	IEEE Xplore Digital Library
Author	Escalada-Imaz, G. Manya, F.
Copyright Year	1994
Description	Author affiliation: Artificial Intelligence Res. Inst., CSIC, Blanes, Spain (Escalada-Imaz, G.)
Abstract	Testing the satisfiability of propositional Horn formulae is an important problem within artificial intelligence due to its repercussions in rule-based systems. This problem has been widely studied and its linearity has been proved for the classical case. However, nothing has been published to solve the satisfiability of multiple-valued Horn formulae, although it is closely related to deduction in expert systems frameworks (where a certainty degree is attached to each fact and rule). In this paper, we propose several new results. First, we present a calculus for multiple-valued Horn clauses and claim its soundness and completeness. Second, we offer a detailed description of an almost linear algorithm for testing the satisfiability of multiple-valued Horn formulae. Finally, the minimal model, the minimal inconsistent interpretation and the maximal set of consistent clauses are defined and furnished by another algorithm which is almost linear too. This information is particularly helpful when validating a rule-based system with a knowledge base formed by a set of multiple-valued clauses.
Starting Page	250
Ending Page	256
File Size	742005
Page Count	7
File Format	PDF
ISBN	0818656506
DOI	10.1109/ISMVL.1994.302194
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	1994-05-25
Access Restriction	Subscribed
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Expert systems Calculus Linearity Knowledge based systems Algorithm design and analysis Artificial intelligence Automatic testing Logic testing System testing Deductive databases
Content Type	Text
Resource Type	Article

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