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Author Overbeek, Ross A.
Source ACM Digital Library
Content type Text
Publisher Association for Computing Machinery (ACM)
File Format PDF
Copyright Year ©1974
Language English
Subject Domain (in DDC) Computer science, information & general works ♦ Data processing & computer science
Abstract A procedure is defined for deriving from any statement $\textit{S}$ an infinite sequence of statements $\textit{S}0,$ $\textit{S}1,$ $\textit{S}2,$ $\textit{S}3,$ ··· such that: (a) if there exists an $\textit{i}$ such that $\textit{Si}$ is unsatisfiable, then $\textit{S}$ is unsatisfiable; (b) if $\textit{S}$ is unsatisfiable, then there exists an $\textit{i}$ such that $\textit{Si}$ is unsatisfiable; (c) for all $\textit{i}$ the Herbrand universe of $\textit{Si}$ is finite; hence, for each $\textit{i}$ the satisfiability of $\textit{Si}$ is decidable. The new algorithms are then based on the idea of generating successive $\textit{Si}$ in the sequence and testing each $\textit{Si}$ for satisfiability. Each element in the class of new algorithms is complete.
ISSN 00045411
Age Range 18 to 22 years ♦ above 22 year
Educational Use Research
Education Level UG and PG
Learning Resource Type Article
Publisher Date 1974-04-01
Publisher Place New York
e-ISSN 1557735X
Journal Journal of the ACM (JACM)
Volume Number 21
Issue Number 2
Page Count 10
Starting Page 191
Ending Page 200

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Source: ACM Digital Library