Accession Number : ADA018431
Title : Spira's Theorems on Complete Linear Proofs of Systems of Linear Inequalities.
Descriptive Note : Technical rept.,
Corporate Author : WASHINGTON UNIV SEATTLE DEPT OF MATHEMATICS
Personal Author(s) : Klee,Victor
Report Date : SEP 1975
Pagination or Media Count : 22
Abstract : Motivated by questions of computational complexity, M. Rabin introduced the notion of a complete proof of a system of inequalities. The theorems of Rabin and P. Spira concerning that notion can all be interpreted as statements about partial coverings of convex polyhedra. Both papers are interesting and treat questions of fundamental importance for the study of computational complexity, but only Rabin's paper is correct in all respects. The present note contains counterexamples to some of Spira's results and establishes a correct version of one of them.
Descriptors : *Inequalities, Computations, Convex sets, Theorems, Linear systems
Subject Categories : Theoretical Mathematics
Distribution Statement : APPROVED FOR PUBLIC RELEASE