Geodesic
On hardly linearly provable systems
Applications of Mathematics, Tome 29 (1984) no. 4, pp. 286-293.

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A well-known theorem of Rabin yields a dimensional lower bound on the width of complete polynomial proofs of a system of linear algebraic inequalities. In this note we investigate a practically motivated class of systems where the same lower bound can be obtained on the width of almost all (noncomplete) linear proofs. The proof of our result is based on the Helly Theorem.
DOI : 10.21136/AM.1984.104096
Classification : 15A39, 68Q25, 90C05
Keywords: lower bound; linear proofs; Helly Theorem 
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Morávek, Jaroslav. On hardly linearly provable systems. Applications of Mathematics, Tome 29 (1984) no. 4, pp. 286-293. doi : 10.21136/AM.1984.104096. http://geodesic.mathdoc.fr/articles/10.21136/AM.1984.104096/

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