(Schöning 38) Given is the following resolution graph where C₁,..., C7 are Horn clauses. Show that this tree can be made linear, such that the clause C7 can be obtained from C₁, C2, C3, C4 in the following way: Cis Cis C5 C2 C6 C7 C7 where {11, 12, 13, 14} = {1, 2,3,4} and C", C" are certain suitably chosen Horn clauses. Can you generalize this result?

Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
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Chapter1: Introduction
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(Schöning 38) Given is the following resolution graph where C₁,..., C7 are Horn clauses. Show that this
tree can be made linear, such that the clause C7 can be obtained from C₁, C2, C3, C4 in the following way:
Cis
Ci₁
Ciz
C₁
C5
C₂
C3
C6
C4
C7
where {11, 12, 13, 14} = {1,2,3,4} and C', C" are certain suitably chosen Horn clauses.
Can you generalize this result?
Transcribed Image Text:(Schöning 38) Given is the following resolution graph where C₁,..., C7 are Horn clauses. Show that this tree can be made linear, such that the clause C7 can be obtained from C₁, C2, C3, C4 in the following way: Cis Ci₁ Ciz C₁ C5 C₂ C3 C6 C4 C7 where {11, 12, 13, 14} = {1,2,3,4} and C', C" are certain suitably chosen Horn clauses. Can you generalize this result?
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