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38. Let
),whereR s is a source schema consisting of a binary predicate U ,
R t is a target schema consisting of a binary predicate V and
M
=(R s , R t ,
Σ
Σ
=
{∀
x
y
z ( U ( x , z )
is closed under target homomorphisms, admits universal so-
lutions and reflects source homomorphisms.
39. (Source: ten Cate and Kolaitis ( 2009 ))
Complete the proof of Theorem 21.5 .
40. (Source: ten Cate and Kolaitis ( 2009 ))
Let M be the mapping defined in Example 21.8 . Prove that M is closed under target
homomorphisms, admits universal solutions, reflects source homomorphisms and is
closed under target intersection.
41. (Source: ten Cate and Kolaitis ( 2009 ))
Prove Lemma 21.9 .
V ( y , z ))
}
. Prove that
M
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