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Conjunctive Queries

Conjunctive Queries

Conjunctive Queries

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H<br />

Y<br />

Z<br />

U<br />

P<br />

V<br />

W<br />

Y<br />

Z<br />

rule 1<br />

U<br />

rule 2<br />

Y<br />

Z<br />

U<br />

rule 1<br />

0<br />

7<br />

9<br />

8<br />

6<br />

5<br />

0<br />

9<br />

6<br />

GYO-irreducible<br />

2 3 4<br />

H*= (ø,ø)<br />

GYO reduct<br />

rule 2<br />

1<br />

AternativeProcedure<br />

Definition: Anearedge(short: ear) ofahypergraph (V,E)isa<br />

hyperedge e Esuchthatoneofthefollowingconditionsholds:<br />

Hypergraph ofBCQs<br />

(1)Thereisawitnesse’ E,suchthate’ e andeach<br />

vertexfrome iseitheronlyine orine’,or<br />

(2)ehasnointersectionwithanyotherhyperedge.<br />

(C,D,E)is<br />

anear<br />

Ears<br />

Ears<br />

63<br />

64

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