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By Michel Léonard (auth.)

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Then {R 1... ~} forms a decomposition of R. •. ~} then every instance of R is contained in an instance called complete of R for D which verifies the jd (Rl ... ~). Integrity Rules 45 Proof All the instances of R verify jd, and in particular the closure of R: R decomposes according to D. Take iR to be an instance of R; iR[Rt1 is an instance of ~ because ~ =R[Rt]. n n * iR[~+] is an instance of R because R = * R[~+]. iR' = j=l j=l According to the base property iR~ iR'. iR' is a complete instance of R forD because it verifies the jd (R 1...

1 Keys to relations In the following chapter, we examine this aspect in more detail. keys to TECHNICIAN: NTEC, ACTNITY: NTEC NH, MACHINE: NMH, MACHINE-AVAIL: NMH NH, PRODUCT: NP, BATCH: NPNBATCH, R-M: NRM, PROVISION: NP NRM, COMPETENCE: NTEC NMH, UTILISATION: NP, TIME-TABLE: NH NTEC, NHNMH, NH NP NBATCH. NAMETEC cannot be a key to the relation TECHNICIAN: its domain is in fact declared as having type text. Two values of NAMTEC cannot be compared and therefore NAMTEC cannot belong to any key. 3 are intended to make the reader aware of the distance between the "real world" and that of the database obtained from the proposed model.

Predicate the raw material number (NRM) identifies the particular raw material. There is a corresponding stock quantity of raw material (QRM) for each raw material number. NRM raw material number positive integer word. QRM quantity of raw material positive numeric integer. PROVISION (NP NRM MMQ). Predicate: there corresponds to a product number (NP) and to a raw material number (NRM) the quantity (MMQ) of this raw material necessary for the manufacture of the minimum batch of this product (PROVISION).

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