By ASCANDER SUAREZ; G COUSINEAU

LES LANGAGES DE PROGRAMMATION FONCTIONNELS ONT RECU A los angeles FOIS L'HERITAGE INFORMATIQUE DES LANGAGES DE PROGRAMMATION ET L'HERITAGE DE los angeles LOGIQUE MATHEMATIQUE. LE LANGAGE ML, QUI EST L'OBJET DE CE TRAVAIL EST UN LANGAGE FONCTIONNEL AVEC UNE SYNTAXE TRES PROCHE DE CELLE DU LANGAGE MATHEMATIQUE ET POSSEDE UN SYSTEME DE kinds TRES EVOLUE. CE TRAVAIL PRESENTE LES ALGORITHMES DE TYPAGE ET COMPILATION UTILISES DANS L'IMPLEMENTATION DU LANGAGE CAML. SE PRESENTENT DES EXTENSIONS AU SYSTEME DE kinds DE ML, DES ALGORITHMES DE COMPILATION BASES SUR los angeles desktop ABSTRAITE CATEGORIQUE CAM ET DES ALGORITHMES DE COMPILATION DE L'APPEL PAR FILTRAGE CONDUISANT A L'OBTENTION DE CODE desktop optimum POUR CETTE constitution DE CONTROLE DU LANGAGE. learn more...

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Let (Σ, σ) = σ0 , σ1 , . . be a chasing sequence of σ over Σ. Due to the possibility of applying egd’s, a chasing sequence may not be monotone with respect to ⊆. Hence, depending on whether σ is a tgd or an egd, we define – egd: chase(Σ, σ) := (T 1 , x = y), – tgd: chase(Σ, σ) := (T 1 , T 2 ), where T i := {u : ∃m∀n ≥ m(u ∈ pri (σn ))} and x = y is pr2 (σn ) for n ∈ N such that pr2 (σn ) = pr2 (σm ) for all m ≥ n. Note that “newer” values introduced by the tgd rule are always greater than the “older” ones, and values may only be replaced with smaller ones.

For every strategy σ there exists a knowledge-based strategy τ such that for every v ∈ Val (ϕ0 ) we have that #λτv ≤ #λσv . In the proof of Theorem 5, we show that the only reason why σ might not be knowledge-based is that σ schedules completely useless experiments which can be safely omitted. Thus, we transform σ into τ . Since the codebreaker may safely determine the next experiment just by considering the currently accumulated knowledge, we can imagine that he somehow “ranks” the outcomes of available experiments and then chooses the most promising one.

The complete axiomatization of algebraic dependencies presented in [15] involves also an extension schema that introduces new copies of attributes. 2 Preliminaries For two sets A and B, we write AB to denote their union, and for two sequences ab, we write ab to denote their concatenation. For a sequence a = (a1 , . . , an ) and a mapping f , we write f (a) for (f (a1 ), . . , f (an )). We denote by id the identity function and by pri the function that maps a sequence to its ith projection. For a function f and A ⊆ Dom(f ), we write f |A for the restriction of f to A, and for a set of mappings F , we write F |A for {f |A : f ∈ F }.

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