Download Abstract State Machines - Theory and Applications: by Egon Börger (auth.), Yuri Gurevich, Philipp W. Kutter, PDF

By Egon Börger (auth.), Yuri Gurevich, Philipp W. Kutter, Martin Odersky, Lothar Thiele (eds.)

This ebook constitutes the completely refereed post-proceedings of the foreign Workshop on summary kingdom Machines, ASM 2000, held in Monte Verita, Switzerland in March 2000.
The 12 revised complete papers awarded have been rigorously reviewed and chosen from 30 submissions. additionally integrated are an introductory evaluate, stories on business ASM purposes, in addition to six contributions in line with invited talks. All in all, the quantity correctly offers the cutting-edge in examine and functions of summary country machines.

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Extra resources for Abstract State Machines - Theory and Applications: International Workshop, ASM 2000 Monte Verità , Switzerland, March 19–24, 2000 Proceedings

Example text

Tj ) := t0 , where f is a dynamic function name (of arity j) and t1 , . . , tj are terms. The semantics is obvious. From elementary update rules more complex rules can be built by conditionals and parallel composition. More specifically: – If g is a boolean term and R1 and R2 are rules, then so is if g then R1 else R2 endif, again with the obvious semantics. – If v is a variable, r is a term in which v does not occur free, and R0 is a rule in which v can occur free, then forall v ∈ r do R0 enddo is a rule in which v becomes bound.

Every dynamic function name has an associated arity r, and thus has, at any stage of the computation, an interpretation (which can be updated in later stages) as a function from (D ∪ HF(D))r to D ∪ HF(D). The extent of such a function f is the set {(¯ x, f (¯ x)) | x ¯ ∈ (D ∪ HF(D))r and f (¯ x) = ∅}. At any stage of the computation, the extent of the interpretation of any dynamic function will be finite. A number of static functions, which cannot be updated, are predefined: The relations of the input structure are given as boolean functions.

ValueToAssign) For all internal f : X → Z and X ∈ X predicate V al(f, X, t, v) is f alse for all t ∈ [ε, 0] and for all v of sort of values of f . This just described formula is connected by conjunction with the formula below describing a recursive step. This formula is a conjunction of 2 formulas – one corresponds to (Update) and the other to (Propagation). Notations: • Φ=df T m(f, X, T ). • Predicate t = M inT m(W ) means “t is the minimum of times that occur in arrowed expressions of W ”. (Update): The prefix f ∀ T ∀ T ∀ Γ ∀ ∆ ∀ X ∀ v is followed by implication from T AE(Γ ) ∧ T AE(∆) ∧ T = M inT m(Γ ) ∧ T = M inT m(∆) ∧ T < T ∧ Γ ∆ ∧ V al(f, X, T, v) to: Φ → f ◦+ (τ, X) = v ∧ ∀ τ ∈ [T, T ) ◦+ ∧ ¬ Φ → f (τ, X) = Lef tLimt→T f ◦+ (t, X) ∧ V al(f, X, T , v) ∀ τ ∈ (T, T ] f ◦ (τ, X) = f ◦+ (T, X) (Propagation): This formula starts with ∀ T ∀ t ∀ Γ ∀ ∆ ∀ U ∀ V and some other universal quantifiers of more technical nature (we do not mention them) and has as its scope an implication.

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