FSTTCS 2007: Foundations of Software Technology and by Maurice Herlihy (auth.), V. Arvind, Sanjiva Prasad (eds.)

By Maurice Herlihy (auth.), V. Arvind, Sanjiva Prasad (eds.)

This e-book constitutes the refereed court cases of the twenty seventh overseas convention at the Foundations of software program know-how and Theoretical computing device technological know-how, FSTTCS 2007, held in New Delhi, India, in December 2007.

The forty revised complete papers awarded including 5 invited papers have been rigorously reviewed and chosen from one hundred thirty five submissions. The papers supply unique examine leads to primary features of computing device technology in addition to stories from the frontline of software program know-how and theoretical machine technology.

A huge number of present issues from the speculation of computing are addressed, starting from software program technological know-how, programming idea, platforms layout and research, formal tools, mathematical good judgment, mathematical foundations, discrete arithmetic, combinatorial arithmetic, complexity idea, and automata idea to theoretical laptop technological know-how in general.

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Extra info for FSTTCS 2007: Foundations of Software Technology and Theoretical Computer Science: 27th International Conference, New Delhi, India, December 12-14, 2007. Proceedings

Example text

We call the automaton a backward W-automaton if the weight of a path is read backwards, and a forward W-automaton otherwise. Let A be an unweighted automaton and L(A) be the set of configurations accepted by it. Then, prestar(A) produces a forward weighted automaton Apre ∗ as output, such that Apre ∗ (c) = MOVP({c}, L(A)), whereas poststar(A) produces a backward weighted automaton Apost ∗ as output, such that Apost ∗ (c) = MOVP(L(A), {c}) [42]. Examples are shown in Fig. 6(b). One thing to note here is how the poststar automaton works.

Definition 7. If G is a finite set, then the relational weight domain on G is defined as (2G×G , ∪, ; , ∅, id): weights are binary relations on G, combine is union, extend is relational composition (“;”), 0 is the empty relation, and 1 is the identity relation on G. By instantiating G to be the set of global states of a Boolean program P , we obtain a weight domain for encoding P . 3, is a binary relation on G. For example, the WPDS shown in Fig. 6 encodes the Boolean program from Fig. 5(a). The Boolean program has two variables that range over the set V = {0, 1, .

The path function pfq for path q = [e1 , e2 , . . , ej ] is the composition, in order, of q’s transfer functions: pfq = M (ej ) ◦ . . ◦ M (e2 ) ◦ M (e1 ). In intraprocedural dataflow analysis, the goal is to determine, for each node n, the “meet-over-allpaths” solution: pfq (v0 ), MOPn = q∈Paths(enter,n) where Paths(enter, n) denotes the set of paths in the CFG from the enter node to n [25]. MOPn represents a summary of the possible memory configurations that can arise at n: because v0 ∈ V represents the set of possible memory configurations at the beginning of the program, pfq (v0 ) represents the contribution of path q to the memory configurations summarized at n.

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