Jie Ding, Jane Hillston (auth.), Michael Johnson, Dusko's Algebraic Methodology and Software Technology: 13th PDF

By Jie Ding, Jane Hillston (auth.), Michael Johnson, Dusko Pavlovic (eds.)

ISBN-10: 3642177964

ISBN-13: 9783642177965

This publication constitutes the refereed court cases of the thirteenth overseas convention on Algebraic technique and software program expertise, AMAST 2010, held in Lac-Beauport, quality controls, Canada, in June 2010.

The 14 revised complete papers provided have been conscientiously reviewed and chosen from 33 submissions. The papers are equipped in 1 invited paper, 10 contributed learn papers, and four approach demonstrations.

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Read Online or Download Algebraic Methodology and Software Technology: 13th International Conference, AMAST 2010, Lac-Beauport, QC, Canada, June 23-25, 2010. Revised Selected Papers PDF

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Extra info for Algebraic Methodology and Software Technology: 13th International Conference, AMAST 2010, Lac-Beauport, QC, Canada, June 23-25, 2010. Revised Selected Papers

Sample text

A Kleene algebra (KA) is an algebraic structure (K, +, ·, ∗ , 0, 1) satisfying the following axioms4 . p + (q + r) = (p + q) + r p(q + r) = pq + pr (p + q)r = pr + qr qp + r p → q ∗ r p pq + r p → rq ∗ p 3 4 p(qr) = (pq)r p+q =q+p p+p=p 1 + p∗ p p∗ 1 + pp∗ p∗ p+0=p p0 = 0 = 0p p1 = p = 1p p q ↔p+q =q Blocks of the form [x 0 ]y do not translate to a rule. They are just omitted in the grammar. Those blocks are a way to identify the fail instruction in programs. In the sequel, we write pq instead of p · q.

Thus, a restricted set of context-free grammars are introduced. Let Σi , Σc and Σr be disjoint finite sets of atomic elements. Let V be a finite set of symbols containing symbols S and T , and let N (V ) := {P(X,Y ) | X, Y ∈ V }. A well-matched visibly pushdown grammar (WMVPG) over Σi , Σc and Σr 1 2 For example, verifying if a program respects a given file manipulation security policy. Intuitively, a word is said to be well matched if every call action in the word has a matching return action in it and vice versa.

For ongoing work, one idea is to extend VPKA with “infinite” operators to represent visibly pushdown ω-languages as defined in [1]. This would allow us to handle non-halting programs. Moreover, other applications for VPKA need to be investigated, like the representation of programs having nonlocal transfer of control (for example, goto statements). Kozen already did it for modular programs [7], but the proof is very involved. We think that using continuation (the ending label of a block is like a continuation) will help to reduce the complexity of the representation and will be easier to read.

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Algebraic Methodology and Software Technology: 13th International Conference, AMAST 2010, Lac-Beauport, QC, Canada, June 23-25, 2010. Revised Selected Papers by Jie Ding, Jane Hillston (auth.), Michael Johnson, Dusko Pavlovic (eds.)


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