By Peter Schachte, Harald Søndergaard (auth.), E. Allen Emerson, Kedar S. Namjoshi (eds.)
ISBN-10: 3540311394
ISBN-13: 9783540311393
This ebook constitutes the refereed court cases of the seventh foreign convention on Verification, version Checking, and summary Interpretation, VMCAI 2006, held in Charleston, South Carolina, united states in January 2006, co-located with the Symposium on ideas of Programming Languages (POPL 2006).
The 27 revised complete papers awarded including one invited paper have been conscientiously reviewed and chosen from fifty eight submissions. The papers function present examine from the groups of verification, version checking, and summary interpretation, facilitating interplay, cross-fertilization, and development of hybrid methods.
Read Online or Download Verification, Model Checking, and Abstract Interpretation: 7th International Conference, VMCAI 2006, Charleston, SC, USA, January 8-10, 2006. Proceedings PDF
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Additional resources for Verification, Model Checking, and Abstract Interpretation: 7th International Conference, VMCAI 2006, Charleston, SC, USA, January 8-10, 2006. Proceedings
Example text
We also say that S approximates S. The embedding order is used to define a concretization function for a single S}. The concretization 3-valued structure S by σ(S) = {S ∈ 2-STRUCT | S of a set of 3-valued structures is defined by γ(XS) = S∈XS σ(S). The embedding order induces a Hoare preorder on sets of 3-valued structures. Definition 4. For sets of structures XS1 , XS2 ⊆ 3-STRUCT, XS1 only if ∀S1 ∈ XS1 : ∃S2 ∈ XS2 : S1 S2 . XS2 if and In the following definition, we restrict sets of 3-valued structures by disallowing non-maximal structures.
2. We present a new algorithm to compute the meet of 3-valued structures. We define the concept of correspondence relations between abstract heap objects and explain how to compute meet from these relations. We then develop a strategy to find correspondence relations that manages to prune many of the irrelevant relations thus making the algorithm efficient in practice. 3. We have implemented the meet algorithm in TVLA—a system for generating program analysis from operational semantics [5]—and used it to implement a new analysis for detecting program locations where heap objects and reference fields become unused in Java programs.
We prove that meet is computationally hard for the abstract domain of bounded structures (Theorem 3), which is used by the TVLA system, by showing a reduction from the problem of 3-colorability on graphs to deciding whether the output of meet is empty. This result is a bit surprising since structures in this domain have unique “canonical names”, which makes isomorphism checking and checking of embedding (subsumption) decidable in polynomial time. 2. We present a new algorithm to compute the meet of 3-valued structures.
Verification, Model Checking, and Abstract Interpretation: 7th International Conference, VMCAI 2006, Charleston, SC, USA, January 8-10, 2006. Proceedings by Peter Schachte, Harald Søndergaard (auth.), E. Allen Emerson, Kedar S. Namjoshi (eds.)
by Steven
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