No abstract

The grammar problem, a generalization of the single-source shortest-path prob-Ž Ž . Ž . . lem introduced by D. E. Knuth Inform. Process. Lett. 6 1 1977 , 1᎐5 is to compute the minimum-cost derivation of a terminal string from each nonterminal of a given context-free grammar, with the cost of a derivation being suitably defined. This problem also subsumes the problem of finding optimal hyperpaths in Ž . directed hypergraphs under varying optimization criteria that has received attention recently. In this paper we present an incremental algorithm for a version of the grammar problem. As a special case of this algorithm we obtain an efficient incremental algorithm for the single-source shortest-path problem with positive edge lengths. The aspect of our work that distinguishes it from other work on the dynamic shortest-path problem is its ability to handle ''multiple heterogeneous modifications'': between updates, the input graph is allowed to be restructured by an arbitrary mixture of edge insertions, edge deletions, and edge-length changes.

Static program analysis is concerned with the computation of approximations of the runtime behavior of programs. Precise information about a program's runtime behavior is, in general, uncomputable for various different reasons, and each reason may necessitate making certain approximations in the information computed. This article illustrates one source of difficulty in static analysis of concurrent programs. Specifically, the article shows that an analysis that is simultaneously both context-sensitive and synchronization-sensitive (that is, a context-sensitive analysis that precisely takes into account the constraints on execution order imposed by the synchronization statements in the program) is impossible even for the simplest of analysis problems.

This paper addresses the challenge of sound typestate verification, with acceptable precision, for real-world Java programs.We present a novel framework for verification of typestate properties, including several new techniques to precisely treat aliases without undue performance costs. In particular, we present a flowsensitive, context-sensitive, integrated verifier that utilizes a parametric abstract domain combining typestate and aliasing information. To scale to real programs without compromising precision, we present a staged verification system in which faster verifiers run as early stages which reduce the workload for later, more precise, stages.We have evaluated our framework on a number of real Java programs, checking correct API usage for various Java standard libraries. The results show that our approach scales to hundreds of thousands of lines of code, and verifies correctness for 93% of the potential points of failure.