@inbook{ab61127f0fbc4f5d8a5008c288d17f53,

title = "Symbolically computing most-precise abstract operations for shape analysis",

abstract = "Shape analysis concerns the problem of determining {"}shape invariants{"} for programs that perform destructive updating on dynamically allocated storage. This paper presents a new algorithm that takes as input an abstract value (a 3-valued logical structure describing some set of concrete stores X) and a precondition p, and computes the most-precise abstract value for the stores in X that satisfy p. This algorithm solves several open problems in shape analysis: (i) computing the most-precise abstract value of a set of concrete stores specified by a logical formula; (ii) computing best transformers for atomic program statements and conditions; (iii) computing best transformers for loop-free code fragments (i.e., blocks of atomic program statements and conditions); (iv) performing interprocedural shape analysis using procedure specifications and assume-guarantee reasoning; and (v) computing the most-precise overapproximation of the meet of two abstract values. The algorithm employs a decision procedure for the logic used to express properties of data structures. A decidable logic for expressing such properties is described in [5]. The algorithm can also be used with an undecidable logic and a theorem prover; termination can be assured by using standard techniques (e.g., having the theorem prover return a safe answer if a time-out threshold is exceeded) at the cost of losing the ability to guarantee that a most-precise result is obtained. A prototype has been implemented in TVLA, using the SPASS theorem prover.",

author = "G. Yorsh and T. Reps and M. Sagiv",

year = "2004",

doi = "10.1007/978-3-540-24730-2_39",

language = "אנגלית",

isbn = "354021299X",

series = "Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)",

publisher = "Springer Verlag",

pages = "530--545",

editor = "Kurt Jensen and Andreas Podelski",

booktitle = "Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)",

}