Shape Analysis and Separation Logic Sample Clauses

Shape Analysis and Separation Logic. ∗ Shape analyses [114, 115] aim to be accurate in the presence of deep-heap updates — they go beyond aliasing or points-to relationships to infer properties such as whether a variable points to a cyclic or acyclic linked list. Separation logic [109] is an extension of Hoare Logic for reasoning about programs that access and mutate data held in computer memory. It is based on a special conjunction operation called the separating conjunction and on program-proof rules that exploit separation to provide modular reasoning about programs. Thanks to the separation conjunction, separation logic supports inductive definitions providing natural descriptions of mutable data structures and frame axioms, which state what does not change. Specifying what does not change is essential to prove many programs involving pointer manipulations. These features of separation logic together enable specifications and proofs for pointer programs that are dramatically simpler than was possible previously [13, 105, 109, 43]. Separation logic has been combined with shape analysis to obtain scalable automatic verification techniques. Prominently among these is Space Invader/Abductor [42, 12, 125, 27], an automatic shape analysis tool based on separation logic aiming at the verification of real software. The driving forces behind Space Invader/Abductor are: On the one hand, the idea of local reasoning in separation logic [75] that allows specifications to concentrate on the footprint: the cells touched by a command. On the other hand, there is the notion of bi-abductive inference [27] (see also Chapter 5) which allow the verification to be compositional and therefore to scale to very large programs (millions of lines of code). A number of other verification systems for separation logic have been developed (some of which take some inspiration from Space Invader), varying from the level of automation to the kind of programming features they handle [79, 52, 103, 15, 57, 14, 95, 30, 122, 43].
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