Treffer: Local Reasoning for Global Invariants, Part I: Region Logic.

Shared mutable objects pose grave challenges in reasoning, especially for information hiding and modularity. This article presents a novel technique for reasoning about error-avoiding partial correctness of programs featuring shared mutable objects, and investigates the technique by formalizing a logic. Using a first-order assertion language, the logic provides heap-local reasoning about mutation and separation, via ghost fields and variables of type "region" (finite sets of object references). A new form of frame condition specifies write, read, and allocation effects using region expressions; this supports a frame rule that allows a command to read state on which the framed predicate depends. Soundness is proved using a standard program semantics. The logic facilitates heap-local reasoning about object invariants, as shown here by examples. Part II of this article extends the logic with second-order framing which formalizes the hiding of data invariants. [ABSTRACT FROM AUTHOR]

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