A Logical Analysis of Framing for Specifications with Pure Method Calls

For specifying and reasoning about object-based programs it is often attractive for contracts to be expressed using calls to pure methods. It is useful for pure methods to have contracts, including read effects to support local reasoning based on frame conditions. This leads to puzzles such as the use of a pure method in its own contract. These ideas have been explored in connection with verification tools based on axiomatic semantics, guided by the need to avoid logical inconsistency, and focusing on encodings that cater for first order automated provers. This paper adds pure methods and read effects to region logic, a first-order program logic that features frame-based local reasoning and a proof rule for linking of clients with modules to achieve end-to-end correctness by modular reasoning. Soundness is proved with respect to a conventional operational semantics and using the extensional (i.e., relational) interpretation of read effects.