Outcome Separation Logic: Local Reasoning for Correctness and Incorrectness with Computational Effects

Abstract

Separation logic's compositionality and local reasoning properties have led to significant advances in scalable static analysis. But program analysis has new challenges -- many programs display computational effects and, orthogonally, static analyzers must handle incorrectness too. We present Outcome Separation Logic (OSL), a program logic that is sound for both correctness and incorrectness reasoning in programs with varying effects. OSL has a frame rule -- just like separation logic -- but uses different underlying assumptions that open up local reasoning to a larger class of properties than can be handled by any single existing logic. Building on this foundational theory, we also define symbolic execution algorithms that use bi-abduction to derive specifications for programs with effects. This involves a new tri-abduction procedure to analyze programs whose execution branches due to effects such as nondeterministic or probabilistic choice. This work furthers the compositionality promised by separation logic by opening up the possibility for greater reuse of analysis tools across two dimensions: bug-finding vs verification in programs with varying effects.

References in corpus (8)

• Quantitative Separation Logic - A Logic for Reasoning about Probabilistic Programs
• Relational reasoning via probabilistic coupling
• Outcome Logic: A Unifying Foundation for Correctness and Incorrectness Reasoning
• A Separation Logic for Concurrent Randomized Programs
• A Probabilistic Separation Logic
• A Separation Logic for Negative Dependence
• Outcome Separation Logic: Local Reasoning for Correctness and Incorrectness with Computational Effects
• From Branching to Linear Time, Coalgebraically

Cited by in corpus (5)

• Outcome Separation Logic: Local Reasoning for Correctness and Incorrectness with Computational Effects
• A Demonic Outcome Logic for Randomized Nondeterminism
• Sufficient Incorrectness Logic: SIL and Separation SIL
• Probabilistic Concurrent Reasoning in Outcome Logic: Independence, Conditioning, and Invariants
• Outcome Logic: A Unified Approach to the Metatheory of Program Logics with Branching Effects