On Extending Incorrectness Logic with Backwards Reasoning
This program is tentative and subject to change.
This paper studies an extension of O’Hearns’ incorrectness logic (IL) that allows backwards reasoning. IL in its current form does not generically permit backwards reasoning. We show that this can be mitigated by extending IL with underspecification. The resulting logic thus combines underspecification (a result only needs to formulate constraints over relevant variables) with underapproximation (it allows to focus on fewer than all the paths). We prove soundness of the proof system, as well as completeness for a defined subset of presumptions. We discuss proof strategies that allow one to derive a presumption from a given result. Most notably, we show that the existing concept of loop summaries – closed-form symbolic representations that summarize the effects of executing an entire loop at once – is highly useful. The logic, the proof system and all theorems have been formalized in the Isabelle/HOL theorem prover.
This program is tentative and subject to change.
Thu 23 JanDisplayed time zone: Mountain Time (US & Canada) change
13:20 - 14:20 | |||
13:20 20mTalk | Program logics à la carte POPL Max Vistrup ETH Zurich, Michael Sammler Institute of Science and Technology Austria, Ralf Jung ETH Zurich | ||
13:40 20mTalk | On Extending Incorrectness Logic with Backwards Reasoning POPL Freek Verbeek Open Universiteit & Virginia Tech, Md Syadus Sefat Virginia Tech, Zhoulai Fu State University of New York, Korea, Binoy Ravindran Virginia Tech | ||
14:00 20mTalk | A Demonic Outcome Logic for Randomized Nondeterminism POPL Noam Zilberstein Cornell University, Dexter Kozen Cornell University, Alexandra Silva Cornell University, Joseph Tassarotti New York University |