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What and Who
Title:Modular Reasoning about Heap Paths via Effectively Propositional Formulas
Speaker:Ori Lahav
coming from:Tel Aviv University
Speakers Bio:
Event Type:SWS Colloquium
Visibility:D1, D2, D3, D4, D5, SWS, RG1, MMCI
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Level:AG Audience
Language:English
Date, Time and Location
Date:Thursday, 24 April 2014
Time:10:30
Duration:60 Minutes
Location:Kaiserslautern
Building:G26
Room:113
Abstract
First order logic with transitive closure, and separation logic enable elegant interactive verification of heap-manipulating programs. However, undecidabilty results and high asymptotic complexity of checking validity preclude complete automatic verification of such programs, even when loop invariants and procedure contracts are specified as formulas in these logics. We tackle the problem of procedure-modular verification of reachability properties of heap-manipulating programs using efficient decision procedures that are complete: that is, a SAT solver must generate a counterexample whenever a program does not satisfy its specification. By (a) requiring each procedure modifies a fixed set of heap partitions and creates a bounded amount of heap sharing, and (b) restricting program contracts and loop invariants to use only deterministic paths in the heap, we show that heap reachability updates can be described in a simple manner. The restrictions force program specifications and verification conditions to lie within a fragment of first-order logic with transitive closure that is reducible to effectively propositional logic, and hence facilitate sound, complete and efficient verification. We implemented a tool atop Z3 and report on preliminary experiments that establish the correctness of several programs that manipulate linked data structures.

Presented in POPL'14.

Joint work with:
Shachar Itzhaky (Tel Aviv University), Anindya Banerjee (IMDEA Software Institute), Neil Immerman (University of Massachusetts), Aleksandar Nanevski (IMDEA Software Institute), Mooly Sagiv (Tel Aviv University)
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Video Broadcast
Video Broadcast:YesTo Location:Saarbr├╝cken
To Building:E1 5To Room:029
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  • Vera Laubscher, 04/23/2014 11:11 AM -- Created document.