Title
Invariants synthesis over a combined domain for automated program verification
Abstract
Program invariants such as loop invariants and method specifications ( a.k.a. procedural summaries) are key components in program verification. Such invariants are usually manually specified by users before passed as inputs to a program verifier. The process of manually annotating programs with such invariants is tedious and error-prone and can significantly hinder the level of automation in program verification. Although invariant synthesis techniques have made noticeable progress in reducing the burden of user annotations; when it comes to automated verification of memory safety and functional correctness for heap-manipulating programs, it remains a rather challenging task to discover program specifications and invariants automatically, due to the complexity of aliasing and mutability of data structures. In this paper, we present invariant synthesis algorithms for the following scenarios: i) to synthesise a missing loop invariant, ii) to refine given pre/post shape templates to complete pre/post-conditions, iii) to infer a missing precondition, iv) to calculate a missing postcondition, given a precondition. The proposed analyses are based on abstract interpretation and are built over an abstract domain combining separation, numerical and multi-set (bag) information. Our inference mechanisms are equipped with newly designed abstraction, join, widening and abduction operations. Initial prototypical experiments have shown that they are viable and powerful enough to discover interesting useful invariants for non-trivial programs.
Year
DOI
Venue
2013
10.1007/978-3-642-39698-4_19
Theories of Programming and Formal Methods
Keywords
Field
DocType
program verifier,non-trivial program,invariant synthesis algorithm,automated verification,invariants synthesis,combined domain,annotating program,program specification,loop invariants,program verification,automated program verification,heap-manipulating program,interesting useful invariants
Data structure,Memory safety,Programming language,Computer science,Abstract interpretation,Correctness,Precondition,Theoretical computer science,Loop invariant,Symbolic execution,Postcondition
Conference
Citations 
PageRank 
References 
2
0.38
34
Authors
4
Name
Order
Citations
PageRank
Shengchao Qin171162.81
Guanhua He2687.50
Wei-Ngan Chin386863.37
Hongli Yang419114.80