A Structure-preserving Clause Form Translation
Journal of Symbolic Computation
A practical algorithm for exact array dependence analysis
Communications of the ACM
Model checking and abstraction
POPL '92 Proceedings of the 19th ACM SIGPLAN-SIGACT symposium on Principles of programming languages
Symbolic model checking: 1020 states and beyond
Information and Computation - Special issue: Selections from 1990 IEEE symposium on logic in computer science
Computer-aided verification of coordinating processes: the automata-theoretic approach
Computer-aided verification of coordinating processes: the automata-theoretic approach
ACM Computing Surveys (CSUR)
A decision procedure for bit-vector arithmetic
DAC '98 Proceedings of the 35th annual Design Automation Conference
Model checking
Automatic predicate abstraction of C programs
Proceedings of the ACM SIGPLAN 2001 conference on Programming language design and implementation
Bebop: a path-sensitive interprocedural dataflow engine
PASTE '01 Proceedings of the 2001 ACM SIGPLAN-SIGSOFT workshop on Program analysis for software tools and engineering
Automatically validating temporal safety properties of interfaces
SPIN '01 Proceedings of the 8th international SPIN workshop on Model checking of software
POPL '02 Proceedings of the 29th ACM SIGPLAN-SIGACT symposium on Principles of programming languages
Separation Logic: A Logic for Shared Mutable Data Structures
LICS '02 Proceedings of the 17th Annual IEEE Symposium on Logic in Computer Science
Bebop: A Symbolic Model Checker for Boolean Programs
Proceedings of the 7th International SPIN Workshop on SPIN Model Checking and Software Verification
On Solving Presburger and Linear Arithmetic with SAT
FMCAD '02 Proceedings of the 4th International Conference on Formal Methods in Computer-Aided Design
Construction of Abstract State Graphs with PVS
CAV '97 Proceedings of the 9th International Conference on Computer Aided Verification
Generating Finite-State Abstractions of Reactive Systems Using Decision Procedures
CAV '98 Proceedings of the 10th International Conference on Computer Aided Verification
Counterexample-Guided Abstraction Refinement
CAV '00 Proceedings of the 12th International Conference on Computer Aided Verification
CAV '02 Proceedings of the 14th International Conference on Computer Aided Verification
Design and Synthesis of Synchronization Skeletons Using Branching-Time Temporal Logic
Logic of Programs, Workshop
RTL-Datapath Verification using Integer Linear Programming
ASP-DAC '02 Proceedings of the 2002 Asia and South Pacific Design Automation Conference
Successive Approximation of Abstract Transition Relations
LICS '01 Proceedings of the 16th Annual IEEE Symposium on Logic in Computer Science
Proceedings of the 31st ACM SIGPLAN-SIGACT symposium on Principles of programming languages
An efficient finite-domain constraint solver for circuits
Proceedings of the 41st annual Design Automation Conference
Predicate Abstraction of ANSI-C Programs Using SAT
Formal Methods in System Design
Word level predicate abstraction and refinement for verifying RTL verilog
Proceedings of the 42nd annual Design Automation Conference
Normalization at the arithmetic bit level
Proceedings of the 42nd annual Design Automation Conference
SATABS: SAT-Based predicate abstraction for ANSI-C
TACAS'05 Proceedings of the 11th international conference on Tools and Algorithms for the Construction and Analysis of Systems
ESOP'05 Proceedings of the 14th European conference on Programming Languages and Systems
Predicate abstraction via symbolic decision procedures
CAV'05 Proceedings of the 17th international conference on Computer Aided Verification
Cogent: accurate theorem proving for program verification
CAV'05 Proceedings of the 17th international conference on Computer Aided Verification
Symbolic model checking for asynchronous boolean programs
SPIN'05 Proceedings of the 12th international conference on Model Checking Software
Bit level types for high level reasoning
Proceedings of the 14th ACM SIGSOFT international symposium on Foundations of software engineering
Proceedings of the conference on Design, automation and test in Europe
Decision Procedures for the Grand Challenge
Verified Software: Theories, Tools, Experiments
Loop Summarization Using Abstract Transformers
ATVA '08 Proceedings of the 6th International Symposium on Automated Technology for Verification and Analysis
Efficient predicate abstraction of program summaries
NFM'11 Proceedings of the Third international conference on NASA Formal methods
Loop summarization using state and transition invariants
Formal Methods in System Design
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Predicate abstraction refinement is a successful technique for verifying large ANSI-C programs. However, computing the image of the predicates with respect to the transition relation is computationally expensive. Recent results have shown that predicate images can be computed by transforming a proof of a formula over integers into a Boolean formula that is satisfiable if and only if the original formula is satisfiable. However, the existing algorithms compute the closure of the proof rules that are used to axiomatize the logic, and thus, rely on the fact that the set of axioms is small. They are therefore limited to logics of low complexity, such as difference logic. We describe a proof-based algorithm that computes an over-approximation of the predicate image but in turn allows a rich set of axioms. The algorithm can be used to compute images of predicates using a combination of bit-vector logic, the theory of arrays, and pointer arithmetic. The proof-based approach can also be used to refine the image. We quantify the performance of the algorithm in comparison with a Das/Dill-like greedy incremental refinement of the image and a proof-based incremental refinement.