On array theory of bounded elements

Authors:
Min Zhou;Fei He;Bow-Yaw Wang;Ming Gu
Affiliations:
,School of Software, Tsinghua University, Beijing, China;,School of Software, Tsinghua University, Beijing, China;INRIA, France, Tsinghua University, China, and Academia Sinica, Taiwan;,School of Software, Tsinghua University, Beijing, China
Venue:
CAV'10 Proceedings of the 22nd international conference on Computer Aided Verification
Year:
2010

Citing 10
Cited 1

Presburger arithmetic with unary predicates is P11 complete

Journal of Symbolic Logic
Verification Decidability of Presburger Array Programs

Journal of the ACM (JACM)
Solving Bit-Vector Equations

FMCAD '98 Proceedings of the Second International Conference on Formal Methods in Computer-Aided Design
Mona: Monadic Second-Order Logic in Practice

TACAS '95 Proceedings of the First International Workshop on Tools and Algorithms for Construction and Analysis of Systems
Mona & Fido: The Logic-Automaton Connection in Practice

CSL '97 Selected Papers from the11th International Workshop on Computer Science Logic
A Decision Procedure for an Extensional Theory of Arrays

LICS '01 Proceedings of the 16th Annual IEEE Symposium on Logic in Computer Science
Techniques for program verification

Techniques for program verification
A Logic of Singly Indexed Arrays

LPAR '08 Proceedings of the 15th International Conference on Logic for Programming, Artificial Intelligence, and Reasoning
Automatic Verification of Integer Array Programs

CAV '09 Proceedings of the 21st International Conference on Computer Aided Verification
What's decidable about arrays?

VMCAI'06 Proceedings of the 7th international conference on Verification, Model Checking, and Abstract Interpretation

Array Theory of Bounded Elements and its Applications

Journal of Automated Reasoning

Quantified Score

Hi-index	0.00

Visualization

Abstract

We investigate a first-order array theory of bounded elements By reducing to weak second-order logic with one successor (WS1S), we show that the proposed array theory is decidable Finally, two natural extensions to the new theory are shown to be undecidable.