Graph-Based Algorithms for Boolean Function Manipulation
IEEE Transactions on Computers
Efficient implementation of a BDD package
DAC '90 Proceedings of the 27th ACM/IEEE Design Automation Conference
Model checking
Separation Logic: A Logic for Shared Mutable Data Structures
LICS '02 Proceedings of the 17th Annual IEEE Symposium on Logic in Computer Science
ASIAN '00 Proceedings of the 6th Asian Computing Science Conference on Advances in Computing Science
Verifying BDD Algorithms through Monadic Interpretation
VMCAI '02 Revised Papers from the Third International Workshop on Verification, Model Checking, and Abstract Interpretation
Proving Pointer Programs in Hoare Logic
MPC '00 Proceedings of the 5th International Conference on Mathematics of Program Construction
TYPES'02 Proceedings of the 2002 international conference on Types for proofs and programs
Isabelle/HOL: a proof assistant for higher-order logic
Isabelle/HOL: a proof assistant for higher-order logic
A Mechanical Analysis of Program Verification Strategies
Journal of Automated Reasoning
Reachability analysis using multiway decision graphs in the HOL theorem prover
Proceedings of the 2008 ACM symposium on Applied computing
An abstract reachability approach by combining HOL induction and multiway decision graphs
Journal of Computer Science and Technology
Verification condition generation via theorem proving
LPAR'06 Proceedings of the 13th international conference on Logic for Programming, Artificial Intelligence, and Reasoning
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We present the verification of the normalization of a binary decision diagram (BDD). The normalization follows the original algorithm presented by Bryant in 1986 and transforms an ordered BDD in a reduced, ordered and shared BDD. The verification is based on Hoare logics and is carried out in the theorem prover Isabelle/HOL. The work is both a case study for verification of procedures on a complex pointer structure, as well as interesting on its own, since it is the first proof of functional correctness of the pointer based normalization process we are aware of.