In this paper we describe our experience with model checking randomized distributed algorithms using PRISM, a symbolic model checker for concurrent probabilistic systems currently being developed. PRISM uses Multi-Terminal Binary Decision Diagrams (MTBDDs) as supplied by the CUDD package of Fabio Somenzi. Implemented in Java, PRISM has a system description language similar to Reactive Modules a...

We propose state-feedback controller design methodologies using our recent results on uniform solvability of state-dependent matrix Lyapunov equations. The controller designs obtained do not involve recursive computations and have a simple form being essentially a linear feedback with state-dependent dynamic gains. Furthermore, the Lyapunov functions utilized in the designs are quadratic functi...

BDD-based symbolic model checking is capable of verifying systems with a large number of states. In this work, we report an extensible framework to facilitate symbolic encoding and checking of hierarchical systems. Firstly, a novel library of symbolic encoding functions for compositional operators (e.g., parallel composition, sequential composition, choice operator, etc.) are developed so that ...

Formal verification is fundamental in many phases of digital systems design. The most successful verification procedures employ Ordered Binary Decision Diagrams (OBDDs) as canonical representation for both Boolean circuit specifications and logic designs, but these methods require a large amount of memory and time. Due to these limitations, several models of Decision Diagrams have been studied ...

We follow up on the idea of Lars Arge to rephrase Reduce and Apply procedures Binary Decision Diagrams (BDDs) as iterative I/O-efficient algorithms. identify multiple avenues simplify improve performance his proposed Furthermore, we extend technique other common BDD operations, many which are not derivable using operations alone, provide asymptotic improvements for that can be derived Apply. Th...

Binary Decision Diagram (in short BDD) is an efficient data structure which has been used widely in computer science and engineering. BDD-based attack in key stream cryptanalysis is one of the best forms of attack in its category. In this paper, we propose a new key stream attack which is based on ZDD(Zero-suppressed BDD). We show how a ZDD-based key stream attack is more efficient in time and ...

binary decision diagram (in short bdd) is an efficient data structure which has been used widely in computer science and engineering. bdd-based attack in key stream cryptanalysis is one of the best forms of attack in its category. in this paper, we propose a new key stream attack which is based on zdd(zero-suppressed bdd). we show how a zdd-based key stream attack is more efficient in time and ...

Binary Decision Diagram (in short BDD) is an efficient data structure which has been used widely in computer science and engineering. BDD-based attack in key stream cryptanalysis is one of the best forms of attack in its category. In this paper, we propose a new key stream attack which is based on ZDD(Zero-suppressed BDD). We show how a ZDD-based key stream attack is more efficient in time and ...

For the exploration of large state spaces, symbolic search using binary decision diagrams (BDDs) can save huge amounts of memory and computation time. State sets are represented and modified by accessing and manipulating their characteristic functions. BDD partitioning is used to compute the image as the disjunction of smaller subimages. In this paper, we propose a novel BDD partitioning option...

We present a new hybrid BDD and SAT-based algorithm for model checking. Our algorithm is based on backward search, where each pre-image computation consists of an efficient All-SAT procedure. The All-SAT procedure exploits a graph representation of the model to dynamically prune the search space, thus preventing unnecessary search in large sub-spaces, and for identifying independent sub-problem...