Principles of artificial intelligence
Principles of artificial intelligence
Perfectly secure message transmission
Journal of the ACM (JACM)
Are dependable systems feasible?
Communications of the ACM
Fast Simulation of Highly Dependable Systems with General Failure and Repair Processes
IEEE Transactions on Computers
Communications of the ACM
Graph minors. XIII: the disjoint paths problem
Journal of Combinatorial Theory Series B
Path independence for authentication in large-scale systems
Proceedings of the 4th ACM conference on Computer and communications security
Finding Two Disjoint Paths Between Two Pairs of Vertices in a Graph
Journal of the ACM (JACM)
Paths, Flows, and VLSI-Layout
Computers and Intractability: A Guide to the Theory of NP-Completeness
Computers and Intractability: A Guide to the Theory of NP-Completeness
Reliable Communication over Partially Authenticated Networks
WDAG '97 Proceedings of the 11th International Workshop on Distributed Algorithms
Towards Fault-Tolerant and Secure Agentry
WDAG '97 Proceedings of the 11th International Workshop on Distributed Algorithms
Using Approximation Hardness to Achieve Dependable Computation
RANDOM '98 Proceedings of the Second International Workshop on Randomization and Approximation Techniques in Computer Science
A Linear-Time Algorithm for Edge-Disjoint Paths in Planar Graphs
ESA '93 Proceedings of the First Annual European Symposium on Algorithms
Issues of fault tolerance in concurrent computations (databases, reliability, transactions, agreement protocols, distributed computing)
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We consider the problem of dependable computation with multiple inputs. The goal is to study when redundancy can help to achieve survivability and when it cannot. We use AND/OR graphs to model fault tolerant computations with multiple inputs. While there is a polynomial time algorithm for finding vertex disjoint paths in networks, we will show that the equivalent problem in computation systems with multiple inputs is NP-hard. Our main results are as follows. (1) We present a general model for fault tolerant computation systems with multiple inputs: AND/OR graphs. (2) We show that it is NP-hard to find two vertex disjoint solution graphs in an AND/OR graph. It follows that in the general case redundancy cannot help to achieve survivability, assuming P≠NP.