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To analyze larger models for explicit-state model checking, directed model checking applies error-guided search, external model checking uses secondary storage media, and distributed model checking exploits parallel exploration on multiple processors. In this paper we propose an external, distributed and directed on-the-fly model checking algorithm to check… (More)

In this paper we present Parallel External A*, a parallel variant of external memory directed model checking. As a model scales up, its successors generation becomes complex and, in turn, starts to impact the running time of the model checker. Probings of our external memory model checker IO-HSF-SPIN revealed that in some of the cases about 70% of the whole… (More)

Directed model checking has proved itself to be a useful technique in reducing the state space of the problem graph. But still, its potential is limited by the available memory. This problem can be circumvented by the use of secondary storage devices to store the state space. This paper discusses directed best-first search to enhance error detection… (More)

Heuristic search is used to efficiently solve the single-node shortest path problem in weighted graphs. In practice, however , one is not only interested in finding a short path, but an optimal path, according to a certain cost notion. We propose an algebraic formalism that captures many cost notions, like typical Quality of Service attributes. We thus… (More)

— This paper provides a novel approach for optimal route planning making efficient use of the underlying geometrical structure. It combines classical AI exploration with computational geometry. Given a set of global positioning system (GPS) trajectories, the input is refined by geometric filtering and rounding algorithms. For constructing the graph and the… (More)

Petri nets are fundamental to the analysis of distributed systems especially infinite-state systems. Finding a particular marking corresponding to a property violation in Petri nets can be reduced to exploring a state space induced by the set of reachable markings. Typical exploration(reachability analysis) approaches are undirected and do not take into… (More)

Graphs are suitable modeling formalisms for software and hardware systems involving aspects such as communication, object orientation , concurrency, mobility and distribution. State spaces of such systems can be represented by graph transition systems, which are basically transition systems whose states and transitions represent graphs and graph morphisms.… (More)

This paper considers strategies for external memory based optimal planning. An external breadth-first search exploration algorithm is devised that is guaranteed to find the cost-optimal solution. We contribute a procedure for finding the upper bound on the locality of the search in planning graphs that dictates the number of layers that have to be kept to… (More)

We propose a unified approach to disk-based search for deterministic, non-deterministic, and probabilistic (MDP) settings. We provide the design of an external Value Iteration algorithm that performs at most O(l G · scan(|E|) + t max · sort(|E|)) I/Os, where l G is the length of the largest back-edge in the breadth-first search graph G having |E| edges, t… (More)