The complexity of propositional linear temporal logics
Journal of the ACM (JACM)
Automatic verification of finite-state concurrent systems using temporal logic specifications
ACM Transactions on Programming Languages and Systems (TOPLAS)
Parametric real-time reasoning
STOC '93 Proceedings of the twenty-fifth annual ACM symposium on Theory of computing
Theoretical Computer Science
New Decidability Results Concerning Two-Way Counter Machines
SIAM Journal on Computing
IEEE Transactions on Software Engineering - Special issue on formal methods in software practice
Using the ASTRAL model checker to analyze mobile IP
Proceedings of the 21st international conference on Software engineering
Reversal-Bounded Multicounter Machines and Their Decision Problems
Journal of the ACM (JACM)
Proceedings of the 22nd international conference on Software engineering
Symbolic Model Checking
Reachability Analysis of Pushdown Automata: Application to Model-Checking
CONCUR '97 Proceedings of the 8th International Conference on Concurrency Theory
Binary Reachability Analysis of Discrete Pushdown Timed Automata
CAV '00 Proceedings of the 12th International Conference on Computer Aided Verification
Design and Synthesis of Synchronization Skeletons Using Branching-Time Temporal Logic
Logic of Programs, Workshop
A Symbolic Model Checker for Testing ASTRAL Real-Time Specifications
RTCSA '99 Proceedings of the Sixth International Conference on Real-Time Computing Systems and Applications
On the solvability of a class of diophantine equations and applications
Theoretical Computer Science
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We look at a model of a two-way nondeterministic finite automaton augmented with monotonic counters operating on inputs of the form a1i1 ...anin for some fixed n and distinct symbols a1, ..., an, where i1, ..., in are nonnegative integers. Our results concern the following Presburger safety verification problem: Given a machine M, a state q, and a Presburger relation E over counter values, is there (i1, ..., in) such that M, when started in its initial state on the left end of the input a1i1 ...anin with all counters initially zero, reaches some configuration where the state is q and the counter values satisfy E? We give positive and negative results for different variations and generalizations of the model (e.g., augmenting the model with reversal-bounded counters, discrete clocks, etc.). In particular, we settle an open problem in [10].