Synchronous Dynamical Systems on Directed Acyclic Graphs: Complexity and Algorithms

Authors: Daniel J. Rosenkrantz, Madhav Marathe, S. S. Ravi, Richard E. Stearns11334-11342

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Reproducibility Variable Result LLM Response
Research Type Theoretical We show that computational intractability results for reachability problems hold even for dynamical systems on directed acyclic graphs (dags). We also show that for dynamical systems on dags where each local function is monotone, the reachability problem can be solved efficiently.
Researcher Affiliation Academia 1Biocomplexity Institute and Initiative, University Virginia, Charlottesville, VA 22904. 2Computer Science Dept., University at Albany SUNY, Albany, NY 12222. 3Computer Science Dept., University Virginia, Charlottesville, VA 22904.
Pseudocode No The paper does not contain structured pseudocode or algorithm blocks.
Open Source Code No The paper does not provide concrete access to source code for the methodology described.
Open Datasets No The paper is theoretical and does not use datasets.
Dataset Splits No The paper is theoretical and does not provide dataset split information.
Hardware Specification No The paper is theoretical and does not describe computational experiments that would require hardware specifications.
Software Dependencies No The paper is theoretical and does not describe software used for experiments that would require specific version numbers.
Experiment Setup No The paper is theoretical and does not describe an experimental setup with hyperparameters or training configurations.