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Ancestors, descendants, and gardens of Eden in reaction systems

Abstract : This paper analyses several problems related to finding and counting ancestor and descendant states, as well as gardens of Eden (i.e., states without predecessors) in reaction systems. The focus is on the complexity of finding and counting preimages and ancestors that are minimal with respect to cardinality. It turns out that the problems concerning gardens of Eden seem to require the presence of an NP-oracle to be solved. All the problems studied are intractable, with a complexity that ranges form FPNP[log⁡n] to FPSPACE(poly).
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Contributor : Enrico Formenti <>
Submitted on : Tuesday, May 10, 2016 - 11:33:34 AM
Last modification on : Friday, June 11, 2021 - 9:26:02 AM

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Alberto Dennunzio, Enrico Formenti, Luca Manzoni, Antonio Porreca. Ancestors, descendants, and gardens of Eden in reaction systems. Theoretical Computer Science, Elsevier, 2015, From Computer Science to Biology and Back, 608, pp.16-26. ⟨10.1016/j.tcs.2015.05.046⟩. ⟨hal-01313664⟩



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