Domains on Classical States Final Project for COMP-627

نویسنده

  • Jordan Frank
چکیده

In this paper, we will investigate two partial orders on classical states∆n that induce a domain theoretic structure. In particular, we will look at the Bayesian order presented by Coecke and Martin (2002) and the implicative order presented by Martin (2004). For both of the domains that arise from these orderings on the classical states, Shannon entropy is a measurement in the domain theoretic sense. We will then investigate the behaviour of a simple learning algorithm for stochastic learning automata, which has previously been studied using domain theory (Edalat, 1995), in terms of how the states of the system change with respect to the domains induced by these partial orders.

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تاریخ انتشار 2007