Combinatorial-State Automata and Models of Computation
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David Chalmers has defended an account of what it is for a physical system to implement a computation. The account appeals to the idea of a “combinatorial-state automaton” or CSA. It is not entirely clear whether Chalmers intends the CSA to be a full-blown computational model, or merely a convenient formalism into which instances of other models can be translated. I argue that the CSA is not a computational model in the usual sense because CSAs do not perspicuously represent algorithms, and because they are too powerful both in that they can perform any computation in a single step and in that without so far unspecified restrictions they can “compute” the uncomputable. In addition,I suggest that finite, inputless CSAs have trivial implementations very similar to those they were introduced to avoid.
Abstract
David Chalmers has defended an account of what it is for a physical system to implement a computation. The account appeals to the idea of a “combinatorial-state automaton” or CSA. It is not entirely clear whether Chalmers intends the CSA to be a full-blown computational model, or merely a convenient formalism into which instances of other models can be translated. I argue that the CSA is not a computational model in the usual sense because CSAs do not perspicuously represent algorithms, and because they are too powerful both in that they can perform any computation in a single step and in that without so far unspecified restrictions they can “compute” the uncomputable. In addition,I suggest that finite, inputless CSAs have trivial implementations very similar to those they were introduced to avoid.
참고문헌 (9)
- Chalmers, David., "On Implementing a Computation", Minds and Machines, 4, pp.391~402 (1994)
- Chalmers, David, "Does a Rock Implement Every Finite-State Automaton?", Synthese, 108, pp.309~333 (1996)
- Chalmers, David., "The Conscious Mind" (1996), Oxford University Press
- David J. Chalmers, "A Computational Foundation for the Study of Cognition", Journal of Cognitive Science, 12(4), pp.325~359 (2011), 인지과학연구소
- Cocos, Cristian., "Computational Processes: A Reply to Chalmers and Copeland", Sats, 3(1), pp.25~49 (2002)
- Dershowitz, Nachum, "A Natural Axiomatization of Computability and Proof of Church’s Thesis", Bulletin of Symbolic Logic, 14, pp.299~350 (2008)
- Putnam, Hilary., "Representation and Reality" (1988), MIT Press
- Searle, John R., "The Rediscovery of the Mind" (1991), MIT Press
- Taylor, R. Gregory., "Models of Computation and Formal Languages" (1998), Oxford University Press
