This paper is an investigation of S. Wolfram's Principle of Computational Equivalence' - that (discrete) systems in the natural world should be thought of as performing computations. We take a logical approach, and demonstrate that under almost trivial (physically reasonable) assumptions, discrete evolving physical systems give a class of logical models. Moreover, these models are of intuitionistic, or constructive logics - that is, exactly those logics with a natural computational interpretation under the Curry-Howard 'proofs as programs' isomorphism. © Springer-Verlag Berlin Heidelberg 2006.
CITATION STYLE
Hines, P. (2006). Physical systems as constructive logics. In Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (Vol. 4135 LNCS, pp. 101–112). Springer Verlag. https://doi.org/10.1007/11839132_9
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