Alan Turing pioneered semantics-to-syntax analysis of algorithms. You start with a large species of algorithms, and you finish up with a syntactic artifact that characterizes the species, typically a kind of machines that compute all and only the algorithms of the species.<\/p>\n
The task of analyzing a large species of algorithms seems daunting if not impossible. As in quicksand, one needs a rescue point, a fulcrum. In computation analysis, a fulcrum is a particular viewpoint on computation that clarifies and simplifies things to the point that analysis become possible.
\nWe review from that point of view Turing’s analysis of human-executable computation, Kolmogorov’s analysis of sequential bit-level computation, Gandy’s analysis of a species of machine computation, and our own analysis of sequential computation.<\/p>\n","protected":false},"excerpt":{"rendered":"
Alan Turing pioneered semantics-to-syntax analysis of algorithms. You start with a large species of algorithms, and you finish up with a syntactic artifact that characterizes the species, typically a kind of machines that compute all and only the algorithms of the species. The task of analyzing a large species of algorithms seems daunting if not […]<\/p>\n","protected":false},"featured_media":0,"template":"","meta":{"msr-url-field":"","msr-podcast-episode":"","msrModifiedDate":"","msrModifiedDateEnabled":false,"ep_exclude_from_search":false,"_classifai_error":"","msr-author-ordering":[{"type":"user_nicename","value":"gurevich","user_id":"31929"}],"msr_publishername":"Birkh\u00c3\u00a4user\/Springer 2015","msr_publisher_other":"","msr_booktitle":"Turing's Revolution - The Impact of His Ideas about Computability","msr_chapter":"Semantics-To-Syntax Analyses of Algorithms","msr_edition":"A chapter in G. Sommaruga and T. 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