{"id":153038,"date":"2006-11-01T00:00:00","date_gmt":"2006-11-01T00:00:00","guid":{"rendered":"https:\/\/www.microsoft.com\/en-us\/research\/msr-research-item\/interactive-small-step-algorithms-i-axiomatization\/"},"modified":"2018-10-16T20:35:36","modified_gmt":"2018-10-17T03:35:36","slug":"interactive-small-step-algorithms-i-axiomatization","status":"publish","type":"msr-research-item","link":"https:\/\/www.microsoft.com\/en-us\/research\/publication\/interactive-small-step-algorithms-i-axiomatization\/","title":{"rendered":"Interactive Small-Step Algorithms I: Axiomatization"},"content":{"rendered":"<div class=\"asset-content\">\n<p>In earlier work, the Abstract State Machine Thesis \u2014 that arbitrary algorithms are behaviorally equivalent to abstract state machines \u2014 was established for several classes of algorithms, including ordinary, interactive, small-step algorithms. This was accomplished on the basis of axiomatizations of these classes of algorithms. Here we extend the axiomatization and, in a companion paper, the proof, to cover interactive small-step algorithms that are not necessarily ordinary. This means that the algorithms (1)~can complete a step without necessarily waiting for replies to all queries from that step and (2)~can use not only the environment&#8217;s replies but also the order in which the replies were received.<\/p>\n<\/div>\n<p><!-- .asset-content --><\/p>\n","protected":false},"excerpt":{"rendered":"<p>In earlier work, the Abstract State Machine Thesis \u2014 that arbitrary algorithms are behaviorally equivalent to abstract state machines \u2014 was established for several classes of algorithms, including ordinary, interactive, small-step algorithms. This was accomplished on the basis of axiomatizations of these classes of algorithms. Here we extend the axiomatization and, in a companion paper, [&hellip;]<\/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":null,"msr_publishername":"","msr_publisher_other":"","msr_booktitle":"","msr_chapter":"","msr_edition":"","msr_editors":"","msr_how_published":"","msr_isbn":"","msr_issue":"","msr_journal":"","msr_number":"MSR-TR-2006-170","msr_organization":"","msr_pages_string":"27","msr_page_range_start":"27","msr_page_range_end":"","msr_series":"","msr_volume":"","msr_copyright":"","msr_conference_name":"","msr_doi":"","msr_arxiv_id":"","msr_s2_paper_id":"","msr_mag_id":"","msr_pubmed_id":"","msr_other_authors":"Andreas Blass, Dean Rosenzweig, Benjamin Rossman","msr_other_contributors":"","msr_speaker":"","msr_award":"","msr_affiliation":"","msr_institution":"Microsoft 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