{"id":161509,"date":"2011-07-01T00:00:00","date_gmt":"2011-07-01T00:00:00","guid":{"rendered":"https:\/\/cm-edgetun.pages.dev\/en-us\/research\/msr-research-item\/hilbertian-deductive-systems-infon-logic-and-datalog\/"},"modified":"2018-10-16T20:12:54","modified_gmt":"2018-10-17T03:12:54","slug":"hilbertian-deductive-systems-infon-logic-and-datalog","status":"publish","type":"msr-research-item","link":"https:\/\/cm-edgetun.pages.dev\/en-us\/research\/publication\/hilbertian-deductive-systems-infon-logic-and-datalog\/","title":{"rendered":"Hilbertian Deductive Systems, Infon Logic, and Datalog"},"content":{"rendered":"\n\n\n<p class=\"wp-block-paragraph\">In the \ufb01rst part of the paper, we develop a general method for converting derivability problems, from a broad range of deductive systems, into the derivability problem in a quite speci\ufb01c system, namely the Datalog fragment of universal Horn logic. In this generality, the derivability problems may not be recursively solvable, let alone feasible; in particular, we may get Datalog \u201cprograms\u201d with in\ufb01nitely many rules. We then discuss what would be needed to obtain computationally useful results from this method. In the second part of the paper, we analyze a particular deductive system, primal infon logic with variables, which arose in the development of the authorization language DKAL. A consequence of our analysis of primal infon logic with variables is that its derivability problems can be translated into Datalog with only a quadratic increase of size.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>In the \ufb01rst part of the paper, we develop a general method for converting derivability problems, from a broad range of deductive systems, into the derivability problem in a quite speci\ufb01c system, namely the Datalog fragment of universal Horn logic. In this generality, the derivability problems may not be recursively solvable, let alone feasible; in [&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":[{"type":"text","value":"Andreas Blass"},{"type":"user_nicename","value":"gurevich"}],"msr_publishername":"European Association for Theoretical Computer Science","msr_publisher_other":"","msr_booktitle":"","msr_chapter":"","msr_edition":"","msr_editors":"","msr_how_published":"","msr_isbn":"","msr_issue":"","msr_journal":"","msr_number":"MSR-TR-2011-81","msr_organization":"","msr_pages_string":"","msr_page_range_start":"","msr_page_range_end":"","msr_series":"","msr_volume":"","msr_copyright":"","msr_conference_name":"","msr_doi":"","msr_arxiv_id":"","msr_mag_id":"","msr_other_authors":"Andreas 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