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1、AutomationTomRidgeApril12,2005Contents1Introduction...............................................................12Requirements..............................................................13CurrentAutomationinInteractiveProvers......................
2、.................44Techniques...............................................................54.1ProofSearch...........................................................64.1.1LogicalSystem.....................................................64.1.2IntroRu
3、les.........................................................64.2Equality...............................................................84.2.1Rewriting..........................................................84.2.2ConditionalSimplification............
4、................................94.2.3Completion.......................................................104.2.4DynamicCompletion....................................................114.2.5EquationalUnification............................................
5、.......125InterfaceandIntegration......................................................126Assessment...............................................................136.1Assessmentwrt.Requirements...............................................136.2Compl
6、eteness.............................................................146.3Efficiency.............................................................146.4InPractice.............................................................157Alternative.................
7、...............................................168Conclusion................................................................191IntroductionAutomationcanbekeytosuccessfulmechanisation.Insomesituations,mechanisationisfeasiblewithoutautomation.Indeed,inh
8、ighlyabstractmathematicalareas,mostmechanisedreasoningconsistsoftheuserspellingoutcomplicatedargumentswhicharefarbeyondthosewhichcancurrentlybetackledbyautomation.Inthissetting,automation,ifitisusedatall,isdirectedateasilysolvable,tightlydefin
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