
An introduction to Logic for Computer Science Sujata Ghosh ISI Chennai [email protected] What is logic? What is logic? Reasoning is typically a human activity. What is logic? Reasoning is typically a human activity. There are inference rules which determine whether an argument is correct or not. What is logic? Reasoning is typically a human activity. There are inference rules which determine whether an argument is correct or not. Logic is the study of reasoning, in particular, the study of these inference rules. Example argumentAn example in physics in Physics An example in Linguistics Intelligence without representation* Rodney A. Brooks MIT Artificial Intelligence Laboratory, 545 Technology Square, Rm. 836, Cambridge, MA 02139, USA Received September 1987 Brooks, R.A., Intelligence without representation, Artificial Intelligence 47 (1991), 139–159. * This report describes research done at the Artificial Intelligence Laboratory of the Massachusetts Institute of Technology. Support for the research is provided in part by an IBM Faculty 9 Development Award, in part by a grant from the Systems Development Foundation, in part by the University Research Initiative under Office of Naval Research contract N00014-86-K-0685 and in part by the Advanced Research Projects Agency under Office of Naval Research contract N00014-85-K-0124. Abstract Artificial intelligence research has foundered on the issue of representation. When intelligence is approached in an incremental manner, with strict reliance on interfacing to the real world through perception and action, reliance on representation disappears. In this paper we outline our approach to incrementally building complete intelligent Creatures. The fundamental decomposition of the intelligent system is not into independent information processing units which must interface with each other via representations. Instead, the intelligent system is decomposed into independent and parallel activity producers which all interface directly to the world through perception and action, rather than interface to each other particularly much. The notions of central and peripheral systems evaporateeverything is both central and peripheral. Based on these principles we have built a very successful series of mobile robots which operate without supervision as Creatures in standard office environments. 1. Introduction • We must incrementally build up the capabilities of Artificial intelligence started as a field whose goal intelligent systems, having complete systems at was to replicate human level intelligence in a each step of the way and thus automatically ensure Intelligencemachine. without representation*that the pieces and their interfaces are valid. Early hopes diminished as the magnitude and • At each step we should build complete intelligent Rodneydifficulty A. Brooks of that goal was appreciated. Slow progress systems that we let loose in the real world with real was made over the next 25 years in demonstrating sensing and real action. Anything less provides a MIT Artificial Intelligence Laboratory, 545 Technology Square, Rm. 836, Cambridge, MA 02139, USA isolated aspects of intelligence. Recent work has candidate with which we can delude ourselves. Received tendedSeptember to concentrate1987 on commercializable aspects of Brooks, R.A.,"intelligent IntelligenceAn assistants" without example representation, for human workers.Artificial Intelligence 47in (1991), 139–159.WeArtificial have been following this approach and have built a series of autonomous mobile robots. We have * This reportNo describes one talks research about done replicating at the Artificial the Intelligence full gamut Laboratory of of thereached Massachusetts an unexpected Institute of Technology.conclusion Support(C) and for thehave a research ishuman provided intelligence in part by an any IBM more. FacultyIntelligence Instead 9 Development we see Award,a retreat in part by a grantrather from radical the Systems hypothesis Development (H). Foundation, in part by the University Research Initiative under Office of Naval Research contract N00014-86-K-0685 and in part by the Advanced Research Projects Agencyinto specialized under Office ofsubproblems, Naval Research suchcontract as N00014-85-K-0124. ways to Intelligencerepresent knowledge, without natural languagerepresentation* understanding, (C) When we examine very simple level intelligence Abstract vision or even more specialized areas such as truth we find that explicit representations and models maintenance systems or plan verification. All the of the world simply get in the way. It turns out ArtificialRodney intelligence A. Brooks research has foundered on the issue of representation. When intelligence is approached in an incremental manner, with strict reliancework on in interfacing these subareasto the real isworld benchmarked through perception against and theaction, reliance on representationto be better todisappears. use the worldIn this aspaper its ownwe outline model. our approachMITsorts Artificial to incrementallyofIntelligence tasks Laboratory, humans building 545 Technologycompletedo within Square, intelligent Rm.those 836, Creatures. Cambridge, areas. MAThe 02139, fundamental USA decomposition of the intelligent system is not into independent information processing units which must interface with each other via representations. Instead, the intelligent system is decomposedReceivedAmongst into September independent the 1987 dreamers and parallel still activityin the producers field of whichAI (those all interface directly(H) Representationto the world through is perceptionthe wrong and unit action, of abstractionrather than interfaceBrooks,not R.A., dreamingto Intelligenceeach other about without particularly dollars,representation, much.that Artificial is), The Intelligencethere notions is 47 aof (1991),feeling. central 139–159. and peripheral insystems building evaporateeverything the bulkiest is partsboth centralof intelligent and peripheral. Based on these principles we have built a very successful series of mobile robotssystems. which operate without supervision as Creatures in standard officethat one environments. day all these pieces will all fall into place * This report describes research done at the Artificial Intelligence Laboratory of the Massachusetts Institute of Technology. Support for the researchand is we provided will in seepart by"truly" an IBM Faculty intelligent 9 Development systems Award, emerge.in part by a grant from the Systems Development Foundation, in part by the University Research Initiative under Office of Naval Research contract N00014-86-K-0685 andRepresentation in part by the Advanced has beenResearch the central issue in artificial 1. IntroductionProjects Agency under Office of Naval Research contract N00014-85-K-0124. However, I, and others, believe that human level • We mustintelligence incrementally work over build the uplast the 15 capabilitiesyears only becauseof ArtificialAbstractintelligence intelligence is too started complex as anda field little whose understood goal to be intelligentit has provided systems, an havinginterface complete between otherwisesystems isolatedat Artificialcorrectly intelligence decomposed research has foundered into theon the right issue of subpiecesrepresentation. Whenat the intelligence is approachedmodules in an andincrementa conferencel manner, with papers. was tostrict reliancereplicate on interfacing human to the reallevel world throughintelligence perception and in action, a reliance on representationeach step disappears. of the In thisway paper and we outlinethus automatically ensure ourmoment approach to incrementallyand that evenbuilding ifcomplete we knewintelligent the Creatures. subpieces The fundamental we decomposition of the intelligent system is not into machine.independent information processing units which must interface with each other via representations.that the Instead,pieces the and intelligent their systeminterfaces is are valid. decomposedstill wouldn't into independent know and parallel the activity right producers interfaces which all interfacebetween directly to the world2. through The perception evolution and action, ratherof intelligence than interface to each other particularly much. The notions of central and peripheral systems evaporateeverything is both central and Earlyperipheral. them.hopes Based Furthermore, diminishedon these principles we weas willhave the built never amagnitude very understandsuccessful seriesand ofhow mobile to robots• whichAt operateeach withoutstep supervisionwe should as Creatures build in complete intelligent standard office environments. difficultydecompose of that goal human was levelappreciated. intelligence Slow until progress we've had a systemsWe that already we let loosehave inan the existence real world proof with realof, the was made1. lotIntroduction ofover practice the next with 25simpler years level in demonstratingintelligences. sensingpossibility and real of action. intelligent Anything entities: less provideshuman beings.a • We must incrementallyAdditionally, build up the many capabilities animals of are intelligent to some isolatedArtificial aspects intelligence of intelligence. started as a fieldRecent whose goalwork has intelligent systems,candidate having with complete which systemswe can atdelude ourselves. tendedwas to toconcentrateIn replicatethis paper human on commercializable I leveltherefore intelligence argue in aspects fora a ofdifferenteach step of the waydegree. and thus (This automatically
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