Дисертації з теми "Machine de turing"
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Chen, Yin Fu. "SIMTM turing machine simulator." CSUSB ScholarWorks, 1995. https://scholarworks.lib.csusb.edu/etd-project/1229.
Повний текст джерелаToister, Yanai. "Photography from the Turin Shroud to the Turing Machine." Thesis, The University of Sydney, 2015. http://hdl.handle.net/2123/14911.
Повний текст джерелаCapuni, Ilir. "A fault-tolerant Turing machine." Thesis, Boston University, 2013. https://hdl.handle.net/2144/13608.
Повний текст джерелаThe Turing machine is the most studied universal model of computation. This thesis studies the question if there is a Turing machine that can compute reliably even when violations of its transition function occur independently of each other with some small probability. In this thesis, we prove the existence of a Turing machine that - with a polynomial overhead - can simulate any other Turing machine, even when it is subject to faults of the above type, thereby answering the question that was open for 25 years.
Masum, Hassan Carleton University Dissertation Mathematics. "An exploration of turing machine based complexity." Ottawa, 1995.
Знайти повний текст джерелаMüller, Markus. "Quantum Kolmogorov complexity and the quantum turing machine." [S.l.] : [s.n.], 2007. http://opus.kobv.de/tuberlin/volltexte/2007/1655.
Повний текст джерелаKalyanasundaram, Subrahmanyam. "Turing machine algorithms and studies in quasi-randomness." Diss., Georgia Institute of Technology, 2011. http://hdl.handle.net/1853/42808.
Повний текст джерелаRendell, P. "Turing machine universality of the game of life." Thesis, University of the West of England, Bristol, 2014. http://eprints.uwe.ac.uk/22323/.
Повний текст джерелаShah, Huma. "Deception-detection and machine intelligence in practical Turing tests." Thesis, University of Reading, 2010. http://centaur.reading.ac.uk/24768/.
Повний текст джерелаTantau, Till. "On structural similarities of finite automata and turing machine enumerability classes." [S.l.] : [s.n.], 2003. http://edocs.tu-berlin.de/diss/2003/tantau_till.pdf.
Повний текст джерелаGirardot, Johan. "Toward higher-order and many-symbol infinite time Turing machines." Electronic Thesis or Diss., Institut polytechnique de Paris, 2024. http://www.theses.fr/2024IPPAX028.
Повний текст джерелаThis thesis studies infinite time Turing machines (ITTM) as developed by Hamkins and Lewis at the beginning of the years 2000. In particular, it aims at providing new generalizations of this model of infinite computation, or the tools and the results to develop those.A notable aspect of this model of infinite computation is that it is simple enough when compared to the usual finite model of Turing machines: an ITTM has the same structure as a three tapes Turing machine, it computes through the ordinals and at any successor stage, the next snapshot of the machine is a function of its machine code and the actual snapshot, as done in the classical setting. The only difference being that, at limit, tape heads are back on their first cells, the state is set to some distinguished limit state and the value of any cell is set to the limit superior of its previous values. While the choices for the heads and the states at limit stages may appear somewhat canonical, the principal justification for the rule of the limsup is actually a corroboration: with this rule, Hamkins and Lewis showed how this produces a robust, powerful and well-behaved model of infinite computation.So this work was focused on devising limit rules that would yield more powerful but equally well-behaved models of generalized infinite Turing machines.Most of the proofs done on ITTMs use a universal machine: an ITTM which simulates in parallel all other ITTMs. It happens to be straightforward to define such an universal ITTM.But its definition is only fortuitously straightforward. This construction rests on strong but implicit properties of the limsup rule. Hence, we exhibit a set of four properties satisfied by the limsup rule that allow us to define the more general concept of simulational machine: a model of infinite machines whose machines compute with a limit rule that satisfy this set of four properties, for which we prove that there exists a universal machine. The first main result is that the machines in this class of infinite machines satisfy (with two other constraints) an important equality satisfied by the usual ITTM, relating the time of computations and the ordinals that are writable.The second main result builds on the previous result. An immediate corollary is the following: there exists only two 2-symbol simulational and "well-behaved" model of ITTM; namely the limsup ITTM and the liminf ITTM. So, to produce higher-order machines, we need to consider n-symbols machine. And this is the second result: we construct a 3-symbol ITTM, strictly more powerful that the previous one and for which we establish the same set-theoretic results that were established for it
Wells, Andrew J. "The External Tape Hypothesis : a Turing machine based approach to cognitive computation." Thesis, London School of Economics and Political Science (University of London), 1994. http://etheses.lse.ac.uk/118/.
Повний текст джерелаYedidia, Adam. "A relatively small turing machine whose behavior is independent of set theory." Thesis, Massachusetts Institute of Technology, 2015. http://hdl.handle.net/1721.1/100680.
Повний текст джерелаCataloged from PDF version of thesis.
Includes bibliographical references (pages 79-80).
Since the definition of the Busy Beaver function by Radó in 1962, an interesting open question has been what the smallest value of n for which BB(n) is independent of ZFC. Is this n approximately 10, or closer to 1,000,000, or is it unfathomably large? In this thesis, I show that it is at most 340,943 by presenting an explicit description of a 340,943-state Turing machine Z with 1 tape and a 2-symbol alphabet whose behavior cannot be proved in ZFC, assuming ZFC is consistent. The machine is based on work of Harvey Friedman on independent statements involving order-invariant graphs. Ill In doing so, I give the first known upper bound on the highest provable Busy Beaver number in ZFC. I also present an explicit description of a 7,902-state Turing machine G that halts if and only if there's a counterexample to Goldbach's conjecture, and an explicit description of a 36,146-state Turing machine R that halts if and only if the Riemann hypothesis is false. In the process of creating G, R, and Z, I define a higher-level language, TMD, which is much more convenient than direct state manipulation, and explain in great detail the process of compiling this language down to a Turing machine description. TMD is a well-documented language that is optimized for parsimony over efficiency. This makes TMD a uniquely useful tool for creating small Turing machines that encode mathematical statements.
by Adam Yedidia
M. Eng.
Ахматов, Владислав Вікторович. "The evolution of artificial intelligence: from the Turing machine to Google DeepMind." Thesis, Київський національний університет технологій та дизайну, 2020. https://er.knutd.edu.ua/handle/123456789/15259.
Повний текст джерелаPINNA, SIMONE. "Extended cognition, dynamics, and algorithms. A turing machine based approach to the study of arithmetical skills." Doctoral thesis, Università degli Studi di Cagliari, 2014. http://hdl.handle.net/11584/266521.
Повний текст джерелаDe, La Cruz Anthony, Jaime Cardenas, and Leonardo Vinces. "Development of a Machine to Control the Level of Washing in Panca Chili Seeds." Universidad Peruana de Ciencias Aplicadas (UPC), 2021. http://hdl.handle.net/10757/653774.
Повний текст джерелаThe washing of Panca chili seeds requires innovative solutions that allow controlling this process. It is necessary to handle variables (conductivity, pH, colorimetry) in the face of the challenge of working with small seeds. At present, there are no machines that are dedicated to the washing of this type of seeds, since in many companies this work is done manually, which is not the one indicated because this technique cannot guarantee homogeneity in the seed washing. In addition, direct handling of this type of seeds can cause irritation to the eyes and skin of the person who maintains contact with the seeds. That is why, it is proposed to make a machine to scale by means of a motorized rotary agitator inside a tank, in order to guarantee the homogeneity of the mixture when washing seeds. The present work will allow to determine, among two different types of agitators (axial and radial), which type of agitator is the most efficient in the washing of seeds of Panca chili, to achieve this objective the measurement of pH and electrical conductivity to the water will be carried after the mixture, after stirring. Finally, the analysis of the tests performed on the mixture obtained and washed by each type of agitator allowed to identify the turbine-type radial agitator, like the one that obtained greater efficiency in the washing of seeds, with respect to the helical agitator and pallets, designed for development of this work, in turn, could also confirm that this type of palette with the conductivity control allows to guarantee the homogeneity of the mixture during washing. © 2021, The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerland AG.
Revisión por pares
Lima, Welton Dias de. "Computadores e mentes: uma analogia filosófica." Universidade do Vale do Rio dos Sinos, 2017. http://www.repositorio.jesuita.org.br/handle/UNISINOS/6692.
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O presente estudo teve o propósito de desenvolver uma revisão bibliográfica em um dos artigos mais importantes e polêmicos no campo da Ciência da Computação, “Computadores e Inteligência” (nome original: Computing Machinery and Intelligence). O texto foi escrito em 1950 por um dos maiores gênios da matemática, que mais tarde revolucionou o mundo, Alan Mathison Turing (1912-1954). A partir de sua percepção crítica, esse excelente trabalho científico contribuiu significativamente para o desenvolvimento do computador digital e também deu início aos primeiros passos para os estudos sobre Inteligência Artificial. A pesquisa teve como objetivos investigar os motivos que levaram Turing a escrever o artigo, destacar as principais contribuições do artigo aos diversos campos do conhecimento, fazer um estudo pormenorizado sobre a pergunta áurea do artigo “Pode uma máquina pensar?” e compreender as principais objeções filosóficas a sua posição. Após análise, constata-se que o artigo escrito por Turing está em dividido em três partes: (i) o jogo da Imitação e o computador digital; (ii) objeções filosóficas à inteligência artificial e, por último, (iii) máquinas que aprendem. Destarte, justifica-se o desenvolvimento da pesquisa na sistematização e compreensão do tema escolhido a partir da Filosofia da Mente. A importância do tema se mostra no interesse significativo da área da filosofia pelos questionamentos realizados, oriundos da área da inteligência artificial. Essas indagações refletem os interesses antagônicos dos pesquisadores em IA. As respostas a essas questões dependem de como é definido "inteligência" ou "consciência" e exatamente que ‘máquinas’ estão sob discussão. Para melhor compreensão do assunto, serão analisados os argumentos de John Turing, John Searle, entre outros pensadores.
The present paper offers a bibliographic review of one of the most important and controversial articles in the field of Computer Science, "Computers and Intelligence" (original title: Computing Machinery and Intelligence). The text was written in 1950 by one of the greatest mathematical geniuses who later revolutionized the world, Alan Mathison Turing (1912-1954). Turing’s excellent scientific work contributed significantly to the development of the digital computer and also gave rise to the first steps in the studies on Artificial Intelligence. The paper investigates the reasons that led Turing to write the article, highlights the main contributions of the article to various fields of knowledge, and provides a critical analysis of Turing’s answer to the question "Can a machine think?". My analysis reveals that Turing’s article can be divided into three parts: (i) the game of Imitation and the digital computer; (ii) philosophical objections and finally (iii) learning machines. Inquiries on these questions justified the development of the research in the uniformization and understanding of key issues in the Philosophy of the Mind. These inquiries reflect the opposing interests of AI researchers, as the answers to these questions depend on how "intelligence" or "consciousness" is defined and what exactly are the "machines" under discussion. For a better understanding of the subject, the arguments of Turing, John Searle, and other thinkers will be used.
Siska, Josef. "Simulátor Turingových strojů popsaných pomocí kompozitních diagramů." Master's thesis, Vysoké učení technické v Brně. Fakulta informačních technologií, 2014. http://www.nusl.cz/ntk/nusl-236100.
Повний текст джерелаAl-Shihi, Hamda D. A. "A transdisciplinary study of embodiment in HCI, AI and New Media." Thesis, University of Bradford, 2012. http://hdl.handle.net/10454/6330.
Повний текст джерелаMinistry of Higher Education in the Sultanate of Oman
Al-Shihi, Hamda Darwish Ali. "A transdisciplinary study of embodiment in HCI, AI and New Media." Thesis, University of Bradford, 2012. http://hdl.handle.net/10454/6330.
Повний текст джерелаKajan, Dušan. "Výpočetní historie Turingových strojů a jejich generování gramatikami s rozptýleným kontextem." Master's thesis, Vysoké učení technické v Brně. Fakulta informačních technologií, 2015. http://www.nusl.cz/ntk/nusl-264935.
Повний текст джерелаKrebs, Peter R. History & Philosophy of Science UNSW. "Turing machines, computers and artificial intelligence." Awarded by:University of New South Wales. History & Philosophy of Science, 2002. http://handle.unsw.edu.au/1959.4/19053.
Повний текст джерелаDavidsdottir, Agnes. "Algorithms, Turing machines and algorithmic undecidability." Thesis, Uppsala universitet, Algebra och geometri, 2021. http://urn.kb.se/resolve?urn=urn:nbn:se:uu:diva-441282.
Повний текст джерелаLin, Jack Chen-Hung. "Structural properties of one-tape Turing machines." Thesis, University of Ottawa (Canada), 2002. http://hdl.handle.net/10393/6125.
Повний текст джерелаLiron, Romain. "Approche écologique dans la conception d’outils cognitifs dans le domaine administratif : application à l’artisanat du bâtiment." Thesis, Lorient, 2016. http://www.theses.fr/2016LORIL391/document.
Повний текст джерелаThis work adopts the cognitive engineering framework for the design and evaluation of cognitive tools interfaces in the administrative handicraft field. This framework relies on an ecological approach of work systems. The objectives of this work were twofold. First, it consisted in showing the heuristic value of the ecological approach. Second, we aimed at proposing a user interface for a mobile digital cognitive tool assisting administrative tasks. More precisely, we proposed to consolidate the work domain analysis framework by considering some of the more complex characteristics to model, that is to say recursion and the ethical dimension. Afterwards, we tested a recent method named “Turing Machine Task Analysis” to validate and verify the work domain model. We also proposed a new verification and validation method for work domain model, named “viewpoints method”. Based on a modeling of the administrative handicraft domain, we tested several user interface mockups for a cognitive tool. This experiment permitted us to measure the degree of application of the Ecological Interface Design principles. Finally, we proposed and tested a final mockup for craftsmen
Hladík, Zdeněk. "Multidimensionální automaty a jejich jazyky." Master's thesis, Vysoké učení technické v Brně. Fakulta informačních technologií, 2017. http://www.nusl.cz/ntk/nusl-363808.
Повний текст джерелаDubovský, Dávid. "Analýza rizik nástrojářské dílny." Master's thesis, Vysoké učení technické v Brně. Fakulta strojního inženýrství, 2015. http://www.nusl.cz/ntk/nusl-232113.
Повний текст джерелаMichel, Pascal. "Etude de machines de turing et complexite algorithmique." Paris 7, 1992. http://www.theses.fr/1992PA077129.
Повний текст джерелаRenuka, Shivaswaroop R. "Development of models of CNC machines - EMCO VMC100 and EMCO TURN120P in virtual NC." Ohio : Ohio University, 1996. http://www.ohiolink.edu/etd/view.cgi?ohiou1178046654.
Повний текст джерелаGoutefangea, Patrick. "Alan Turing : La "pensée" des machines et l'idée de pratique." Nantes, 1999. http://www.theses.fr/1999NANT3003.
Повний текст джерелаThe plausibility of an equivalence, enunciated through the + church-turing's thesis ;, between effective procedure of calculus and mechanical procedure, is built on the possibility, for a + universal machine ;, to simulate the intuitive conditions of calculating for a human being. In that sense, the universal machine refers to man not only as he calculates, but also as he is its creator : the machine must be able to simulate the conditions of its own building. Establishing such a possibility is the role of the + imitation game ; proposed by turing. According to turing, a human individual can be surprised during the imitation game by the machine. Furthermore he does not have any means to distinguish the kind of surprise he feels in that case from the one he is expecting from a human individual about which he postulates that he is thinking. During the game, the human adversary of the machine is led to act as if the machine was for him a fellow creature, i. E. Another people. In this way, the machine's victory hypothesis requires the problematic which, from a kantian point of view, governs the study of the conditions of possibility to recognize not only another mind, but another people. A human individual is defeated during the imitation game because he tends to raise his mechanical adversary to the dignity of the kantian subject. Within the frame of the experiment imaginated by turing, the idea of subject takes sense as a necessary moment of the enunciation-communication process. In other words, the turing's hypothesis leads to state the primacy of the enunciation-communication process on the subject. The kantian idea of practice is altered : it takes part to the elaboration of the enunciation-communication process, but it does it through the human error. Then, it is through the critics of its own history that the philosophical idea of practice can explicit the enunciation-communication process. The idea of practice refers to the dynamics of its own criticizing
Atger, Dominique. "A Turing machines simulator using a Microsoft Windows' interface." Virtual Press, 1993. http://liblink.bsu.edu/uhtbin/catkey/865965.
Повний текст джерелаDepartment of Computer Science
Wang, Zhanchen. "Chatter analysis of machine tool systems in turning processes." Thesis, National Library of Canada = Bibliothèque nationale du Canada, 2001. http://www.collectionscanada.ca/obj/s4/f2/dsk3/ftp05/NQ63715.pdf.
Повний текст джерелаDalle, Vedove Nosaki Gregorio. "Chaos and Turing Machines on Bidimensional Models at Zero Temperature." Thesis, Bordeaux, 2020. http://www.theses.fr/2020BORD0309.
Повний текст джерелаIn equilibrium statistical mechanics or thermodynamics formalism one of the main objectives is to describe the behavior of families of equilibrium measures for a potential parametrized by the inverse temperature. Here we consider equilibrium measure as the shift invariant measures that maximizes the pressure. Other constructions already prove the chaotic behavior of these measures when the system freezes, that is, when the temperature goes to zero. One of the most important examples was given by Chazottes and Hochman. They prove the non-convergence of the equilibrium measures for a locally constant potential when the dimension is bigger then 3. In this work we present a construction of a bidimensional example described by a finite alphabet and a locally constant potential there exists a sequence eta_k where the non-convergence occurs for any sequence of equilibrium measures at inverse of temperature eta_k when the temperature goes to zero. For that we use the construction described by Aubrun and Sablik which improves the result of Hochman used in the construction of Chazottes and Hochman
Van, den Berg Gideon. "Hidden Markov models for tool wear monitoring in turning operations." Diss., Pretoria : [s.n.], 2004. http://upetd.up.ac.za/thesis/available/etd-05302005-114238/.
Повний текст джерелаSong, Sukhan. "Intelligent machining control for turning process /." Digital version accessible at:, 1998. http://wwwlib.umi.com/cr/utexas/main.
Повний текст джерелаUlmer, Bernard C. Jr. "Fabrication and calibration of an open architecture diamond turning machine." Thesis, Georgia Institute of Technology, 1997. http://hdl.handle.net/1853/17120.
Повний текст джерелаLongo, Eugenio. "AI e IoT: contesto e stato dell’arte." Bachelor's thesis, Alma Mater Studiorum - Università di Bologna, 2022.
Знайти повний текст джерелаAtmadi, Alexander. "Cutting fluid aerosol from splash in turning : analysis for environmentally conscious machining." Thesis, Georgia Institute of Technology, 2000. http://hdl.handle.net/1853/19603.
Повний текст джерелаChiou, Yunshun. "Acoustic emission dynamics in turning with tool wear and chatter." Diss., Georgia Institute of Technology, 1995. http://hdl.handle.net/1853/17990.
Повний текст джерелаKnuefermann, Markus M. W. "Machining surfaces of optical quality by hard turning." Thesis, Cranfield University, 2003. http://dspace.lib.cranfield.ac.uk/handle/1826/131.
Повний текст джерелаMedaska, Michael Kenneth. "The measurement of temperatures and forces in a turning operation with cutting fluid." Thesis, Georgia Institute of Technology, 1998. http://hdl.handle.net/1853/15983.
Повний текст джерелаCheng, Hsiang-Nan, and Hsiang-Nan Cheng. "Diamond Turning Properties of Plastic Optical Materials." Thesis, The University of Arizona, 2017. http://hdl.handle.net/10150/625700.
Повний текст джерелаThathachar, Jayram S. "Time-space tradeoffs and functional representations via branching programs and their generalizations /." Thesis, Connect to this title online; UW restricted, 1998. http://hdl.handle.net/1773/6951.
Повний текст джерелаSims, Pauline. "Turing's P-type machine and neural network hybrid systems." Thesis, University of Ulster, 1994. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.240712.
Повний текст джерелаDawson, Ty Grant. "Effects of cutting parameters and tool wear in hard turning." Thesis, Georgia Institute of Technology, 1999. http://hdl.handle.net/1853/17816.
Повний текст джерелаCampbell, Robert David James. "Information processing in microtubules." Thesis, Queensland University of Technology, 2002.
Знайти повний текст джерелаMa, David Chih-Yan. "Design and implementation of a rotary fast tool servo for a turning machine." Thesis, Massachusetts Institute of Technology, 1998. http://hdl.handle.net/1721.1/9594.
Повний текст джерелаIncludes bibliographical references (p. 149-151).
In this thesis we describe the design and implementation of a rotary fast tool servo (RFTS) in a machine tool for turning ophthalmic lenses. To machine nonrotationally symmetric lenses, the cutting tool on the RFTS must move synchronously with the spindle rotation. Therefore, to cut a lens at high spindle speeds, the cutting tool must be capable of extremely high accelerations. In our design we mount the cutting tool at the end of a rotary arm. This allows us to achieve higher accelerations and lower vibrations than conventional fast tool servos. This thesis describes the development of the RFTS, including component selection and testing. We also detail the design and fabrication of the RFTS that is installed in a prototype turning machine.
by David Chih-Yan Ma.
S.M.
Durand, Bruno. "Automates cellulaires : réversibilité et complexité." Lyon 1, 1994. http://www.theses.fr/1994LYO10030.
Повний текст джерелаBhatt, Dhruv. "Economic Dispatch of the Combined Cycle Power Plant Using Machine Learning." Thesis, KTH, Skolan för elektroteknik och datavetenskap (EECS), 2019. http://urn.kb.se/resolve?urn=urn:nbn:se:kth:diva-266110.
Повний текст джерелаKombicykelkraftverk spelar en nyckelroll i det moderna elsystemet pågrund av den låga investeringskostnaden, den korta tiden för att byggaett nytta kraftverk och hög flexibilitet jämfört med andra kraftverk.Elproduktionssystemen förändras i takt med en allt större andel förnybarelproduktion. Det som en gång var ett tydligt definierat flödefrån produktion via transmission till distribution ändrar nu karaktärtill fluktuerande, distribuerad generering. På grund av variationernai elproduktion från förnybara energikällor finns ett ökat behov avatt kombicykelkraftverk varierar sin elproduktion för att upprätthållabalansen mellan produktion och konsumtion i systemet. Kombicykelkraftverkbehöver startas och stoppas oftare. Detta medför mer stresspå gasturbinen och som ett resultat påverkas underhållsintervallerna.Syftet med detta examensarbete är att utveckla en algoritm för korttidsplaneringav ett kombicykelkraftverk där även driften på lång siktbeaktas. Begränsningarna på lång sikt utgår från underhållsintervallenför gasturbinerna. Dessa långsiktiga begränsningar definieras som antaletekvivalenta drifttimmar och ekvivalenta driftcykler för det aktuellakraftverket. Kombikraftverket drivs på den öppna elmarknaden.Det består av två SGT-800 GT och en SST-600 ångturbin. Det främstamålet med examensarbetet är att maximera den totala vinsten förkraftverket. Ett sekundärt mål är att utveckla metamodeller för attskatta använda ekvivalenta drifttimmar och ekvivalenta driftcyklerunder planeringsperioden.Siemens Industrial Turbo-machinery AB (SIT AB) har installeratsensorer som samlar in data från gasturbinerna. Maskininlärningsteknikerhar tillämpats på sensordata för att konstruera kurvor för attuppskatta värmetillförseln och avgasvärme. Resultaten visar en potentiellbesparing i bränsleförbrukningen om de sammanlagda ekvivalentadrifttimmarna och de sammanlagda ekvivalenta driftcyklernabegränsas under planeringsperioden. Det framhålls dock också att detfinns viktiga förbättringar som behövs innan korttidsplaneringsalgoritmenkan kommersialiseras.
Purarjomandlangrudi, Afrooz. "Application of machine learning technique in wind turbine fault diagnosis." Thesis, Queensland University of Technology, 2014. https://eprints.qut.edu.au/70624/2/Afrooz_Purarjomandlangrudi_Thesis.pdf.
Повний текст джерелаAraújo, Anderson. "Uma abordagem modelo-teórica da computabilidade de Turing clássica." [s.n.], 2011. http://repositorio.unicamp.br/jspui/handle/REPOSIP/281062.
Повний текст джерелаTese (doutorado) - Universidade Estadual de Campinas, Instituto de Filosofia e Ciências Humanas
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Resumo: Esta tese propõe uma nova abordagem da computabilidade de Turing clássica, denominada abordagem modelo-teórica. De acordo com essa abordagem, estruturas e teorias são associadas às máquinas de Turing a fim de investigar as características de suas computações. Uma abordagem modelo-teórica da computabilidade de Turing através da lógica de primeira ordem é desenvolvida, e resultados de correspondência, correção, representação e completude entre máquinas, estruturas e teorias de Turing são demonstrados. Nessa direção, os resultados obtidos a respeito de propriedades tais como estabilidade, absoluticidade, universalidade e logicidade enfatizam as potencialidades da computabilidade modelo-teórica de primeira ordem. Demonstra-se que a lógica subjacente às teorias de Turing é uma lógica minimal intuicio-nista, sendo capaz, inclusive, de internalizar um operador de negação clássico. As técnicas formuladas nesta tese permitem, sobretudo, investigar a computabilidade de Turing em modelos não-padrão da aritmética. Nesse contexto, uma nova perspectiva acerca do fenômeno de Tennenbaum e uma avaliação crítica da abordagem de Dershowitz e Gurevich da tese de Church-Turing sào apresentadas. Como conseqüência, postula-se um princípio de interna-lidade aritmética na computabilidade, segundo o qual o próprio conceito de computação é relativo ao modelo aritmético em que as máquinas de Turing operam. Assim, a tese unifica as caracterizações modelo-aritméticas do problema P versus NP existentes na literatura, revelando, por fim, uma barreira modelo-aritmética para a possibilidade de solução desse problema central em complexidade computacional no que diz respeito a certos métodos. Em sua totalidade, a tese sustenta que características cruciais do conceito de computação podem ser vislumbradas a partir da dualidade entre finitude e infinitude presente na distinção entre números naturais padrão e não-padrão
Abstract: This PhD thesis proposes a new approach to classical Turing computability, called a model-theoretic approach. In that approach, structures and theories are associated to Turing machines in order to study the characteristics of their computations. A model-theoretic approach to Turing computability through first-order logic is developed, and first results about correspondence, soundness, representation and completeness among Turing machines, structures and theories are proved. In this line, the results about properties as stability, absoluteness, universality and logicality emphasize the importance of the model-theoretic standpoint. It is shown that the underlying logic of Turing theories is a minimal intuicionistic logic, being able to internalize a classical negation operator. The techniques obtained in the present dissertation permit us to examine the Turing computability over nonstandard models of arithmetic as well. In this context, a new perspective about Tennenbaum's phenomenon and a critical evaluation of Dershowitz and Gurevich's account on Church-Turing's thesis are given. As a consequence, an arithmetic internality principle is postulated, according to which the concept of computation itself is relative to the arithmetic model that Turing machines operate. In this way, the dissertation unifies the existing model-arithmetic characterizations of the P versus NP problem, leading, as a by-product, to a model-arithmetic barrier to the solvability of that central problem in computational complexity with respect to certain techniques. As a whole, the dissertation sustains that crucial characteristics of the concept of computation may be understood from the duality between finiteness and infiniteness inherent within the distinction between standard and nonstandard natural numbers
Doutorado
Filosofia
Doutor em Filosofia