Dissertations / Theses on the topic 'Forms'
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Ghitza, Alexandru Edgar 1976. "Siegel modulator form (mod p) and algebraic modular forms." Thesis, Massachusetts Institute of Technology, 2003. http://hdl.handle.net/1721.1/29346.
Full textIncludes bibliographical references (p. 101-104) and index.
In his letter [Ser96], J.-P. Serre proves that the systems of Hecke eigenvalues given by modular forms (mod p) are the same as the ones given by locally constant functions ... , where B is the endomorphism algebra of a supersingular elliptic curve. After giving a detailed exposition of Serre's result, we prove that the systems of Hecke eigenvalues given by Siegel modular forms (mod p) of genus g are the same as the ones given by algebraic modular forms (mod p) on the group GUg(B), as defined in [Gro99] and [Gro98]. The correspondence is obtained by restricting to the superspecial locus of the moduli space of abelian varieties.
by Alexandru Edgar Ghitza.
Ph.D.
de, Quehen Victoria. "Jacobi forms." Thesis, McGill University, 2011. http://digitool.Library.McGill.CA:80/R/?func=dbin-jump-full&object_id=103757.
Full textEn plus d'expliquer la soulevement Saito-Kurokawa, le livre d'Eichler et Zagier donne les theoremes principaux sur la structure des formes de Jacobi pour le sous-groupe modulaire complet. Depuis, de nombreux travaux publies generalisent ces resultats differentes sortes de formes de Jacobi, mais tres peu de travail a ete effectu en vue de generaliser la theorie des formes de Jacobi pour les sous-groupes de congruence. Une grande partie de cette these visera a generaliser les conclusions du livre d'Eichler-Zagiera des formes de Jacobi pour les sous-groupes de congruence. En particulier, nous decrirons la structure de l'espace Jacobi-Eisenstein du sous-groupe de congruence Gamma(N). Nous trouverons egalement une borne au nombre de coefficients de Fourier necessaires pour determiner une forme de Jacobi d'un sous-groupe de congruence. La derniere partie de ce travail portera sur la theorie des series theta et la theorie correspondante de la serie theta de Jacobi. Le probleme central pour cette these est de trouver une base pour l'espace des formes de Jacobi relativement aux sous-groupes de congruence.
Woxinger, Sköld Linnea. "Life Forms." Thesis, Högskolan i Borås, Institutionen Textilhögskolan, 2013. http://urn.kb.se/resolve?urn=urn:nbn:se:hb:diva-17101.
Full textProgram: Modedesignutbildningen
Tomaino, Louis Sherman. "Programmable forms." Thesis, Massachusetts Institute of Technology, 1988. http://hdl.handle.net/1721.1/78084.
Full textNardi, Nathan J. "Questionable Forms." Kent State University / OhioLINK, 2009. http://rave.ohiolink.edu/etdc/view?acc_num=kent1248096510.
Full textMock, Janelle Marie Tullis. "Earth Forms." BYU ScholarsArchive, 2010. https://scholarsarchive.byu.edu/etd/2204.
Full textBump, Rickey P. "Meta-forms." Digital Commons @ East Tennessee State University, 2016. https://dc.etsu.edu/etd/3056.
Full textRisner, Maria. "Undesirable Forms." Digital Commons @ East Tennessee State University, 2018. https://dc.etsu.edu/etd/3427.
Full textBrady, Mark James. "Psychophysical investigations of incomplete forms and forms with background /." Diss., ON-CAMPUS Access For University of Minnesota, Twin Cities Click on "Connect to Digital Dissertations", 1999. http://www.lib.umn.edu/articles/proquest.phtml.
Full textSchindler, Damaris. "On diophantine equations involving norm forms and bihomogeneous forms." Thesis, University of Bristol, 2013. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.601162.
Full textAoki, Hiroki. "Estimating Siegel Modular Forms of Genus 2 Using Jacobi Forms." 京都大学 (Kyoto University), 1999. http://hdl.handle.net/2433/86371.
Full textWang, Haowu. "Reflective modular forms and Weyl invariant E8 Jacobi modular forms." Thesis, Lille 1, 2019. http://www.theses.fr/2019LIL1I028/document.
Full textThis thesis consists of two independent parts. In the first part we develop an approach based on the theory of Jacobi forms of lattice index to classify reflective modular forms on lattices of arbitrary level. Reflective modular forms have applications in algebraic geometry, Lie algebra and arithmetic. The classification of reflective modular forms is an open problem and has been investigated by Borcherds, Gritsenko, Nikulin, Scheithauer and Ma since 1998. In this part, we establish new necessary conditions for the existence of a reflective modular form. We prove non-existence of reflective modular forms and 2-reflective modular forms on lattices of large rank. We also give a complete classification of 2-reflective modular forms on lattices containing two hyperbolic planes. The second part is devoted to the study of Weyl invariant $E_8$ Jacobi forms. This type of Jacobi forms has significance in Frobenius manifolds, Gromov--Witten theory and string theory. In 1992, Wirthm\"{u}ller proved that the space of Jacobi forms for any irreducible root system not of type $E_8$ is a polynomial algebra. But very little has been known about the case of $E_8$. In this paper we show that the bigraded ring of Weyl invariant $E_8$ Jacobi forms is not a polynomial algebra and prove that every such Jacobi form can be expressed uniquely as a polynomial in nine algebraically independent Jacobi forms introduced by Sakai with coefficients which are meromorphic $\SL_2(\ZZ)$ modular forms. The latter result implies that the space of Weyl invariant $E_8$ Jacobi forms of fixed index is a free module over the ring of $\SL_2(\ZZ)$ modular forms and that the number of generators can be calculated by a generating series. We determine and construct all generators of small index. These results give a proper extension of the Chevalley type theorem to the case of $E_8$
Shepler, Anne V. "Semi-invariant forms /." Diss., Connect to a 24 p. preview or request complete full text in PDF format. Access restricted to UC campuses, 1999. http://wwwlib.umi.com/cr/ucsd/fullcit?p9936834.
Full textReid, Joshua. "Forms of Translation." Digital Commons @ East Tennessee State University, 2019. https://www.amzn.com/3110443678.
Full textAlbhbah, Atia M. "Dynamic web forms development using RuleML. Building a framework using metadata driven rules to control Web forms generation and appearance." Thesis, University of Bradford, 2013. http://hdl.handle.net/10454/5719.
Full textStromenger, Christian [Verfasser]. "Sasakian manifolds : differential forms, curvature and conformal killing forms / Christian Stromenger." Köln : Universitäts- und Stadtbibliothek Köln, 2010. http://d-nb.info/101380564X/34.
Full textMartin, James D. (James Dudley). "Rankin-Cohen Brackets for Hermitian Jacobi Forms and Hermitian Modular Forms." Thesis, University of North Texas, 2016. https://digital.library.unt.edu/ark:/67531/metadc955117/.
Full textGeldenhuys, Natasjia. "The language of forms: A discourse analysis of municipal application forms." University of the Western Cape, 2019. http://hdl.handle.net/11394/6952.
Full textThis thesis focuses on the genre of municipal documents (application forms) and the variety of written and visual languages that make up their corpus to reveal the various lexical semantics used in the forms as communication tool between individuals and the larger organisations. It was important to review not only how other researchers have dissected such documents, but also what they have used to study their corpus. The thesis also provides a thorough overview of literature pertaining to forms from the municipal and governmental sector as it relates to social semiotics, genre, corporate identity, branding and multimodality. As there was not enough empirical data or research from the African or non-European perspective, a wider literature review was needed to enable me to use a number of complimentary models that could fit the study area. Drawing on a theoretical framework based on the fields of Social Semiotics (Kress 2010; 2014), Applied Linguistics (Brumfit 1996) and Visual Communication (Tam 2008) as well as analytical tools like the genre and multimodality model (GeM), as described in Bateman (2008) and the grammar of visual design (Kress and Van Leeuwen, 2006), branding and language ideology, the study offers an analysis of the language of particular forms used widely by the City of Cape Town (CCT). The language of forms in essence is as unique as a dialogue held between two people to obtain information. Misunderstanding and communication can easily occur if the questions and sections are not formulated correctly. Although both the textual and visual modes were investigated, the aim was to uncover the corpora used on forms with which a basic set of standard words, phrases and sentences could be designed. If the language of forms in a particular organisation like the CCT can be standardised, the amount of effort on the language practitioners will decrease, and the textual components can be made available in all three of the official languages (Afrikaans, isiXhosa and English) in as simple a language structure as possible.
Albhbah, Atia Mahmod. "Dynamic web forms development using RuleML : building a framework using metadata driven rules to control Web forms generation and appearance." Thesis, University of Bradford, 2013. http://hdl.handle.net/10454/5719.
Full textRakotoary, Sarah. "Dynamiques infocommunicationnelles d’une communauté connectée : une analyse des formes socioculturelles de la diaspora malgache présente sur Facebook." Thesis, Université Grenoble Alpes (ComUE), 2018. http://www.theses.fr/2018GREAL016.
Full textThis research focuses on the infocommunicationnal practices of Malagasy connected diaspora. Indeed its uses of social networks are characterised by their need to maintain relationships with their home country but also with their host country. Malagasy diaspora has clearly invested a social network which is Facebook, where online forms of socialisation appear. Some members of the worldwide malagasy diaspora join Facebook groups in order to exchange, to inform or to keep in touch. These groups become a true reflect of online and offline social practices. Our research is about the understanding of the social appropriation process of the social network considered as a sociotechnical device. The social network supports sociocultural forms ; our work aims at identifying how these online and offline forms allow the construction of a connected community. The aim of this thesis is to explore the « social anchoring » of a technical device in a transnational community, and to understand its technical reality regarding social marks produced by users
Ladd, Watson Bernard. "Algebraic Modular Forms on SO5(Q) and the Computation of Paramodular Forms." Thesis, University of California, Berkeley, 2018. http://pqdtopen.proquest.com/#viewpdf?dispub=10817152.
Full textThis dissertation describes a result that compares two level subgroups on different inner forms of GSp(4), and then uses this result and a conjecture of Ibukiyama’s to compute paramodular forms for all prime levels below 400. In the process 78 generic forms were computed, of which 47 had not been previously computed.
Edvardsson, Elisabet. "Modular forms for triangle groups." Thesis, Karlstads universitet, Institutionen för matematik och datavetenskap (from 2013), 2017. http://urn.kb.se/resolve?urn=urn:nbn:se:kau:diva-47984.
Full textOliveira, Junior Mauro Ribeiro de. "Um teorema de Witt sobre a imersão de extensões bioquadraticas em quaternionicas." [s.n.], 2006. http://repositorio.unicamp.br/jspui/handle/REPOSIP/306530.
Full textDissertação (mestrado) - Universidade Estadual de Campinas, Instituto de Matematica, Estatistica e Computação Cientifica
Made available in DSpace on 2018-08-06T01:37:33Z (GMT). No. of bitstreams: 1 OliveiraJunior_MauroRibeirode_M.pdf: 283417 bytes, checksum: ed6ca467b6f01b1fd631b10cca398846 (MD5) Previous issue date: 2006
Resumo: Neste trabalho seguimos, nos quatro primeiros capítulos, para a construção efetiva de extensões quaterniônicas, a partir do acúmulo de informações obtidas nos capítulos iniciais 1 e 2, sobre a estrutura dos subcorpos intermediários a uma extensão deste tipo, conhecimentos quais são obtidos pela atuação forte da Teoria de Galois, uma vez que é muito bem conhecida a estrutura de subgrupos do grupos dos Quatérnios. Finalmente, em posse dos resultados e caracterizações dos capítulos precedentes, juntamente aos resultados que relacionam formas quadráticas e álgebras quaterniônicas, no capítulo 6 demonstramos o Critério de Witt, que acerta sobre a imersão de extensões biquadráticas em quaterniônicas. Deste critério obtemos um importante resultado de interesse da Teoria dos Números, uma nova caracterização dos números racionais que são somas de três quadrados
Mestrado
Algebra
Mestre em Matemática
Bogliolo, Elena. "Classification of quadratic forms over Q." Bachelor's thesis, Alma Mater Studiorum - Università di Bologna, 2021. http://amslaurea.unibo.it/23716/.
Full textBallantine, Cristina M. "Hypergraphs and automorphic forms." Thesis, National Library of Canada = Bibliothèque nationale du Canada, 1998. http://www.collectionscanada.ca/obj/s4/f2/dsk1/tape11/PQDD_0010/NQ41398.pdf.
Full textFung, Tak-kit. "Teaching the -ing forms." Click to view the E-thesis via HKUTO, 1986. http://sunzi.lib.hku.hk/HKUTO/record/B38626408.
Full textChambers, J. K. "Molecular forms of tachykinins." Thesis, University of Cambridge, 1989. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.334079.
Full textSnaith, Daniel Victor. "Overconvergent Siegel modular forms." Thesis, Imperial College London, 2005. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.420391.
Full textAlvin, Yeoh Chong Yeow. "Nucleation of polymorphic forms." Thesis, University of Manchester, 2008. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.498979.
Full textLoeffler, David. "Overconvergent algebraic automorphic forms." Thesis, Imperial College London, 2008. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.487962.
Full textFung, Tak-kit, and 封德傑. "Teaching the -ing forms." Thesis, The University of Hong Kong (Pokfulam, Hong Kong), 1986. http://hub.hku.hk/bib/B38626408.
Full textWhaley, Christopher S. "Sculptural forms and furniture." Virtual Press, 2001. http://liblink.bsu.edu/uhtbin/catkey/1204204.
Full textDepartment of Art
SALEK, ANA TEREZA MUYLAERT. "POETICAL FORMS OF RUINS." PONTIFÍCIA UNIVERSIDADE CATÓLICA DO RIO DE JANEIRO, 2014. http://www.maxwell.vrac.puc-rio.br/Busca_etds.php?strSecao=resultado&nrSeq=24566@1.
Full textCOORDENAÇÃO DE APERFEIÇOAMENTO DO PESSOAL DE ENSINO SUPERIOR
PROGRAMA DE SUPORTE À PÓS-GRADUAÇÃO DE INSTS. DE ENSINO
Na dissertação cartografa-se distintos modos com que a escrita e, num sentido mais amplo, as artes, se relacionam com a noção de ruína. Parte-se do ponto de tensão entre ruir e criar a fim de explorar o paradoxo de que nos fala Maurice Blanchot em O espaço Literário: a literatura se edifica a partir de suas próprias ruínas. Detendo o gesto cartográfico em uma região particular, tomo algumas obras do escritor e artista visual Nuno Ramos como ocasião favorável para refletir sobre a relação entre destruição e criação na fronteira entre escrita e linguagem visual. O trabalho segue dois eixos que se querem recíprocos, não hierárquicos: no primeiro eixo acentua-se a parte teórico-crítica da pesquisa. No segundo, apresenta-se poemas e outros textos pessoais, escritos que, produzidos ao longo da pesquisa, fazem parte da reflexão.
In this dissertation I cartograph distinct ways in which writing and, in a broader sense, the arts, relate to the notion of ruin. I begin at the point of tension between collapse and creation, to explore the paradox Maurice Blanchot speaks of in The Literary Space: Literature is built upon its own ruins. Holding the cartographic gesture in a particular region, I review works of the writer and visual artist Nuno Ramos as a favorable occasion to reflect on the relationship between destruction and creation on the border between written and visual language. The work follows two reciprocal axes, non-hierarchical: the first axis is emphasizes the theoretical and critical part of the research. In the second, it presents poems and other personal texts, writings produced during the research, and that are part of the reflection.
Beadle, Paul Michael. "Processable forms of polypyrrole." Thesis, University of Sussex, 1995. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.262179.
Full textTennberg, Hannes. "WOODEN : in other forms." Thesis, Konstfack, Inredningsarkitektur & Möbeldesign, 2018. http://urn.kb.se/resolve?urn=urn:nbn:se:konstfack:diva-6347.
Full textNemesh, V., Тетяна Володимирівна Початко, Татьяна Владимировна Початко, and Tetiana Volodymyrivna Pochatko. "Most effective advertising forms." Thesis, Sumy State University, 2020. https://essuir.sumdu.edu.ua/handle/123456789/78069.
Full textCox, Alexander Todd. "Life In Imperfect Forms." Kent State University / OhioLINK, 2011. http://rave.ohiolink.edu/etdc/view?acc_num=kent1302452721.
Full textPoehler, Sabine. "Two additive quartic forms." [S.l. : s.n.], 2007. http://nbn-resolving.de/urn:nbn:de:bsz:93-opus-31822.
Full textKhare, Chandrashekhar B. Hida Takeyuki. "Congruences between cusp forms /." Diss., Pasadena, Calif. : California Institute of Technology, 1995. http://resolver.caltech.edu/CaltechETD:etd-10122007-073759.
Full textSenadheera, Jayantha. "Hermitian Jacobi Forms and Congruences." Thesis, University of North Texas, 2014. https://digital.library.unt.edu/ark:/67531/metadc700083/.
Full textSkoruppa, Nils-Peter. "Über den Zusammenhang zwischen Jacobiformen und Modulformen halbganzen Gewichts." Bonn : [s.n.], 1985. http://catalog.hathitrust.org/api/volumes/oclc/12317210.html.
Full textPabón, Triana Marta Lucía. "Morfosintaxis de las formas no finitas en Namt̮ik de Totoró : Cauca, Sur de Colombia." Thesis, Sorbonne Paris Cité, 2017. http://www.theses.fr/2017USPCC039.
Full textThe thesis is composed of an introduction and six parts, each one divided into chapters. The first part is morphophonology. The second part is dedicated to parts of speech with the following chapters: morphology, verbs, nouns, adjectives, adverbs. The third part speaks about nominalisation. The fourth part is dedicated to syntax, with two chapters: nominal phrase and verbal phrase. The fifth part presents predication with finite forms and non-finite forms. The sixth part refers to subordination
Esta tesis se componede una introducción y seis partes, cada una dividida en capítulos. La primera parte es la morfofonología. La segunda parte se dedica a las partes del discurso y contiene los siguientes capítulos: morfología del verbo, del nombre, del adjetivo, del adverbio. La tercera parte trata la nominalización. La cuarta parte se dedica a la sintaxis con dos capítulos, el sintagma nominal y el sintagma verbal. La quinta parte presenta la predicación con formas finitas y con formas no finitas. La sexta parte se refiere a la subordinación
Nguyen, Manh Tu. "Higher Hida Theory on Unitary Group GU (2,1)." Thesis, Lyon, 2020. http://www.theses.fr/2020LYSEN009.
Full textIn their breakthrough work, Calegari and Geraghty have shown how to bypass some serious restrictions of the original method by Taylor-Wiles, thus allowing us to attack more general modularity conjectures and related questions. Their method hinges on two conjectures, one is related to the problem of attaching Galois representations to torsion classes in the cohomology of Shimura varieties and the other to the requirement that these cohomology groups, localised at an appropriate ideal are non zero only in a certain range. The first conjecture is addressed in a great generality by Peter Scholze, but the second remains elusive. Recently, for coherent cohomology, inspired by the classical Hida theory, Vincent Pilloni has proposed a method consisting of p-adically interpolating the entire complex of coherent sheaves of automorphic forms on the Siegel threefold. This serves as a way to get around the second conjecture above and plays a crucial role in a recent work, where they show that abelian surfaces over a totally real field are potentially modular. In this thesis, we adapt the argument of Pilloni to construct a Hida complex interpolating classes in higher cohomology groups of the Picard modular surface. In a future work, we hope to use this to obtain some similar modularity results for abelian three-folds arising as Jacobians of some Picard curves
Lewis, Sarah C. "A grounded theory analysis of the forms of support on two online anorexia forums." Thesis, Loughborough University, 2014. https://dspace.lboro.ac.uk/2134/16559.
Full textPerekrest, Julija. "Literatūros eksperimentų formos ir strategija: Oulipo grupės ir lietuvių autorių tekstai." Master's thesis, Lithuanian Academic Libraries Network (LABT), 2010. http://vddb.laba.lt/obj/LT-eLABa-0001:E.02~2010~D_20100617_144738-03066.
Full textThe analysis of Lithuanian authors performances and the Oulipo experimental works with literary forms and strategies disclosed that the experiment is perceived as the conscious conjunction of literary elements and accommodation of constraints. As a result there is the emergence of new forms and structures. The main objectives of Master’s thesis are these: to present literary forms which are based on constraints; to reveal literary experiments related to genre and structure in the texts of I. Calvino, R. Queneau and J. Mekas; and through the works of R. Queneau and V. Klimašauskas to review several options of “the ordinary book” transformation and these influence to the meaning of the work. Analysis of the Oulipo group and Lithuanian authors works leads to the conclusion that experiment is expressed in all fundamental areas of literature. The competence of literary science is essential for the author because – as before starting the experimental work author is able to choose from the largest number of experimental elements and consequently he receive a variety of results.
Après avoir analysé les formes et la stratégie des expériments littéraires dans les oeuvres d‘Oulipo et des textes des auteurs lituaniens, on peut souligner que l‘expériment est reflété comme la conjonction consciente des éléments littéraires et l‘accommodation des contraintes dont le résultat est l‘apparition de nouvelles formes et structures. La base des matériaux étudiés – les articles théoriques du groupe Oulipo et l‘adaptation pratique des méthodes traditionelles et modernes. Les exemples des expériments lituaniens sont présents dans les oeuvres suivants: „Dainuoja degeneratas: Dadaistiški imažinistiniai eilėraščiai“ (P. Morkūnas), „Žmogus be vietos: Nervuoti dienoraščiai“ (J. Mekas), „Alfavilnius, arba Keisti Arnoldo Sputniko nuotykiai“ (V. Klimašauskas). Le but de ce mémoire est multifonctionnel: montrer les formes littéraires qui s‘accommodent aux contraintes particulières (lipogramme, palindrome, tautogramme, la méthode S+7 etc.), révéler des expériments liés aux genres et structures dans les textes d‘I. Calvino, R. Queneau et J. Mekas. Grâce aux ouvrages de R. Queneau et V. Klimašauskas, on a examiné quelques possibilités de transformation du livre et leur importance au sens de l‘oeuvre. Finalement, la revue des expériments d‘Oulipo et des auteurs lituaniens se dirige vers une conclusion espérée qu‘un expériment s‘exprime dans la littérature et toutes ses domaines fondamentales. Avant de se mettre au travail expérimental, la compétence des sciences litéraires est... [toliau žr. visą tekstą]
Volkov, Evgeny. "Characterization of intrinsically harmonic forms." Diss., lmu, 2007. http://nbn-resolving.de/urn:nbn:de:bvb:19-66959.
Full textCabri, Louis de Meillon. "A poetics of aesthetic forms." Thesis, National Library of Canada = Bibliothèque nationale du Canada, 1997. http://www.collectionscanada.ca/obj/s4/f2/dsk2/ftp04/mq20783.pdf.
Full textMcQuillan, Daniel J. "Quadratic forms and Galois theory." Thesis, National Library of Canada = Bibliothèque nationale du Canada, 1998. http://www.collectionscanada.ca/obj/s4/f2/dsk2/tape15/PQDD_0013/NQ31148.pdf.
Full textPicard, Frederic. "Some problems concerning multilinear forms." [Bloomington, Ind.] : Indiana University, 2006. http://gateway.proquest.com/openurl?url_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:dissertation&res_dat=xri:pqdiss&rft_dat=xri:pqdiss:3223053.
Full text"Title from dissertation home page (viewed June 28, 2007)." Source: Dissertation Abstracts International, Volume: 67-06, Section: B, page: 3170. Adviser: Richard Bradley.
Antonakos, Evangelia. "Forms of Generic Common Knowledge." Thesis, City University of New York, 2013. http://pqdtopen.proquest.com/#viewpdf?dispub=3557113.
Full textIn multi-agent epistemic logics, common knowledge has been a central consideration of study. A generic common knowledge (G.C.K.) system is one that yields iterated knowledge I(ϕ): 'any agent knows that any agent knows that any agent knows. . . ϕ' for any number of iterations. Generic common knowledge yields iterated knowledge G.C.K.(ϕ) → I(ϕ) but is not necessarily logically equivalent to it. This contrasts with the most prevalent formulation of common knowledge C as equivalent to iterated knowledge. A spectrum of systems may satisfy the G.C.K. condition, of which C is just one. It has been shown that in the usual epistemic scenarios, G.C.K. can replace conventional common knowledge and Artemov has noted that such standard sources of common knowledge as public announcements of atomic sentences generally yield G.C.K. rather than C.
In this dissertation we study mathematical properties of generic common knowledge and compare them to the traditional common knowledge notion. In particular, we contrast the modal G.C.K. logics of McCarthy (e.g. M4) and Artemov (e.g. [special characters omitted]) with C-systems (e.g. [special characters omitted]) and present a joint C/G.C.K. implicit knowledge logic [special characters omitted] as a conservative extension of both. We show that in standard epistemic scenarios in which common knowledge of certain premises is assumed, whose conclusion does not concern common knowledge (such as Muddy Children, Wise Men, Unfaithful Wives, etc.), a lighter G.C.K.can be used instead of the traditional, more complicated, common knowledge. We then present the first fully explicit G.C.K. system LP n(LP). This justification logic realizes the corresponding modal system [special characters omitted] so that G.C.K., along with individual knowledge modalities, can always be made explicit.