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         Categorical Algebra And Logic:     more books (15)
  1. Handbook of Categorical Algebra: Volume 1, Basic Category Theory (Encyclopedia of Mathematics and its Applications) (v. 1) by Francis Borceux, 2008-04-24
  2. Algebraic Theories: A Categorical Introduction to General Algebra (Cambridge Tracts in Mathematics) by J. Adámek, J. Rosický, et all 2010-12-31
  3. Realizability, Volume 152: An Introduction to its Categorical Side (Studies in Logic and the Foundations of Mathematics) by Jaap van Oosten, 2008-04-24
  4. Sheaves, Games, and Model Completions: A Categorical Approach to Nonclassical Propositional Logics (Trends in Logic) by Silvio Ghilardi, M. Zawadowski, 2002-07-31
  5. Categorical Logic and Type Theory, Volume 141 (Studies in Logic and the Foundations of Mathematics) by B. Jacobs, 2001-05-24
  6. Goguen Categories: A Categorical Approach to L-fuzzy Relations (Trends in Logic) by Michael Winter, 2010-11-02
  7. Categorical Foundations: Special Topics in Order, Topology, Algebra, and Sheaf Theory (Encyclopedia of Mathematics and its Applications)
  8. Sheaves, Games, and Model Completions: A Categorical Approach to Nonclassical Propositional Logics (Trends in Logic) by Silvio Ghilardi, M. Zawadowski, 2010-11-02
  9. Categorical Closure Operators by Gabriele Castellini, 2003-05-15
  10. Categorical Topology
  11. Categorical Methods in Computer Science: With Aspects from Topology (Lecture Notes in Computer Science)
  12. From a Geometrical Point of View: A Study of the History and Philosophy of Category Theory (Logic, Epistemology, and the Unity of Science) by Jean-Pierre Marquis, 2008-12-05
  13. Introduction to Higher-Order Categorical Logic (Cambridge Studies in Advanced Mathematics) by J. Lambek, P. J. Scott, 1986-07-25
  14. Categorical Structure of Closure Operators: With Applications to Topology, Algebra and Discrete Mathematics (Mathematics and Its Applications) by D. Dikranjan, Walter Tholen, 1995-10-31

41. Meetings Of The Seminar “algebra And Logic”
Your browser may not have a PDF reader available. Google recommends visiting our text version of this document.
http://www.springerlink.com/index/735127425U215983.pdf

42. Handbook Of Categorical Algebra - Cambridge University Press
The Handbook of categorical algebra is intended to give, in three volumes, Internal logic of a topos; 7. The law of excluded middle; 8.
http://www.cambridge.org/catalogue/catalogue.asp?isbn=9780521441803

43. Introduction To Categorical Data Analysis, An - BizRate - Compare Prices, Review
Read product reviews before buying a Introduction to categorical Data Analysis, linear algebra, introduction logic, introduction mathematical reasoning,
http://www.bizrate.com/mathematicsbooks/products__keyword--introduction categori
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44. Category Theory > Alphabetically Sorted, Complete Bibliography (Stanford Encyclo
Boileau, A. Joyal, A., 1981, La logique des topos , Journal of Symbolic logic, 46, 1, 6–16. Borceux, F., 1994, Handbook of categorical algebra,
http://plato.stanford.edu/entries/category-theory/bib.html
Cite this entry Search the SEP Advanced Search Tools ... Stanford University
Supplement to Category Theory
Alphabetically Sorted, Complete Bibliography
  • Adamek, J. et al Abstract and Concrete Categories: The Joy of Cats , New York: Wiley. Adamek, J. et al ., 1994, Locally Presentable and Accessible Categories, Cambridge: Cambridge University Press. Annals of Mathematics and Artificial Intelligence Journal of Symbolic Logic History and Philosophy of Logic History and Philosophy of Logic Awodey, S., 1996, "Structure in Mathematics and Logic: A Categorical Perspective", Philosophia Mathematica Awodey, S., 2004, "An Answer to Hellman's Question: Does Category Theory Provide a Framework for Mathematical Structuralism", Philosophia Mathematica Awodey, S., 2006, Category Theory , Oxford: Clarendon Press. n -Categories and the Algebra of Opetopes", Advances in Mathematics Higher Category Theory , Contemporary Mathematics, Baez, J., 1997, "An Introduction to n -Categories", Category Theory and Computer Science , Lecture Notes in Computer Science, Baianu, I. C., 1987, "Computer Models and Automata Theory in Biology and Medecine", in Witten, Matthew, Eds.

45. A Reflective Module Algebra With Applications To The Maude Language
The language OBJ embodies many of the categorical module composition We can then define a module algebra for the logic L in the framework logic F by
http://maude.cs.uiuc.edu/papers/abstract/Dmodalg_1999.html
A Reflective Module Algebra with Applications to the Maude Language
Introduction
It has long been recognized that large specifications are unmanageable unless they are built in a structured fashion from smaller specifications using specification-building operations. Modularity and module composition are central notions for specification languages and declarative programming languages. Although Parnas is the author of the possibly earliest work on software modules, Burstall and Goguen were the first to study the semantics of modular specifications and their composition operations in their language Clear. They proposed the idea of ``putting theories together'' by composing them through operations having a clean and logic-independent categorical semantics. Continuing in this line of work, Burstall and Goguen captured the minimal requirements that a logic must meet to be a reasonable specification framework and introduced the notion of institution Categorical techniques have allowed since then the study of specification-building operations with independence of any specific formalism by different authors, giving rise to a large body of research. Algebraic specification is now a mature field of Computer Science because of its mathematical foundations. After Clear, the theory of algebraic specification has been implemented in many computing systems, such as OBJ, ACT ONE, ASL, ASF, PLUSS, LPG, Larch, CASL, etc., and has become an important technique in software engineering methodologies.

46. Wiley InterScience :: Session Cookies
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http://doi.wiley.com/10.1002/malq.200610034
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47. Wesleyan University: Mathematics & Computer Science
Research, Mathematical logic, applications of model theory to algebra. Email, cwood F.E.J. Linton categorical algebra, functorial semantics, topoi.
http://www.wesleyan.edu/mathcs/people/faculty-by-research.html

About us
Whom to contact and how How to get here
Faculty by name
...
Web site contact
Mathematics and Computer Science Faculty by Research Area
Algebra Analysis Computer Science Discrete Mathematics ... Topology Following the link at the faculty member's name will take you to a page with more detailed information, including research summaries, homepages, classes, etc. (depending on what information the individual faculty member has supplied). E-mail addresses may be constructed by appending "@wesleyan.edu" to the e-mail given for each professor.
Algebra
Wai Kiu Chan
Associate Professor of Mathematics Research: Number theory, quadratic forms Email: wkchan
Karen Collins
Chair, Mathematics and Computer Science Professor of Mathematics Research: Enumerative and Algebraic Combinatorics, Graph Theory Email: kcollins
Mark Hovey
Professor of Mathematics Research: Algebraic topology, homological algebra Email: mhovey
David Pollack
Associate Professor of Mathematics Research: Number theory Email: dpollack
Philip Scowcroft
Professor of Mathematics Research: Foundations of mathematics, model-theoretic algebra

48. Structure In Mathematics And Logic A Categorical Perspective
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http://philmat.oxfordjournals.org/cgi/reprint/4/3/209.pdf

49. TMCNAA
Abstract We present an abstraction of Hoare logic to traced monoidal categories. . from the point of view of (groupoid enriched) categorical algebra.
http://funinf.cs.unibuc.ro/~gheorghe/org/tmcnaa/tmcnaa07prog.html
TMCNAA 2007
A LICS Workshop on
Traced Monoidal Categories, Network Algebras, and Applications
ICALP, LICS, LC, PPDP 2007 , Wroclaw, Poland, July 9-19, 2007
Aim and scope
Dates
Programme
Invited speakers ...
Steering committee
TMCNAA Programme, July 15-th, 2007
Common DCM TMCNAA invited lecture: Copy-cat Strategies and Information Flow in Physics, Geometry, Logic and Computation.
Samson Abramsky (Oxford University, UK)
abstract Coffee break
Invited lecture: On Traced Monoidal Closed Categories.
Masahito Hasegawa (Kyoto University, Japan)
abstract
Invited lecture: Hoare Logic in the Abstract.
Paulo Oliva (University of London, UK)
abstract Mini-break
Quantum Entanglement and Freely Constructed Compact Categories
Ross Duncan (Oxford University, UK)
abstract Lunch
Invited lecture: Traces, Kahn Networks and the Geometry of Interaction.
Prakash Panangaden (McGill University, Montreal, Canada)
abstract
Invited lecture: Streams, Network Algebras, and Interactive Systems
Gheorghe Stefanescu (University of Bucharest, Romania)
abstract Coffee break
Invited lecture: TBA
Gordon Plotkin (University of Edinburgh, UK)

50. Logic -- Britannica Online Encyclopedia
It was first treated systematically by Aristotle and later developed in terms of an algebra of logic. Symbolic logic arose from traditional logic by using
http://www.britannica.com/eb/article-9110686/logic
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logic
Main
the study of propositions and their use in argumentation. The major task of logic is to establish a systematic way of deducing the logical consequences of a set of sentences. In order to accomplish this, it is necessary first to identify or characterize the logical consequences of a set of sentences. The procedures for deriving conclusions from a set of sentences then need to be examined to verify that all logical consequences, and only those, are deducible from that set. Finally, in recent times, the question has been raised whether all the truths regarding some domain of interest can be contained in a specifiable deductive system. From its very beginning, the field of logic has been occupied with arguments , in which certain statements, the premises , are asserted in order to support some other statement, the conclusion . If the premises are intended to provide conclusive support for the conclusion, the argument is a deductive one. If the premises are intended to support the conclusion only to a lesser degree, the argument is called

51. Research
categorical algebra of proofs. categorical semantics of linear logic a survey. Not yet published your comments are welcome.
http://www.pps.jussieu.fr/~mellies/papers.html
Research
This list includes research articles as well as unpublished notes on my various research interests: Rewriting theory and
Rewriting Theory
Explicit substitutions and strong normalization
  • Typed lambda-calculi with explicit substitutions may not terminate Proceedings of the Second International Conference on Typed Lambda Calculi and Applications, Edinburgh,
    Lecture Notes in Computer Science 902, pp. 328-334, Springer, 1995.
    TLCA'95
    PostScript (7 pages)
    Four typed lambda-calculi with explicit substitutions may not terminate: the first examples Manuscript, Paris, April 1994.
    PostScript (5 pages)

    On a duality between Kruskal and Dershowitz theorems Proceedings of the 25th International Colloquium on Automata Languages and Programming, Aalborg, 1998.
    ICALP'98 PostScript (12 pages)
Coherence in braided monoidal categories Axiomatic Rewriting Theory
  • An abstract standardisation theorem with Georges Gonthier and Proceedings of the 8th Annual Symposium on Logic in Computer Science, Santa Cruz, 1992.

52. Applications Of Categorical Algebra
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http://www.turpion.org/php/full/infoFT.phtml?journal_id=rm&paper_id=3613&year_id

53. The Math Forum - Math Library - English
An electronic, refereed journal for articles that significantly advance the study of categorical algebra or methods, or that make significant new
http://mathforum.org/library/languages/english/?keyid=16616941&num_to_see=50&sta

54. Algebraic Logic - Elsevier
Relativized Relation Algebras. categorical Versus Algebraic logic. Introductory Course on Relation Algebras, FiniteDimensional Cylindric Algebras,
http://129.35.76.177/wps/product/librarians/523236
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55. Panagis Karazeris
Sifted inductive completions over cartesian closed bases pdf file , Notes from categorical Methods in algebra, Topology, Computer Science, Coimbra,
http://www.math.upatras.gr/~pkarazer/
Back to Division Home Page
Back to Mathematics Home Page
University of Patras Home Page
Panagis KARAZERIS
Assistant Professor
Telephone: +30 2610997425 (office)
E-mail : pkarazer@math.upatras.gr
Photo
    1993: Ph.D. University of Aarhus, Denmark. 1999: Graduate Diploma in Distance Learning. Greek Open University, Greece. 1987: B.Sc. University of Patras, Greece.
Research Interests: Category Theory, Mathematical Logic Published Papers:
1. Compact Topologies on Locally Presentable Categories, Cahiers de Topologie et Geometrie Differentiele Categoriques , Vol. XXXVIII-3 (1997), 227-255.
2. Gabriel Topologies on Coherent Quantales, Journal of Pure and Applied Algebra
3. (with Costas Drossos ) Coupling an MV-algebra with a Boolean Algebra, Intern. J. of Approx. Reasoning
4. Gabriel Filters and the Spectrum of an MV-algebra. In: D. Dubois et al.(eds) Fuzzy Sets, Logics and Reasoning about Knowledge . Kluwer, 1999.
5. Categorical Domain Theory: Scott Topology, Powercategories, Coherent Categories ps file Theory and Applications of Categories
6. Notions of Flatness relative to a Grothendieck Topology

56. CJO - Abstract - Introduction
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http://journals.cambridge.org/article_S0960129599002996
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Skip to content Mathematical Structures in Computer Science (2000), 10: 97-98 Cambridge University Press doi:10.1017/S0960129599002996 Copy and paste this link: http://journals.cambridge.org/action/displayAbstract?aid=44859 Editorial
Introduction
M. BARR Editor P. J. SCOTT Editor and R. A. G. SEELY Editor
Abstract

On December 5, 1997, a small conference was held at McGill on the occasion of Jim Lambek's 75th birthday. Subsequently it was decided to publish two volumes of papers contributed in his honour to mark this occasion: this issue of Mathematical Structures in Computer Science is one of the volumes; the other is Volume 6 of the journal

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