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Topic: Algebraic logic


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In the News (Thu 16 Feb 12)

  
  Algebraic logic   (Site not responding. Last check: 2007-11-05)
There is little that is surprising to be said about the algebraic aspect of Watson.
This logic of equations is familiar to all of us from high school algebra, though its formal study is not entirely trivial.
In Watson, the propositional connectives and quantifiers are not logical primitives: they can be defined in terms of the logical primitives of Watson (definition by cases and abstraction) or they can be introduced as user-defined primitives in a Watson theory.
math.boisestate.edu /~holmes/babydocs/node4.html   (233 words)

  
 FWD: Call for Papers: Algebraic Methodology and Software Technology
An eventual goal is to establish algebraic and logical methodology as a practically viable and attractive alternative to the prevailing ad-hoc approaches to software engineering.
Submissions We invite papers reporting original research in algebra and logic, suitable as a foundation for software technology, as well as software technologies developed by means of logic and algebraic methodologies.
LOGIC PROGRAMMING.semantics.logic programming extensions.constraints and concurrency.program verification and transformation.temporal and deductive databases We invite prospective authors to submit 6 copies of previously unpublished papers of high quality (15 double spaced pages maximum) in an area relevant to the conference theme.
nms.lcs.mit.edu /Larch/archive/msg00091.html   (979 words)

  
 03: Mathematical logic and foundations
Mathematical Logic is the study of the processes used in mathematical deduction.
Among examples of this are the theory of algebraically closed fields of characteristic zero (Los-Vaught) and the theory of the real field R (Tarski).
The structures introduced in Algebraic Logic are also studied (qua algebraic objects) in General Algebraic Structures.
www.math.niu.edu /~rusin/known-math/index/03-XX.html   (2050 words)

  
 PhD
A number of researchers in the interdisciplinary field spanning logic, linguistics, and computer science have come to feel that the time is ripe to build a more visible and permanent organizational basis for training graduate students and young scientists, who would like to join them (on a professional level) in their activities.
In this process, the very conception of what logic is has been changing, often radically, so that the subject should be taken as a quite general discipline, not identifiable with any single successful application, be it to mathematics or to linguistics.
Logic, section VIL3-4, pp.108-114", which however is a reasonable starting point if the exercises are elaborated in detail (though this book does not really address the central questions to be discussed in the course).
www.btk.elte.hu /logikat/english/PhD.html   (3775 words)

  
 [No title]   (Site not responding. Last check: 2007-11-05)
We study the logic from the point of view of modularity; vertical modularity is based on a notion of implementation of systems and refinement of specifications, and horizontal modularity is based on parallel composition of systems and specifications.
Abstract The main topics addressed during the workshop were: algebraic and other approaches to system specification; algebraic combination of logics; algebraic structures and logics for concurrency; other algebraic structures and their logics; specification languages and their associated methods and tools; term rewriting and theorem proving.
We show that constraint logic is an institution, and we internalise the study of constraint logic to the framework of category-based equational logic.
www.cs.caltech.edu /~kiniry/bibliography/ads.ovid   (9365 words)

  
 Applying Algebraic Logic; A General Methodology (ResearchIndex)   (Site not responding. Last check: 2007-11-05)
Abstract: Connections between Algebraic Logic and (ordinary) Logic.
Algebraic counterpart of model theoretic semantics, algebraic counterpart of proof theory, and their connections.
Logical Analysis of Special Relativity Theory - Andréka..
citeseer.ist.psu.edu /520068.html   (359 words)

  
 Algebraic Logic and Universal Algebra in Computer Science. Proceedings of a Conference, Ames, Iowa, USA. June 1-4, 1988 ...
Synopsis Algebraic methods, in particular those of universal algebra and algebraic logic, are playing an increasingly important role in computer science, especially in the areas of algebraic specification of data types, relational data types, relational database theory, logic of programmes, functional and logic programming, and semantics of programming languages.
To a large extent this work has been carried forward by computer scientists independent of the very active group of mathematicians who work in universal algebra and algebraic logic.
The programme also included contributed papers and a round-table discussion of the role of algebra and logic in computer science.
www.uni-protokolle.de /buecher/isbn/3540972889   (225 words)

  
 Algebraic Logic
algebraic infants, algebraic integers, algebraic linear programmimg, algebraic logarithms, algebraic group, algebraic group theory, algebraic horizontal axis test, algebraic inequality, algebraic inequality in standard form equivalent,
Everyone else in my class is confused about the algebraic logic and the teacher just isn't explaining it like she should.
They can help (well, maybe not always the parents), but often you're still left confused and unsure of how to solve the equations that you were assigned.
www.algebra-answer.com /algebra-helper/algebraic-logic.html   (540 words)

  
 Algebraic Logic and Universal Algebra in Computer Science 1988   (Site not responding. Last check: 2007-11-05)
Algebraic Logic and Universal Algebra in Computer Science 1988: Ames, Iowa, USA
Vaughan R. Pratt: Dynamic algebras as a well-behaved fragment of relation algebras.
Richard J. Thompson: Noncommutative cylindric algebras and relativizations of cylindric algebras.
www.informatik.uni-trier.de /~ley/db/conf/aluacs/aluacs1988.html   (164 words)

  
 Step by Step - Building Representations in Algebraic Logic - Hirsch, Hodkinson (ResearchIndex)   (Site not responding. Last check: 2007-11-05)
The Lyndon conditions defining representable relation algebras (for the finite case) and a similar schema for cylindric algebras are derived.
Countable relation algebras with homogeneous representations are characterised by...
2 Algebraic logic and the methodology of applying it (context) - N'emeti, quantifier et al.
citeseer.ist.psu.edu /259280.html   (865 words)

  
 Doctorate in Logic and Foundations of Mathematics
The goal of the program is to train researchers in Logic and closely related topics.
The first period of the program consists of two years of training before the student is allowed to start the research on the Ph.
To be chosen according to the student's interests among the topics that will be suggested at the end of the first year, which will belong to the research areas mentioned above.
www.ub.es /logica/doct/doctLFM-eng.htm   (425 words)

  
 The Math Forum - Math Library - Research
Algebraic Geometry preprints, from the U.C. Davis front end for the xxx.lanl.gov e-Print archive, a major site for mathematics preprints that has incorporated many formerly independent specialist archives.
Members and publications of the algebra group at the LUC (the Limburgs Universitair Centrum, a university in Diepenbeek, Belgium).
A paper describing research interests in algebra at Bangor, which have to a large extent been motivated by problems in algebraic topology and homological algebra.
www.mathforum.org /library/levels/research/?keyid=13619355&start_at=20...   (1829 words)

  
 Oxford Journals | Mathematics & Physical Sciences | Journal of Logic and Computation
The Journal of Logic and Computation aims to promote the growth of logic and computing, including, among others, the following areas of interest: Logical Systems, such as classical and non-classical logic, constructive logic, categorical logic, modal logic, type theory, feasible maths....
Logical issues in logic programming, knowledge-based systems and automated reasoning; logical issues in knowledge representation, such as non-monotonic reasoning and systems of knowledge and belief; logics and semantics of programming; specification and verification of programs and systems; applications of logic in hardware and VLSI, natural language, cincurrent computation, planning, and databases.
The bulk of the content is technical scientific papers, although letters, reviews, and discussions, as well as relevant conference reviews, are included.
www3.oup.co.uk /logcom   (114 words)

  
 Category Theory
It was used as such by Eilenberg and Steenrod in their influential book on the foundations of algebraic topology, published in 1952 and by Cartan and Eilenberg in their ground breaking book on homological algebra, published in 1956.
Even though the concept of a topos was presented in the sixties in the context of algebraic geometry, it was certainly Lawvere and Tierney's work on the elementary axiomatization of the concept, published in the early 1970s, which gave to the notion its foundational status and impetus.
Indeed, categorical logic, the study of logic with the help of categorical means, has been around for about 30 years now and is still vigorous.
plato.stanford.edu /entries/category-theory   (7029 words)

  
 Department of Computer Science Colloquia   (Site not responding. Last check: 2007-11-05)
The algebraic logicians, largely working out from George Boole and Augustus De Morgan, adopted practices from algebras of their time.
Content was even similar: Boole's algebra of logic was modelled upon different operators, while De Morgan's logic of relations closely followed functional equations.
No definitive position over logic and foundations of mathematics emerged during the 1900s, although the mathematical traditions rather eclipsed the algebraic.
www.swan.ac.uk /compsci/collsem/ColloquiumAbstracts/Grattan-GuinnessM93.html   (247 words)

  
 Boolean Searching on the Internet   (Site not responding. Last check: 2007-11-05)
Boolean logic refers to the logical relationship among search terms, and is named for the British-born Irish mathematician George Boole.
OR logic collates the results to retrieve all the unique records containing one term, the other, or both.
Usually the logical operator is expressed with substitute language rather than with the operator itself.
library.albany.edu /internet/boolean.html   (958 words)

  
 NATHAN HOUSER
"Peirce's Logical Innovations." Presented to the symposium on Logics and the Foundations of Mathematics at the XIXth International Congress of History of Science, Zaragoza, Spain, 26 August 1993.
In Algebraic Logic (Proceedings of the Conference in Budapest 1988), Colloquia Mathematica Societatis Janos Bolyai, vol.
"Algebraic Logic from Boole to Schröder, 1840—1900." In Companion Encyclopedia of the History and Philosophy of the Mathematical Sciences, ed.
www.iupui.edu /~philosop/houservita.htm   (2658 words)

  
 Barcelona Meeting 2005
This meeting shares the goals of the Tbilisi conference with the same title, held in July 2003, as well as those of the Patras conference on many-valued logics and residuated structures, held in June 2004.
The semantic study of non-classical logics is a field where no single overarching paradigm has been established, and where a variety of techniques are currently being explored.
Thus, we aim to bring together researchers from various fields of non-classical logics and applications, as well as from lattice theory, universal algebra, category theory and general topology, in order to foster collaboration and further research.
www.mat.ub.es /%7Elogica/meeting2005   (985 words)

  
 Finite Schematizable Algebraic Logic - Sain, Gyuris (ResearchIndex)   (Site not responding. Last check: 2007-11-05)
4 an Algebra of Sets of Finite Sequences Journal of Symbolic L..
3 Algebras of Relations of Various Ranks with Applications to..
1 Methodology of applying algebraic logic to logic Course mate..
citeseer.lcs.mit.edu /sain97finite.html   (730 words)

  
 Algebraic Logic and Universal Algebra in Computer Science. Conference, Ames, Iowa, Usa, June 1-4, 1988. Proceedings ...
Logic in Computer Science, 7th Conference (Lics '9...
Universal Algebra, Algebraic Logic, and Databases (By B. Plotkin)
Fork Algebras in Algebra, Logic and Computer Scien...
www.bookfinder4u.com /detail/0387972889.html   (234 words)

  
 Preprints of the Algebraic Logic Dept.
Andreka, H., Madarasz, J. and Nemeti, I.: Logical axiomatizations of space-time.
Judit Madarász: Interpolation in Algebraizable Logics; Semantics for Non-normal Multi-modal Logic
Gábor Sági: Non-computability of the consequences of the axioms of the omega-dimensional polyadic algebras.
www.math-inst.hu /pub/algebraic-logic/Contents.html   (654 words)

  
 Dr Don Pigozzi   (Site not responding. Last check: 2007-11-05)
Revised notes of lectures on joint work with Katarzyna Palasinska given at the CAUL, Lisbon in September of 2003, and at the Universidad Catolica, Santiago in November of 2003.
Abstract algebraic logic and the deduction theorem (draft).
Fregean logics with the multiterm deduction theorem and their algebraization.
old.math.iastate.edu /dpigozzi   (127 words)

  
 Dr. Frithjof Dau: Readings on Existential Graphs
Particularly, some of the rules Shin provides are not sound (but these flaws can easily be fixed), and the translation of beta graphs to first oder logic contains a flaw as well (I discussed this with Shin, and she agreed, thus I dare to express this critics).
But this thesis is the only one I found so far which provides an abstract mathematical definition for existential graphs (which prescinds from the graphical properties of the diagrams), so it is definetely worth reading it.
Lecture three is titled "the logic of relatives" and is about existential graphs.
www.dr-dau.net /eg_readings.shtml   (2448 words)

  
 Best Book Buys - Algebraic logic Books   (Site not responding. Last check: 2007-11-05)
Algebraic Methods in Logic and in Computer Science
Algebraic and Logic Programming: Second International Conference, Nancy, France, October 1-3, 1990, Proceedings
Formel Logik: Den Logiske Algebra Og Dens Forhold Til Normalsproget (Danish)
www.bestwebbuys.com /Mathematics-Logic-N_10020979-books.html   (139 words)

  
 C. S. Peirce and the Art of Icons
He is an associate editor in the Peirce Edition Project, and an associate professor in the Department of Philosophy of Indiana University at Indianapolis, where he teaches principally a course on Ancient Philosophy.
He contributed the article on the history of algebraic logic for the Routledge Companion Encyclopedia of the History and Philosophy of the Mathematical Sciences and the article on Charles S. Peirce for the Supplement for Edward's Encyclopedia of Philosophy.
He is a member of a number of professional organizations and has served as an officer or board member for several of them.
epc.buffalo.edu /conferences/02/peirce/partic.html   (975 words)

  
 Ian Hodkinson: Algebraic logic   (Site not responding. Last check: 2007-11-05)
The recently-published book on relation algebras was jointly written with him.
Slides for lectures at The Third International Tbilisi Symposium on Language, Logic and Computation, Batumi, Georgia, September 1999.
A gentle introduction to some aspects of relation algebras.
www.doc.ic.ac.uk /~imh/frames_website/AL.html   (103 words)

  
 Algebraic Logic Meeting   (Site not responding. Last check: 2007-11-05)
On the occasion of a visit of some colleagues from England and America, the ILLC will host a seminar on algebraic logic.
We introduce so-called elementary relation algebras and show that these algebras are representable.
This survey will focus on results about finite relation algebras and on the development of the concept of dimension for relation algebras, from Tarski's theorem that associativity for relative multiplication requires four variables to prove, to recent results by R.Hirsch and I.Hodkinson.
www.cs.ucl.ac.uk /staff/R.Hirsch/amsterdam/program.html   (131 words)

  
 Logic and Algebraic Methods at Swansea
Logic and Algebraic Methods for Design of Software and Hardware
To advance the algebraic and logical theories of data, algorithms, programs, and machines.
To model, specify and reason about computing systems using new algebraic and logical design methods.
www.swan.ac.uk /compsci/research/theory   (76 words)

  
 Relaunch of the Journal of Logic and Algebraic Programming   (Site not responding. Last check: 2007-11-05)
Elsevier proudly announces the relaunch of the JOURNAL OF LOGIC AND ALGEBRAIC PROGRAMMING formerly known as the Journal of Logic Programming.
The Journal of Logic and Algebraic Programming is an international journal whose aim is to publish original research papers, survey and review articles, tutorial expositions, and historical studies in the areas of logical and algebraic methods and techniques for programming in its broadest sense.
In particular, the refereeing procedure for submissions to the Journal of Logic and Algebraic Programming is intended to be limited to three months.
pvs.csl.sri.com /mail-archive/pvs/msg00391.html   (215 words)

  
 Algebraic Logic Functional language from FOLDOC   (Site not responding. Last check: 2007-11-05)
ALF is based on Horn clause logic with equality which consists of predicates and Horn clauses for logic programming, and functions and equations for functional programming.
Any functional expression can be used in a goal literal and arbitrary predicates can occur in conditions of equations.
Nearby terms: algebraic « algebraic data type « Algebraic Interpretive Dialogue « Algebraic Logic Functional language » Algebraic Manipulation Package » Algebraic Specification Language » algebraic structure
foldoc.hld.c64.org /foldoc.cgi?Algebraic+Logic+Functional+language   (108 words)

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