JSTOR Recursive Number Theory (NorthHolland, Amsterdam) Recursive number theory is the study of the natural numbers in which only Recursive functions and relations may be defined. http://links.jstor.org/sici?sici=0025-5572(195812)2:42:342<326:RNT>2.0.CO;2-Q
Recursive Function (mathematics) -- Britannica Online Encyclopedia The theory of Recursive functions was developed by the 20thcentury truth that all Recursive or computable functions and relations are representable in http://www.britannica.com/eb/topic-493975/article-9062919
Springer Online Reference Works Suppose that are place primitive Recursive functions, and let be primitive Recursive relations such that for any set of argument values at most one of them http://eom.springer.de/P/p074610.htm
PlanetMath: Recursive Function AMS MSC, 03D20 (Mathematical logic and foundations Computability and recursion theory Recursive functions and relations, subRecursive hierarchies) http://planetmath.org/encyclopedia/PrimitiveRecursion.html
An Arguable Inconsistency In ZF We consequently note, in Metalemma 1, that we cannot introduce a finite number of arbitrary primitive Recursive functions and relations - as function http://alixcomsi.com/An_arguable_inconsistency_in_ZF.htm
Languages And Machines 13.7 Turing Computability and MuRecursive functions 17.3 relations between Time and Space Complexity. 17.3 P-Space, NP-Space, and Savitchs Theorem http://www.cs.wright.edu/~tsudkamp/book.htm
Reasoning With Recursive Rules Note again, that ;; functions and relations must be defined before they can be This is an important feature, since recursion is a very ;; natural and http://www.isi.edu/isd/LOOM/PowerLoom/documentation/examples/recursion.html
Bibliographie Real Recursive functions and real extentions of Recursive functions. for understanding the relations between several analog computational models. http://www.loria.fr/~hainry/publi/Hainry.html
Grad Description Elements of set theory, functions and relations nondecimal numbers, Include Turing Machines, partial Recursive functions, Recursive and Recursively http://www.jsums.edu/~sst/cset/ComputerScience/computerscience-gradcurriculum.ht
Computability DCS301 Primitive Recursive functions and relations. Ackermann function. Read Chapters 6 and 7 of textbook. Look at Handout 3 and at Cohn, Algebra, Vol 1, Chapter 2 http://www.dcs.qmul.ac.uk/~bellin/coursepage.htm
Overview Of Topics Operations on Sets of Objects; functions and relations; Domain and Range; Recursive functions; Composition of functions; Inverse functions; Bijection, http://www.4dsolutions.net/ocn/mainoutline.html
Big-Oh For Recursive Functions: Recurrence Relations This web page gives an introduction to how recurrence relations can be used to help determine the bigOh running time of Recursive functions. http://www.cs.duke.edu/~ola/ap/recurrence.html
Recursive Function Theory The relation between Recursive functions and the description of flow control by flow charts is described in Reference 7. An ALGOL program can be described http://www-formal.stanford.edu/jmc/basis1/node13.html
The Set Of Primitive Recursive Functions Preliminaries; Sets of Compatible functions; Homogeneous relations; Primitive Recursiveness; The Set of Primitive Recursive functions; Examples http://mizar.org/JFM/Vol13/comput_1.html
A PVS Formalization Of Well Founded Recursion Our theory applies to the definition of total Recursive relations the definition of total Recursive functions is a special case. http://uuu.enseirb.fr/~gloess/enseignement/spp/now/well_founded_recursion.html
FOM: Concepts Of Recursion Theory This was not surprising; Church s Thesis shows that any result about Recursive functions or relations is in soie sense a result about computability. http://cs.nyu.edu/pipermail/fom/1998-August/002024.html
Finite Sets: Counting, Recursion, And Logic, Next Steps Iteration and Recursion; Sets defined by Propositions; The Art of Counting; relations and functions; Digraphs as relations; The Art of Searching http://www.mathwright.com/book_pgs/book651.html
Logic, 8 We define relations, functions and so on in the natural way RUP f1 . .. Recursion Theory compare this to Sipsers Computation, Part II http://www.media.mit.edu/physics/pedagogy/babbage/texts/rt.html
Recursive Functions A less trivial one we now introduce is defined by two relations. Immediately we run into the problems of such Recursive functions. http://www.geocities.com/CapeCanaveral/Lab/3550/meaning.htm
SRF srf (Simple Recursive functions) interprets a very simple programming .. The file examples/relations in the source distribution has functions that match http://www.inlumineconsulting.com:8080/website/srf.html
Vectorization Of Recursion Relations. Techniques for efficient vectorization of the simple Recursive relation (x sub j) = (a sub j)(x sub (j1)) + (d sub j) and the tridiagonal series of http://stinet.dtic.mil/oai/oai?verb=getRecord&metadataPrefix=html&identifier=ADA
Recurrence Relations/recursion & Induction Recurrence relations and Recursive definitions have a lot in common with induction the value of a function at a higher value is defined in terms of its http://mathcircle.berkeley.edu/BMC4/Handouts/induct/node9.html
Math 210 Topics include counting and combinations, laws of logic, methods of proof, set theory, cardinality, proof by induction, recursion, and relations/functions. http://www.cptc.ctc.edu/library/div4/math210sweerus4.htm
Well-Foundedness And Recursion This is a proof of the recursion theorem for wellfounded Recursive definitions. It is modelled on Tobias Nipkow s proof for Isabelle HOL and uses relations http://www.rbjones.com/rbjpub/pp/x004.html
ACL2 Version 2.3 Such wellfounded relations are used in the admissibility test for Recursive functions, in particular, to show that the recursion terminates. http://www.cs.utexas.edu/users/moore/acl2/v2-3/acl2-doc-56.html
22c:245 Advanced Artificial Intelligence The Y combinator for the definition of Recursive functions. Confluence of the reduction relation. -equivalence of -terms. Reduction strategies. http://www.cs.uiowa.edu/~tinelli/classes/185/Fall06/logs.shtml
Recursion Definition of recursion, possibly with links to more information and implementations. Write a function to compute GCD based on the following relations http://www.nist.gov/dads/HTML/recursion.html
Recursion Relations In Component Form Recursion relations in Component Form. We will now present formulae for calculating , and . We do this by expanding ( gif ) and ( gif http://www.hpcoders.com.au/docs/thesis/node45.html
Venanzio Capretta's Home Page For each language, we can define recursion and induction principles that work the use of wellfounded relations, implementation of operational semantics, http://www.cs.ru.nl/~venanzio/
Recursion - Wikipedia, The Free Encyclopedia Some specific kinds of recurrence relation can be solved to obtain a nonRecursive definition. A classic example of recursion is the definition of the http://en.wikipedia.org/wiki/Recursion
Tower Of Hanoi The above expression is known as a recurrence relation which, as you might have noticed, is but a Recursive function. TN is defined in terms of only one of http://www.cut-the-knot.org/recurrence/hanoi.shtml
TFL An Environment For Terminating Functional Programs Proving termination of a Recursively defined function divides into two tasks (1) finding a wellfounded relation R; (2) showing that the Recursive calls http://www.cl.cam.ac.uk/~ks121/tfl.html
Shodor Interactivate: Recursion The Recursion uses JAVA technology. We are trying to determine whether you have this technology installed on your computer. This should only take a few http://www.shodor.org/interactivate/activities/Recursion/
Recursion In E-R Relationships Recursion is extremely powerful in modelling. A good example is its use in modelling a family tree. The simplest model stores data about one entity (Person) http://blogs.ittoolbox.com/eai/implementation/archives/recursion-in-er-relations