Rice s Theorem
In computability theory, Rice's theorem states that, for any non-trivial property of partial functions, there is no general and effective method to decide whether an algorithm computes a partial function with that property. Here, a property of partial functions is called trivial if it holds for all partial computable functions or for none, and an effective decision method is called general if it decides correctly for every algorithm. The theorem is named after Henry Gordon Rice, and is also known as the Rice-Myhill-Shapiro theorem after Rice, John Myhill, and Norman Shapiro.

This is an excerpt from the article Rice s Theorem from the Wikipedia free encyclopedia. A list of authors is available at Wikipedia.
The article Rice s Theorem at en.wikipedia.org was accessed 41 times in the last 30 days. (as of: 11/06/2013)
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Rice's theorem - Wikipedia, the free encyclopedia
In computability theory, Rice's theorem states that, for any non-trivial property of partial ... whether the language decided by an arbitrary Turing machine lies in S.
en.wikipedia.org/wiki/Rice's_theorem
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Rice's Theorem - Aalborg Universitet
Our result, known as Rice's theorem after Henry. Rice who proved the result in 1953 [2], states that if S is a non-trivial property of Turing-recognizable languages , ...
www.cs.aau.dk/~srba/courses/CC-08/rice-uk.pdf
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Rice's theorem
Rice's theorem: Any nontrivial property about the language recognized by a Turing machine is undecidable. A property about Turing machines can be ...
kilby.stanford.edu/~rvg/154/handouts/Rice.html
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Perplexed by Rice's theorem - Computer Science - Stack Exchange
Jul 18, 2012 ... Summary: According to Rice's theorem, everything is impossible. And yet, I do this supposedly impossible stuff all the time!
cs.stackexchange.com/questions/2811/perplexed-by-rices-theorem
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Rice's Theorem (PDF) - Elvis.rowan.edu
Rice's Theorem ... Rice's Theorem: Any nontrivial property P of the recursively enumerable ... This means that if a set S is not recursive, then either S or S. C. (or.
elvis.rowan.edu/~nlt/TheoryNotes/rice.pdf
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Lecture 23: Rice Theorem and Turing machine behavior properties
Apr 21, 2009 ... This lecture covers Rice's theorem, as well as decidability of TM ... To do this, we assume that RegularTM was decided by some TM S. We then ...
courses.engr.illinois.edu/cs373/sp2009/lectures/lect_23.pdf
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Rice's theorem - Princeton University
In computability theory, Rice's theorem states that, for any non-trivial property of partial ... whether the language decided by an arbitrary Turing machine lies in S.
www.princeton.edu/~achaney/tmve/wiki100k/docs/Rice_s_theorem.html
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Rice's Theorem Testing any non-trivial property of languages rec ...
Applying Rice's Theorem. Does Rice's Theorem imply that. 1. ETM is undecidable? 2. ... S = “On input hM, wi, where M is a TM and w is a string: 1. Construct M0 ...
www.cs.rit.edu/~eh/cc_ch5bs.pdf
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Proof of Rice's theorem
Rice's Theorem. Every nontrivial set of programs that respects equivalence is undecidable. Proof. Let S be a nontrivial set of programs that respects equivalence.
www.cs.ecu.edu/~karl/6420/spr02/rice.html
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Detecting undecidability. Rice's Theorem.
Detecting undecidability. Rice's Theorem. Sometimes it is very difficult to tell whether a given language is decidable, but there are some “rules of thumb” that may ...
www.eecs.yorku.ca/course_archive/2006-07/F/2001/handouts/lect21.pdf
Search results for "Rice s Theorem"
Rice s Theorem in science
Complexity-Theoretic Analogs of Rice''s Theorem - ACM Digital Library
Rice''s theorem states that every nontrivial language property of the recursively enumerable sets is undecidable. Borchert and Stephan initiated a search for ...
[PDF]On computational models and the converse of Rice's theorem
University of Campinas. Arnaldo V. Moura ... result we then prove that the converse of Rice's Theorem does not hold. Although our ... trivial if P = ∅ or P = S. We define RE to be the set of recursively enumerable languages over Σ. If S is a set, ...
[PDF]On Rice's theorem
Theorem 2.1 (Rice's theorem) If S is a non-trivial property of Turing- acceptable .... References. [1] Hüttel, H. Om Rice's sætning, Aalborg University 2001.
[FOM] A generalization of RIce`s theorem for logical theories - Nyu
Oct 12, 2008 ... [FOM] A generalization of RIce`s theorem for logical theories ... Epistemology and the History of Science – CLE State University of Campinas ...
[PDF]The Intensional Content of Rice's Theorem (Pearl)
Department of Computer Science, University of Bologna. Mura Anteo Zamboni 7, ... ize both Rice's Theorem (Section 4) and Rice-Shapiro's Theorem. (Section 5) ..... By the s-m-n theorem there exists a computable function s such that φs(x) ...
Rice's Theorem for the universe - University of Birmingham
R i c e ' s T h e o r e m f o r t h e M a r t i n - L o f u n i v e r s e Martin Escardo ... Hence this version of Rice's Theorem for the universe remains true when type ...
[PDF]Complexity-Theoretic Analogs of Rice's Theorem 1 ... - CiteSeer
University of Rochester Department of Computer Science TR 662 ... Theorem 1.1 (Rice's Theorem, Version I) Let A be a nonempty proper subset of ..... S k1 UP k. 3As we will note in the proof of Theorem 2.4, P(#constP)O(1)] = P(#constP) 1].
Sampling Distributions - Online Statistics
Instructions. Please wait until a button appears below. Click the button to begin the simulation. There will be a slight delay and then the Java applet will open in a  ...
Rice Simulations
Concepts: binomial distribution, normal distribution, central limit theorem, .... were developed as part of a grant from NSF to David Lane of Rice University. ... those of the author(s) and do not necessarily reflect the views of the National Science ...
[PDF]Rice's Theorem (PDF) - Elvis.rowan.edu
Rice's Theorem. Recall that a ... Rice's Theorem: Any nontrivial property P of the recursively enumerable languages is ... This means that if a set S is not recursive, then either S or S. C. (or ... Arnold Rosenberg, professor at Duke University.
Books on the term Rice s Theorem
Computability, Complexity, and Languages: Fundamentals of ...
Martin Davis, Ron Sigal, Elaine J. Weyuker, 1994
[Hint: Use the parameter theorem and a version of the universal program m .] 12. ... 7. Rice's. Theorem. Using the reducibility method we can prove a theorem that gives us, at a single stroke, a wealth of ... Rice
An Abundance of Katherines
John Green, 2008
Grade 9 Up–This novel is not as issue-oriented as Greens Looking for Alaska (Dutton, 2005), though it does challenge readers with its nod to postmodern structure. Right after intellectual child-prodigy Colin Singleton graduates from high school, his girlfriend (who, like the 18 young women and girls whom he claimed as girlfriends over the years, is...
Computability: A Mathematical Sketchbook
Douglas S. Bridges, 1994
A Mathematical Sketchbook Douglas S. Bridges ... The first of these, Rice's Theorem, characterises a large class of nonrecursive subsets of N; the second, the Recursion Theorem, has many applications, some of which appear at the end of this ...
The Outer Limits of Reason: What Science, Mathematics, and Logic Cannot Tell Us
Noson S. Yanofsky, 2013
Yanofsky has brought together insights about quantum mechanics, logic, and mathematics under one rubric. Very few others could pull that off. This book has the potential to be a classic. (Prakash Panangaden, School of Computer Science, McGill University)Yanofsky takes on this mindboggling subject with confidence and impressive clarity. He eases the...
Domains and Lambda-Calculi
Roberto M. Amadio, Curien Pierre-Louis, 1998
Rice-Shapiro. theorem. We end this summary with an important theorem, which is widely used in theoretical computer ... Thus our assumption entails z £ K iff \t.g(z, t ) € A. Let s be a recursive function, given by theorem Al.1.5, such that g(z,t) ...
Recursive Model Theory
I?U?rii? Leonidovich Ershov, Wiktor Marek, 1998
Leonidovich Ershov, Wiktor Marek. Theorem 7.2 Let L be a sublist of MQL', and let E0 = {Q G SL(o)] l- -}. ... Statement 7.4 There is no effectively formulated analogue of the third level of Rice 's Theorem for semantic classes of sentences with ...

Blog posts on the term
Rice s Theorem
The Zealot King Problem & An Operational Version of Rice’s Theorem
The Zealot King Problem Let’s say you’re the king of a far-off land inhabited by Turing machines. As a highly religious king, you have strict morals and lately, you’ve been frustrated to see many of your citizens acting immorally.
djstrouse.com/the-zealot-king-problem-an-operational-version-of-rices-theorem/
Lecture on undecidability 6b: Rice’s theorem and the Church-Turing thesis | problem24
Recall that a recursive set is defined as one whose characteristic function is a total recursive function. Similarly, a decision problem or predicate with domain \$latex \mathbb{N}\$ is called recursively undecidable or recursively unsolvable iff the corresponding charactersitic function is not a total recursive function. The following theorem states that basically any property of functions leads to such an…
problem24.wordpress.com/2011/06/25/lecture-on-undecidability-6b-rices-theorem-and-the-church-turing-thesis/
Toxin Found in Most U.S. Rice Causes Genetic Damage - The Crux | DiscoverMagazine.com
Rice products contain more arsenic than those of any other grain. Now a study has linked arsenic to cellular damage, potentially leading to cancer.
blogs.discovermagazine.com/crux/2013/08/02/toxin-found-in-most-u-s-rice-causes-genetic-damage/
FilmDistrict to distribute Christ the Lord movie base on Anne Rices novel
Film District has announced that they have secured the rights to distribute Christ the Lord based on Anne Rices novel.
www.hitfix.com/news/filmdistrict-to-distribute-christ-the-lord-movie-base-on-anne-rices-novel
Dissecting Quarterback Value In Fantasy Football – The Zero QB Theorem | FULL IMPACT FOOTBALL
I think it is safe to say, that at one point or another, we have either heard, or uttered the saying, “I can beat you with one arm tied behind my back.” That is the essence of the Zero QB Theorem, a theorem that isn’t nearly as complex as Fermet’s Theorem or even the Pythagorean…
fullimpactfootball.com/2013/07/17/dissecting-quarterback-value-in-fantasy-football-the-zero-qb-theorem/
Godel's Incompleteness Theorem
Godel's Incompleteness Theorem has profound implications for how we understand the world.... Read more Â»
www.perrymarshall.com/10043/godels-incompleteness-theorem-the-universe-mathematics-and-god/
Everyone Gets the Limbaugh Theorem as the IRS Scandal Unfolds, But They're Missing the Purpose of Obama's Strategic Detachment - The Rush Limbaugh Show
RUSH: So when Obama says there's no "there" there, as far as the media's concerned, he's right. As far as the Limbaugh Theorem, he's right, there's no "there" there, no matter what Obama does. No matter what he does, it will never be reported he did it. In fact, what will be reported is -- in this case -- Obama's trying to fix it!
www.rushlimbaugh.com/daily/2013/05/20/everyone_gets_the_limbaugh_theorem_as_the_irs_scandal_unfolds_but_they_re_missing_the_purpose_of_obama_s_strategic_detachment
HowStuffWorks "How Rice Cookers Work"
Rice cookers help create the perfect rice. Learn how rice cookers use technology to prepare one of the world's oldest, most important food staples.
home.howstuffworks.com/rice-cooker.htm
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