An application of this notion is the decidability question: it follows from Post's theorem that a recursively axiomatized modal logic L which has FMP is decidable, provided it is decidable whether a given finite frame is a model of L. In particular, every finitely axiomatizable logic with FMP is decidable.

Post's theorem establishes a close connection between the arithmetical hierarchy of sets of natural numbers and the Turing degrees.

In the context of second-order arithmetic, results such as Post's theorem establish a close link between the complexity of a formula and the ( non ) computability of the set it defines.

* Post's theorem

The theorem just stated is a corollary of Post's theorem about the arithmetical hierarchy, proved some years after Tarski ( 1936 ).

A semantic proof of Tarski's theorem from Post's theorem is obtained by reductio ad absurdum as follows.

However, T * is-hard for all k. Thus the arithmetical hierarchy collapses at level n, contradicting Post's theorem.

In computability theory Post's theorem, named after Emil Post, describes the connection between the arithmetical hierarchy and the Turing degrees.

The statement of Post's theorem uses several concepts relating to definability and recursion theory.

Post's theorem uses the relativized arithmetical hierarchy as well as the unrelativized hierarchy just defined.

Post's theorem uses finitely iterated Turing jumps.

Post's theorem establishes a close connection between the arithmetical hierarchy and the Turing degrees of the form, that is, finitely iterated Turing jumps of the empty set.

Post's theorem states:

Post's theorem has many corollaries that expose additional relationships between the arithmetical

This is the relativization of the first part of Post's theorem to the oracle C.

# A set is defined to be arithmetical if it is for some n. Post's theorem shows that, equivalently, a set is arithmetical if and only if it is Turing reducible to for some m.

# REDIRECT Post's theorem

Post's theorem establishes a relationship between the Turing jump operator and the arithmetical hierarchy of sets of natural numbers.

The Washington Post's reviewer commented that " Lerman shows some life as Roy ", though his role was " an anomaly in a sea of insipidity ", while the San Francisco Chronicle's reviewer disliked Lerman's performance.

# The image visually identifies Laurens van der Post's military years ( as critically discussed in the article ), shows a picture of van der Post during the time the book was written, and provides a visual identification of another of van der Post's books.

# The image visually identifies Laurens van der Post's rise to fame ( as critically discussed in the article ), shows a picture of van der Post during the time the book was written, and provides a visual identification of another of van der Post's books.

* Washington Post's Interview with Taiwan's Leader, March 13, 2006

He always insisted on total editorial independence, regardless of whether or not his cartoons agreed with the Post's stance on political issues.

The New York Post's widely read Page Six gossip column claimed that he was converted to Catholicism by Father C. John McCloskey III, a leader of Opus Dei, " the secretive sect which drew so much attention with The Da Vinci Code.

* Novak Q & A with the Washington Post's Express occasioned by the publication of " The Prince of Darkness "

This model is sometimes called " Post's machine " or a Post-Turing machine, but is not to be confused with Post's tag machines or other special kinds of Post canonical system, a computational model using string rewriting and developed by Post in the 1920s but first published in 1943.

Post's rewrite technique is now ubiquitous in programming language specification and design, and so with Church's lambda-calculus is a salient influence of classical modern logic on practical computing.

However, in an interview with The Cairns Post's entertainment liftout timeOUT in April 2012, Boge stated: " To be honest, with that press release, it said I ’ d taken off to do other musical interests and that ’ s bollocks.

Emily Post's name has become synonymous, at least in North America, with proper etiquette and manners.

* Video-Washington Post's Rajiv Chandrasekaran discusses life in the Green Zone along with his book, Imperial Life in the Emerald City – ScribeMedia. Org

In 1972, WTOP-TV joined with the Evening Star Broadcasting Company ( owned by the Post's rival, the now-defunct Washington Star and licensee of WMAL-TV ) to build the Joint Tower, a, three-sided tower across the alley from Broadcast House at 4010 Chesapeake Street, NW.

No cast iron boxes have been made with An Post's wavy line logo, but there are plenty of sheet steel wall boxes across the Republic bearing adhesive decals or screen printed with An Post's distinctive yellow on green logo.

* William Hanley, " The condo king's crowning moment: Persistence pays off for Harry Stinson with Toronto tower ", National Post's Financial Post & FP Investing, September 25, 2004.

His accomplishments included revitalizing Marine Atlantic with two new ferries, initiating Canada Post's postal transformation, and overseeing the rollout of Transport Canada's Alberta and Saskatchewan infrastructure funds as a part of Canada's Economic Action Plan.

The earliest commercials ( produced by Post's ad agency D ' Arcy Masius Benton & Bowles with cooperation from Hanna-Barbera ) featured the animated Fred Flintstone and Barney Rubble ( as voiced by Alan Reed and Mel Blanc, respectively ) interacting cheerfully with live-action children, eating the cereal around a typical household breakfast table ; others showed Fred and Barney enjoying the cereal with their wives around their Bedrock breakfast table or in other locales and situations in Bedrock.

Annandale High School was ranked # 122, with a score of 1. 391, in The Washington Post's 2010 Challenge Index, an annual ranking of public high schools in the Washington Metropolitan Area.

* Long 2008 interview with the Washington Post's Express

The town changed its name to " Post " when it incorporated in 1914, the year of C. W. Post's death.

Since its inception, the quarterly journal has featured traditional centos and poems taken from textbooks, Marcel Duchamp paintings, Charles Manson's trial testimony, AOL search data, Emily Post's etiquette books, Wikipedia articles, Strunk and White's The Elements of Style, Wonder Woman comics and more.

Laurens Van der Post's two novels, A Story Like The Wind ( 1972 ) and its sequel, A Far-Off Place ( 1974 ), are about a white boy encountering a wandering Bushman and his wife, and how the Bushmen's life and survival skills save the white teenagers ' lives in a journey across the desert.

Because Post had revealed Country Squares before it was ready, Post's biggest competitor, Kellogg, was able to develop its own version in six months.

The Challenge Index formula is meant to serve not as a measure of the overall quality of a school, but of how effectively a school prepares its students for college, according to The Washington Post's website.

CPC Binary Barcode is Canada Post's proprietary symbology used in its automated mail sortation operations.