[permalink] [id link]
The Church – Rosser theorem also holds for many variants of the lambda calculus, such as the simply-typed lambda calculus, many calculi with advanced type systems, and Gordon Plotkin's beta-value calculus.
from
Wikipedia
Some Related Sentences
Church and –
* 1830 – The Church of Christ, the original church of the Latter Day Saint movement, is organized by Joseph Smith, Jr. and others at Fayette or Manchester, New York.
* 1860 – The Reorganized Church of Jesus Christ of Latter Day Saints — later renamed Community of Christ — is organized by Joseph Smith III and others at Amboy, Illinois
* 1893 – Salt Lake Temple of The Church of Jesus Christ of Latter-day Saints is dedicated by Wilford Woodruff.
* 1866 – Felix-Raymond-Marie Rouleau, Canadian cardinal of the Roman Catholic Church ( d. 1931 )
* 1966 – The Church of Satan is established at the Black House in San Francisco, California.
* 1960 – David Miscavige, American leader of the Church of Scientology
* 1845 – Ödön Lechner, Hungarian architect, designed the Museum of Applied Arts and the Church of St. Elisabeth ( d. 1914 )
* 1962 – Representatives from the Russian Orthodox Church and Vatican City meet in Metz, France, and come to an agreement wherein the Russian church would send observers to the Second Vatican Council and in exchange, the Roman Catholic Church would refuse to condemn Communism.
* 1844 – The Quorum of the Twelve Apostles, headed by Brigham Young, is reaffirmed as the leading body of The Church of Jesus Christ of Latter-day Saints ( LDS Church ).
* 1925 – During the Communist St Nedelya Church assault in Sofia, 150 are killed and 500 are wounded.
* 1932 – Dallin H. Oaks, American attorney, jurist, author, and religious leader, apostle of The Church of Jesus Christ of Latter-day Saints
* 1927 – Metropolitan Sergius proclaims the declaration of loyalty of the Russian Orthodox Church to the Soviet Union.
* 1927 – Thomas S. Monson, American religious leader and author, 16th President of The Church of Jesus Christ of Latter-day Saints
* 1964 – Kong Hee, Singaporean pastor, founded the City Harvest Church
* Saint Anastasius Sinaita ( of Sinai ) – theologian, Father of the Eastern Orthodox Church, monk, priest, and abbot of the monastery at Mt.
* Anastasius Bibliothecarius ( c. 810 – 878 ) – librarian of the Church of Rome, scholar and statesman, sometimes identified as an Antipope
* 2002 – Israeli forces surround the Church of the Nativity in Bethlehem into which armed Palestinians had retreated.
* 1954 – George Church, American biologist
* 1852 – At a general conference of the The Church of Jesus Christ of Latter-day Saints, Brigham Young explains the Adam – God doctrine, an important part of the theology of Mormon fundamentalism.
* 1864 – Charles Lot Church, Canadian politician ( b. 1777 )
* 1921 – 1923: Bell tower of Kauhajärvi Church, Lapua, Finland
Church and Rosser
* Church, along with mathematician Stephen Kleene and logician J. B. Rosser created a formal definition of a class of functions whose values could be calculated by recursion.
Papers include those by Godel, Church, Rosser, Kleene, and Post.
Papers include those by Godel, Church, Rosser, Kleene, and Post.
Alonzo Church, inventor of the lambda calculus, developed a higher-order logic commonly called Church's Theory of Types, in order to avoid the Kleene – Rosser paradox afflicting the original pure lambda calculus.
However, unlike Church, Kleene, and Rosser, Curry did not give up on the foundational approach, saying that he did not want to " run away from paradoxes.
He is best known for the lambda calculus, Church – Turing thesis, proving the undecidability of the Entscheidungsproblem, Frege – Church ontology, and the Church – Rosser theorem.
The Church – Rosser theorem states that if there are two distinct reductions starting from the same lambda calculus term, then there exists a term that is reachable from each reduct via a ( possibly empty ) sequence of reductions.
Viewing the lambda calculus as an abstract rewriting system, the Church – Rosser theorem is a theorem of confluence.
The theorem was proved in 1936 by Alonzo Church and J. Barkley Rosser.
Plotkin also used a Church – Rosser theorem to prove that the evaluation of functional programs ( for both lazy evaluation and eager evaluation ) is a function from programs to values ( a subset of the lambda terms ).
* Alonzo Church and J. Barkley Rosser.
John Barkley Rosser Sr. ( December 6, 1907 – September 5, 1989 ) was an American logician, a student of Alonzo Church, and known for his part in the Church – Rosser theorem, in lambda calculus.
# REDIRECT Church – Rosser theorem
Church and theorem
This result dates from the works of Church, Gödel and Turing in the 1930s ( see the halting problem and Rice's theorem ).
Church and Turing independently demonstrated that Hilbert's Entscheidungsproblem ( decision problem ) was unsolvable, thus identifying the computational core of the incompleteness theorem.
1936-1937: Alonzo Church and Alan Turing, respectively, published independent papers showing that a general solution to the Entscheidungsproblem is impossible: the universal validity of statements in first-order logic is not decidable ( it is only semi-decidable as given by the completeness theorem ).
Church and also
The Roman Catholic Church sanctions only abstention or the rhythm method, also known as the use of the infertile or safe period.
By the end of the century the Roman Catholic Church was beginning to make itself felt, mainly through such institutions as hospitals but also through its attitude towards organized labour.
We do well to remind ourselves that from men and women of New England ancestry also issued the Church of Jesus Christ of Latter Day Saints, the Seventh Day Adventists, Christian Science, the American Board of Commissioners for Foreign Missions, the American Home Missionary Society, the American Bible Society, and New England theology.
In addition to other member churches, the churches of the Anglican Communion are in full communion with the Old Catholic churches of the Union of Utrecht and the Scandinavian Lutheran churches of the Porvoo Communion in Europe, the India-based Mar Thoma and Malabar Independent Syrian churches and the Philippine Independent Church, also known as the Aglipayan Church.
Thus the only member churches of the present Anglican Communion existing by the mid-18th century were the Church of England, its closely linked sister church, the Church of Ireland ( which also separated from Roman Catholicism under Henry VIII ) and the Scottish Episcopal Church which for parts of the 17th and 18th centuries was partially underground ( it was suspected of Jacobite sympathies ).
In Western Christianity, this day is observed principally in the Catholic Church, although some churches of Anglican Communion and the Old Catholic Churches also celebrate it.
In the Church of England, the Bishop of Norwich, by royal decree given by Henry VIII, also holds the honorary title of " Abbot of St.
* The Church of Jesus Christ of Latter-Day Saints also rejects Trinitarian doctrine, although other churches that are part of the Latter-Day Saint movement still adhere to the Nicene Creed.
Despite being quite religious, he was also interested in mathematics and science, and sometimes is claimed to have contradicted the teachings of the Church in favour of scientific theories.
In the Eastern Orthodox Church he is also considered a saint, his feast day being celebrated on 15 June .< ref >
Cyprian also laid great emphasis on the fact that any minister who broke with the Church lost ipso facto the gift of the Spirit which had validated his orders.
Church, Ministry and Sacraments in the New Testament Paternoster Press: 1993, p. 94f </ ref > He also points out that when Ignatius writes to the Romans, there is no mention of a bishop of the Roman Church, " which we may suppose had not not yet adopted the monarchical episcopate.
Methodism also buttresses this argument with the leg of Sacred Tradition of the Wesleyan Quadrilateral by citing the Church Fathers, many of whom concur with this view.
The four dioceses of Wales were formerly also under the Province of Canterbury until 1920 when they were transferred from the established Church of England to the disestablished Church in Wales.
However, the Church declared that "' Extreme unction ' ... may also and more fittingly be called ' anointing of the sick '" ( emphasis added ), and has itself adopted the latter term, while not outlawing the former.
Anointing of the Sick is one of the seven Sacraments recognized by the Catholic Church, and is associated with not only bodily healing but also forgiveness of sins.
He was also active as deacon and elder of the Reformed Church, and a member of the high court of Holland.
Troas is also a titular see of the Orthodox Church under the Ecumenical Patriarchate.
296-298 – d. 2 May 373 ), also referred to as St. Athanasius the Great, St. Athanasius I of Alexandria, St Athanasius the Confessor and ( primarily in the Coptic Orthodox Church ) St Athanasius the Apostolic, was the 20th bishop of Alexandria.
Athanasius is counted as one of the four Great Doctors of the Church in the Roman Catholic Church as well as one of the Great Doctors of the Church in Eastern Orthodoxy, where he is also labeled the " Father of Orthodoxy ".
0.432 seconds.