Samantha912/NLP_A2_WTH huggingface dataset:
In proof theory, an area of mathematical logic, proof compression is the problem of algorithmically compressing formal proofs. The developed algorithms can be used to improve the proofs generated by automated theorem proving tools such as SAT solvers, SMT-solvers, first-order theorem provers and proof assistants.

Problem Representation
In propositional logic a resolution proof of a clause  from a set of clauses C is a directed acyclic graph (DAG): the input nodes are axiom inferences (without premises) whose conclusions are elements of C, the resolvent nodes are resolution inferences, and the proof has a node with conclusion .

The DAG contains an edge from a node  to a node  if and only if a premise of  is the conclusion of . In this case,  is a child of , and  is a parent of . A node with no children is a root.

A proof compression algorithm will try to create a new DAG with fewer nodes that represents a valid proof of  or, in some cases, a valid proof of a subset of .

A simple example
Let's take a resolution proof for the clause  from the set of clauses

Here we can see:
  and  are input nodes. 
 The node  has a pivot , 
 left resolved literal 
 right resolved literal 
  conclusion is the clause 
  premises are the conclusion of nodes  and  (its parents)
 The DAG would be

  and  are parents of 
  is a child of  and 
  is a root of the proof

A (resolution) refutation of C is a resolution proof of  from C. It is a common that given a node , to refer to the clause  or ’s clause meaning the conclusion clause of , and (sub)proof  meaning the (sub)proof having  as its only root.

In some works it can be found an algebraic representation of a resolution inference. The resolvent of  and  with pivot  can be denoted as . When the pivot is uniquely defined or irrelevant, we omit it and write simply . In this way, the set of clauses can be seen as an algebra with a commutative operator; and terms in the corresponding term algebra denote resolution proofs in a notation style that is more compact and more convenient for describing resolution proofs than the usual graph notation.

In our last example the notation of the DAG would be  or simply 

We can identify

Compression algorithms
Algorithms for compression of sequent calculus proofs include Cut-introduction and Cut-elimination.

Algorithms for compression of propositional resolution proofs include 
RecycleUnits,
RecyclePivots,
RecyclePivotsWithIntersection,
LowerUnits,
LowerUnivalents,
Split,
Reduce&Reconstruct, and Subsumption.

Notes

Proof theory
UNICEF Pakistan is one of country offices of UNICEF. It works for the rights of children in Pakistan, including their right to  education, healthcare and protection from abuse and exploitation. It also advocates for political change in support of children especially those hardest to reach and most at risk.

UNICEF Pakistan works with the Ministry of Social Welfare and Special Education, Government of Pakistan, Ministry of Parliamentary Affairs, Provincial Social Welfare Departments, NGOs, and other UN agencies to protect children from abuse, exploitation, violence, and discrimination.

Convention on the Rights of the Child
The 1989 United Nations Convention on the Rights of the Child is a comprehensive human rights treaty which enshrines specific children’s rights in international law. These rights define universal principles and standards for the status and treatment of children worldwide.

The Convention spells out a specific role for UNICEF, in its capacity as the UN body responsible for the rights of children. UNICEF is required to promote the effective implementation of the Convention and to encourage international cooperation for the benefit of children. UNICEF is also entitled to be represented when each country’s implementation of the Convention is considered by the Committee every five years.

References

External links
 Unicef Pakistan

Child-related organisations in Pakistan
Educational organisations based in Pakistan
UNICEF
Pakistan and the United Nations
Darri Freyr Atlason is an Icelandic basketball coach and sports commentator. In 2019, he led Valur women's team to both its first national championship and first Icelandic Cup win. As a player, he won two national championships with KR in 2014 and 2015.

Playing career
Darri came up through the junior ranks of KR and played his first senior game with the team during the 2011–12 Úrvalsdeild karla season. He retired from playing in 2015 to fully focus on coaching.

Coaching career
Darri was hired as the head coach of 1. deild kvenna club KR in 2015. He led them to second place finish during the 2015–2016 season and was named the 1. deild kvenna Coach of the year.

Prior to coaching senior teams Darri coached youth programs in KR, winning multiple national and cup championships in various age groups.

In 2017, Darri was hired as the head coach of Valur of the top-tier Úrvalsdeild kvenna. During his first season he led the team to the Úrvalsdeild finals where it lost to Haukar.

In 2019, he guided Valur to the best record in the league, the Icelandic Cup and its first national championship.

The team opened the 2019–20 season by defeating Keflavík, 105-81, in the annual Icelandic Super Cup. It was Valur's first Super Cup win and the victory made them the holders of all four major national crowns, the others being the national championship, the national cup and the league championship which is awarded for the best regular season record in the Úrvalsdeild.

In beginning of May 2020, Darri stepped down as head coach of Valur. Later that month, on 25 May, he was introduced as the new head coach of reigning men's national champions KR.

During the 2021–22 season, he led KR to a fifth place finish. In the playoffs, KR beat Reykjavík rivals Valur in the first round but got swept by Keflavík in the semi-finals. In June 2021, he resigned as head coach to focus on his work in business development for the financial technology company Lucinity.

Personal life
Darri Freyr is the older brother of basketball player Almar Orri Atlason.

Awards, titles and accomplishments

Coaching

Individual awards
1. deild kvenna Coach of the year : 2019

Titles
Icelandic champion: 2019
Icelandic Cup: 2019
Icelandic Super Cup: 2019

References

External links
Icelandic statistics at kki.is

1994 births
Living people
Darri Freyr Atlason
Darri Freyr Atlason
Darri Freyr Atlason
Darri Freyr Atlason
Darri Freyr Atlason
Darri Freyr Atlason
The 2000 Scotland rugby union tour of New Zealand was a series of matches played in June–July 2000 in New Zealand by Scotland national rugby union team.

Results 
'Scores and results list Scotland's points tally first.

Scotland
tour
Scotland national rugby union team tours
tour
Scotland national rugby union team tours of New Zealand
Oxyfedrine is a vasodilator and a β adrenoreceptor agonist. It was found to depress the tonicity of coronary vessels, improve myocardial metabolism (so that heart can sustain hypoxia better) and also exert a positive chronotropic and inotropic effects, thereby not precipitating angina pectoris. The latter property (positive chronotropic and inotropic effects) is particularly important, because other vasodilators used in angina may be counter productive causing coronary steal phenomenon. 

Synergistic effects with antibiotics have been suggested.

Synthesis

Mannich condensation of PPA [14838-15-4] (1) with formaldehyde and m-acetanisole (3-Acetylanisole) [586-37-8] (2) yields oxyfedrine (3).

References 

Vasodilators
Phenol ethers
Phenylethanolamines
Substituted amphetamines
Aromatic ketones
La culpa de los padres is a Mexican telenovela produced by Televisa for Telesistema Mexicano in 1963.

Cast 
Silvia Derbez
Eduardo Fajardo
Enrique Aguilar
Sergio Márquez
Fernando Luján
Jana Kleinburg
Pilar Sen
Irma Lozano
Aurora Alvarado
Pituka de Foronda
Imelda Miller
Arturo Correa
Arturo Ferrer
Lilia Juáres
Luis Lara

References

External links 

1963 telenovelas
Televisa telenovelas
1963 Mexican television series debuts
1963 Mexican television series endings
Spanish-language telenovelas
The Galileo Cliffs () are a line of east–west cliffs,  long, standing between Grotto Glacier and Jupiter Glacier,  west of Ablation Point, in eastern Alexander Island, Antarctica. They were mapped from trimetrogon air photography taken by the Ronne Antarctic Research Expedition, 1947–48, and from survey by the Falkland Islands Dependencies Survey, 1948–50. They were named by the UK Antarctic Place-Names Committee from association with Jupiter Glacier after Galileo Galilei, the Italian astronomer who discovered the Galilean moons, the four named satellites of Jupiter (1564-1642).

See also

 Europa Cliffs
 Keystone Cliffs
 Succession Cliffs

References

Cliffs of Alexander Island
Francis Faulkner may refer to:

Francis Barrett Faulkner, artist
Major Francis Faulkner, of Faulkner House

See also
Frank Faulkner (disambiguation)
Paweł Skórzewski (Ogończyk coat of arms) (born July 29, 1744 in Mączniki - died in 1819) was Polish Brigadier General of the Duchy of Warsaw, a member of the Bar Confederation, a delegate to the Polish Sejm, senator of the Kingdom of Poland and wojewoda of Kalisz.

References

Polish soldiers
1819 deaths
1744 births
Polish commanders of the Napoleonic Wars
Ridgeville Corners is an unincorporated community and census-designated place (CDP) in southern Ridgeville Township, Henry County, Ohio, United States. It has a post office with the ZIP code 43555. The population was 416 at the 2020 census.

History
Ridgeville Corners was laid out at an unknown date as an early trading point of Ridgeville Township. The First Congregational Church in Ridgeville Corners was a stop on the Underground Railroad in the mid-1800s. A post office has been in operation at Ridgeville Corners since 1841.

Geography
Ridgeville Corners is located along U.S. Route 6, approximately  northwest of Napoleon, the Henry county seat. It is located  southeast of Bryan.

According to the United States Census Bureau, the CDP has an area of , all of it recorded as land. As its name suggests, Ridgeville Corners sits on high ground, with the northwest side draining towards the Tiffin River, a south-flowing tributary of the Maumee River, and the southeast side of the community draining directly to the Maumee.

Demographics

Gallery

References

Census-designated places in Henry County, Ohio
Census-designated places in Ohio
In agricultural economics and development economics, Bennett's law observes that as incomes rise, people eat relatively fewer calorie-dense starchy staple foods and relatively more nutrient-dense meats, oils, sweeteners, fruits, and vegetables. Bennett's law is related to Engel's law, which considers the relationship between rising household incomes and total food spending.

History 

The concept of the declining "starchy-staple ratio" originated in Merrill K. Bennett's 1941 paper, "International Contrasts in Food Consumption." The first published attribution of the concept to Bennett and naming as Bennett's law appears in the proceedings of a 1959 conference  held by the American Society of Civil Engineers.

Contemporary use and implications 

Bennett's law is now a "well-established stylized fact" referenced in university textbooks, reports of the FAO and the World Bank, and many global food system models. It has particular relevance to the Nutrition Transition. One implication of Bennett's law is that global demand for animal-based foods is predicted to increase more rapidly than human population growth. Alternative dietary proposals such as the EAT-Lancet Commission's "Planetary diet" and new alternative protein technologies have developed in response to this predicted growth in global demand for animal-based foods. Because animal-based foods are generally considered to have larger environmental impacts than plant-based foods, Bennett's law suggests that, holding other factors constant, the environmental impacts of agricultural production will increase in absolute and relative terms as economies continue to grow. By adopting processes of "sustainable intensification" in agriculture, it has been argued that these environmental impacts could be greatly lessened.

References 

Economics laws
Eponyms
Consumer theory
The list of ship decommissionings in 2011 includes a chronological list of ships decommissioned in 2011.


See also

References

2011
 
Ship
is a Japanese novelist. He is from the Hokkaido Prefecture, however currently resides in Tokyo.

Career
In 2007, he debuted with the first volume of the  series after it won the 1st Shogakukan Light Novel Awards.

In 2011, his series  began publishing. The same year, his novel Koi no Cupid wa Handgun o Buppanasu (恋のキューピッドはハンドガンをぶっ放す。) was published.

Black Bullet received an anime adaptation in 2014.

Works
  (Illustrated by kyo, published by Gagaga Bunko, 6 volumes, 2007 –)
  (Illustrated by Saki Ukai, published by Dengeki Bunko, 7 volumes, 2011 –)
 Koi no Cupid wa Handgun o Buppanasu (恋のキューピッドはハンドガンをぶっ放す。)  (Illustrated by aki, published by Gagaga Bunko, 2011, )

References

External links

 午前四時起きのライターズハイ  - Blog
 

Living people
1985 births
Writers from Hokkaido
Japanese science fiction writers
Japanese mystery writers
Japanese novelists
Light novelists
Stenotenes aspasia is a species of moth of the family Tortricidae. It is found in New Guinea.

References

Moths described in 1972
Tortricini
Moths of New Guinea
Garry Lewis Jr. (born August 25, 1967) is a former American football defensive back who played four seasons in the National Football League (NFL) with the Los Angeles Raiders, Tampa Bay Buccaneers and Kansas City Chiefs. He was drafted by the Raiders in the seventh round of the 1990 NFL Draft. He played college football at Alcorn State University and attended Walter L. Cohen High School in New Orleans, Louisiana. Lewis was also a member of the Ottawa Rough Riders and Hamilton Tiger-Cats of the Canadian Football League.

References

External links
Just Sports Stats

Living people
1967 births
Players of American football from New Orleans
Players of Canadian football from New Orleans
American football defensive backs
Canadian football defensive backs
African-American players of American football
African-American players of Canadian football
Alcorn State Braves football players
Los Angeles Raiders players
Tampa Bay Buccaneers players
Kansas City Chiefs players
Ottawa Rough Riders players
Hamilton Tiger-Cats players
21st-century African-American people
20th-century African-American sportspeople
Nair Saab is a 1989 Malayalam language  action thriller film, written by Dennis Joseph and directed by Joshiy and produced by Liberty Productions. It stars Mammootty, Suresh Gopi, Mukesh and Geetha. It was released on the occasion of Onam. Nair Saab was one of the biggest blockbusters of Mammootty's career and established his super stardom

Plot 
A new batch of trainees arrives at the army training center (SAT) situated near the border in Kashmir. Their trainer is Major Nair, who is a man known for his hard-and-fast training strategies. The  movie is treated with humour arising from the intense training of the guys. But, things take a U-turn when the underworld led by Kumar buys out two guys from the batch and uses them for importing drugs from the neighboring country, which is hinted as Pakistan (though never mentioned in the movie).

In the turn of events, one trainee, Antony is killed by the hands of underworld, while the blame falls on the trainer, Nair. Everybody turns against Nair and he has to flee, only to come back later. The plot thickens as well with the arrival of a smuggler and partner of Kumar, James as the new trainer, Major Nambiar for SAT with the intention to sell the ammunition stored there, which is worth millions, to the enemy state. Nair intervenes at the right time and with the help of his students, spoils all the evil plans of the traitors.

Cast 
Mammootty as Major Ravindran Nair
Suresh Gopi as Cadet Gopakumar
Mukesh as Cadet Antony
Geetha as  Savitri/Radha
Sumalatha as Prabha
Lizy as Parvathi
Vijayaraghavan as Cadet Rishi
Mohan Jose as Cadet Joseph
K. B. Ganesh Kumar as Cadet Ganeshan
Siddique as Cadet Siddique
Maniyanpilla Raju as Cadet Chandran Pillai
Kunchan as Cadet Mohan
Devan as Kumar
Lalu Alex as James/A. K. K. Nambiar
Jagannatha Varma  as Brigadier Varma
Azeez as Devayya
Mamukkoya as Chef Koya

Release 
The film was released on 8 September 1989.

Box office 
The film was commercial success.

Music 
The film had a successful soundtrack composed by S. P. Venkatesh, with lyrics by Shibu Chakravarthy.

"Hey Giridharane" – Vani Jairam
"Pazhayoru Paattile" – Sujatha Mohan, M. G. Sreekumar
"Punchavayalu" – M. G. Sreekumar

References

External links 
 

1980s Malayalam-language films
1989 films
Films about terrorism in India
Indian Army in films
Films directed by Joshiy
India–Pakistan relations in popular culture
Films about arms trafficking
Films about drugs
Indian gangster films
Jacob Tengström (4 December 1755 - 26 December 1832) was a Finnish prelate who became the first Archbishop of Turku and Finland.

Biography

Tengström was born on 4 December 1755 in Kokkola, Finland. He was the nephew of Anders Chydenius and the father of , a zoologist, and uncle of , a historian and Fredrika Runeberg, a novelist.

Tengström published the Finnish-Swedish children's books Läse-öfning för mina barn and Tidsfördrif för mina barn in 1795 and 1796, latter of which was translated into Finnish in 1836. He was editor of the Tidningar Utgifne Af et Sällskap i Åbo from 1791 to 1793 and was involved in the founding of the Finnish Bible Society and the Musical Society in Turku. In 1796, he became a member of the society Pro Fide et Christianismo, founded to promote Christian education.

During the Finnish war, when it became apparent that Sweden would not be able to defend Finland against the Russian Empire, he worked actively to make Finland adapt to the new situation and to promote Finland's interests in Russia. He opposed resistance. He participated actively in the preparations for the Diet of Porvoo which saw the establishment of the Evangelical Lutheran Church of Finland as a separate and independent church from the Church of Sweden. He also became chairman of a committee that drafted proposals for supreme governance for the Grand Duchy of Finland. Tengström's good relationship with Emperor Alexander I influenced the development of the Grand Duchy of Finland.

As a bishop and archbishop, Tengström also worked with extensive reforms of the service life. The ecclesiastical books were under revision in Sweden when the war broke out and the reforms in Finland were led by Tengström. Also a new church law was founded, where the church got a freer position.

He succeeded Jakob Gadolin upon his death in 1802 where he became bishop of Turku until 1817 when the title of "Bishop of Turku" ceased to exist and was elevated to archiepiscopal rank in 1817. The title of the see was changed to Archbishop of Turku and Finland, and Tengström became the first archbishop until his death in 1832.

See also
List of Bishops of Turku

References

Further reading

External links

Lutheran archbishops and bishops of Turku
19th-century Lutheran archbishops
19th-century Lutheran bishops
1755 births
1832 deaths
People from Kokkola
Mohakhali is a neighborhood of Dhaka city, the capital of Bangladesh.

Events 

Korail Slum is located in Mohakhali. In December 2016 a fire destroyed over 500 shanty homes in the slum. In December the Saat Tola slum which is also located in the slum caught fire.

External links

References 

Dhaka
Neighbourhoods in Bangladesh
Kixx may refer to:

 Kixx (U.S. Gold), a defunct budget video game label associated with former publisher U.S. Gold
 KIXX, a radio station broadcasting a Hot AC format serving the Watertown, South Dakota, USA area
 Philadelphia KiXX, an American indoor soccer team
 Kixx, also known as Experiment 601, a fictional alien character in Disney's Lilo & Stitch franchise
 "Kixx", an episode of Lilo & Stitch: The Series that features the alien

See also

 Kix (disambiguation)
 Kick (disambiguation), includes uses of the plural, "kicks"
Knauer is a German surname. Descendants from the Charlemagne line. The Palace at Coburg. Notable people with the surname include:

Anja Knauer (born 1979), German actress
Anna Knauer (born 1995), German former professional racing cyclist
Elfriede Knauer (1926–2010), German Classicist and Ancient historian
Emil Knauer (1867–1935), Austrian gynecologist and obstetrician
Friedrich Knauer (chemist) (1897–1979), German physical chemist
Friedrich Knauer (zoologist) (1850–1926), Austrian zoologist
Georg Nicolaus Knauer (1926–2018), German-American classical philologist
Gustav A. Knauer (1886–1950), German art director
Joseph Knauer, Catholic Bishop of Wroclaw
Joshua Knauer
Marlon Knauer (born 1987), German singer
Sebastian Knauer (born 1971), German classical pianist
Thomas Knauer (born 1964), retired German football defender
Virginia Knauer (1915–2011), American politician

See also
Knauers, Pennsylvania, community in Brecknock Township, Berks County, Pennsylvania
Knauertown, Pennsylvania, village in Warwick Township, Chester County
John Knauer House and Mill, also known as Knauer Mill, Warwick Township, Chester County, Pennsylvania
Knau, municipality in the district Saale-Orla-Kreis, in Thuringia

German-language surnames
Surnames from nicknames
Toponymic surnames
Hans Otto (29 September 1922, Leipzig–29 October 1996, Freiberg, Saxony) was a German organist, harpsichordist and cantor.

Life and music 
Born in Leipzig, Hans Otto was a member of the Thomanerchor, the choir of the St. Thomas Church, Leipzig. Between 1945 and 1948 he studied under the organist Karl Straube at the Institute of Church Music of the University of Music and Theatre Leipzig. After a short spell at the Emmauskirche in Leipzig, Otto moved to Dresden in 1948 as choirmaster, organist and cantor at the Heilig-Geist-Kirche. He remained there until 1968, while still teaching organ pupils at the Dresden Institute of Church Music until 1976. In 1968 he was appointed as Kirchenmusikdirektor (KMD, director of church music) and organist at Freiberg Cathedral. Fifteen years later he became organist at the Georg Philipp Telemann Concert Hall in Magdeburg. 

His public duties involved all matters concerning church music in the region. Over many years he collaborated with the Dresdner Kreuzchor and their choral conductor Rudolf Mauersberger. In addition to numerous organ concerts, Otto has become known for his recordings of the music of Johann Sebastian Bach on Silbermann organs in Saxony. 

In 1980 he was recognized by an Art Prize of the German Democratic Republic.

References 

1922 births
1996 deaths
German organists
Kirchenmusikdirektor