International Workshop On First-Order Theorem Proving
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International Workshop On First-Order Theorem Proving
The International Workshop on First-Order Theorem Proving (FTP) is a scientific meeting of researchers interested in automated theorem proving for first-order logic and related fields. FTP workshops are less formal than many conferences, but more formal than most workshops. While FTP proceedings are published informally, most FTP workshops have resulted in a special issue of a recognized peer-reviewed academic journal. FTP is one of the constituent meetings of the International Joint Conference on Automated Reasoning, and is merged with this conference in years where it takes place. FTP meetings * FTP '97 took place at the Research Institute for Symbolic Computation in Linz, Austria in Austria, October 27–28, 1997 * FTP '98 took place in Vienna, Austria, November 23–25, 1998 * FTP '00 took place in St. Andrews, Scotland, July 3–5, 2000 * In 2001 FTP was merged into the first IJCAR * FTP '03 took place in Valencia, Spain, June 12–14, 2003, as part of the Federated Confe ...
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Automated Theorem Proving
Automated theorem proving (also known as ATP or automated deduction) is a subfield of automated reasoning and mathematical logic dealing with proving mathematical theorems by computer programs. Automated reasoning over mathematical proof was a major impetus for the development of computer science. Logical foundations While the roots of formalised logic go back to Aristotle, the end of the 19th and early 20th centuries saw the development of modern logic and formalised mathematics. Frege's ''Begriffsschrift'' (1879) introduced both a complete propositional calculus and what is essentially modern predicate logic. His ''Foundations of Arithmetic'', published 1884, expressed (parts of) mathematics in formal logic. This approach was continued by Russell and Whitehead in their influential ''Principia Mathematica'', first published 1910–1913, and with a revised second edition in 1927. Russell and Whitehead thought they could derive all mathematical truth using axioms and inference ...
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Koblenz
Koblenz (; Moselle Franconian language, Moselle Franconian: ''Kowelenz''), spelled Coblenz before 1926, is a German city on the banks of the Rhine and the Moselle, a multi-nation tributary. Koblenz was established as a Roman Empire, Roman military post by Nero Claudius Drusus, Drusus around 8 B.C. Its name originates from the Latin ', meaning "(at the) confluence". The actual confluence is today known as the "Deutsches Eck, German Corner", a symbol of the unification of Germany that features an Emperor William monuments, equestrian statue of Emperor William I. The city celebrated its 2000th anniversary in 1992. It ranks in population behind Mainz and Ludwigshafen am Rhein to be the third-largest city in Rhineland-Palatinate. Its usual-residents' population is 112,000 (as at 2015). Koblenz lies in a narrow flood plain between high hill ranges, some reaching mountainous height, and is served by an express rail and autobahn network. It is part of the populous Rhineland. History ...
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Switzerland
). Swiss law does not designate a ''capital'' as such, but the federal parliament and government are installed in Bern, while other federal institutions, such as the federal courts, are in other cities (Bellinzona, Lausanne, Luzern, Neuchâtel, St. Gallen a.o.). , coordinates = , largest_city = Zürich , official_languages = , englishmotto = "One for all, all for one" , religion_year = 2020 , religion_ref = , religion = , demonym = , german: Schweizer/Schweizerin, french: Suisse/Suissesse, it, svizzero/svizzera or , rm, Svizzer/Svizra , government_type = Federalism, Federal assembly-independent Directorial system, directorial republic with elements of a direct democracy , leader_title1 = Federal Council (Switzerland), Federal Council , leader_name1 = , leader_title2 = , leader_name2 = Walter Thurnherr , legislature = Fe ...
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Bern
german: Berner(in)french: Bernois(e) it, bernese , neighboring_municipalities = Bremgarten bei Bern, Frauenkappelen, Ittigen, Kirchlindach, Köniz, Mühleberg, Muri bei Bern, Neuenegg, Ostermundigen, Wohlen bei Bern, Zollikofen , website = www.bern.ch Bern () or Berne; in other Swiss languages, gsw, Bärn ; frp, Bèrna ; it, Berna ; rm, Berna is the ''de facto'' capital of Switzerland, referred to as the "federal city" (in german: Bundesstadt, link=no, french: ville fédérale, link=no, it, città federale, link=no, and rm, citad federala, link=no). According to the Swiss constitution, the Swiss Confederation intentionally has no "capital", but Bern has governmental institutions such as the Federal Assembly and Federal Council. However, the Federal Supreme Court is in Lausanne, the Federal Criminal Court is in Bellinzona and the Federal Administrative Court and the Federal Patent Court are in St. Gallen, exemplifying the federal nature of the Confederation. ...
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Norway
Norway, officially the Kingdom of Norway, is a Nordic country in Northern Europe, the mainland territory of which comprises the western and northernmost portion of the Scandinavian Peninsula. The remote Arctic island of Jan Mayen and the archipelago of Svalbard also form part of Norway. Bouvet Island, located in the Subantarctic, is a dependency of Norway; it also lays claims to the Antarctic territories of Peter I Island and Queen Maud Land. The capital and largest city in Norway is Oslo. Norway has a total area of and had a population of 5,425,270 in January 2022. The country shares a long eastern border with Sweden at a length of . It is bordered by Finland and Russia to the northeast and the Skagerrak strait to the south, on the other side of which are Denmark and the United Kingdom. Norway has an extensive coastline, facing the North Atlantic Ocean and the Barents Sea. The maritime influence dominates Norway's climate, with mild lowland temperatures on the se ...
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Oslo
Oslo ( , , or ; sma, Oslove) is the capital and most populous city of Norway. It constitutes both a county and a municipality. The municipality of Oslo had a population of in 2022, while the city's greater urban area had a population of in 2019, and the metropolitan area had an estimated population of in 2021. During the Viking Age the area was part of Viken. Oslo was founded as a city at the end of the Viking Age in 1040 under the name Ánslo, and established as a ''kaupstad'' or trading place in 1048 by Harald Hardrada. The city was elevated to a bishopric in 1070 and a capital under Haakon V of Norway around 1300. Personal unions with Denmark from 1397 to 1523 and again from 1536 to 1814 reduced its influence. After being destroyed by a fire in 1624, during the reign of King Christian IV, a new city was built closer to Akershus Fortress and named Christiania in honour of the king. It became a municipality ('' formannskapsdistrikt'') on 1 January 1838. The city fu ...
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United Kingdom
The United Kingdom of Great Britain and Northern Ireland, commonly known as the United Kingdom (UK) or Britain, is a country in Europe, off the north-western coast of the continental mainland. It comprises England, Scotland, Wales and Northern Ireland. The United Kingdom includes the island of Great Britain, the north-eastern part of the island of Ireland, and many smaller islands within the British Isles. Northern Ireland shares a land border with the Republic of Ireland; otherwise, the United Kingdom is surrounded by the Atlantic Ocean, the North Sea, the English Channel, the Celtic Sea and the Irish Sea. The total area of the United Kingdom is , with an estimated 2020 population of more than 67 million people. The United Kingdom has evolved from a series of annexations, unions and separations of constituent countries over several hundred years. The Treaty of Union between the Kingdom of England (which included Wales, annexed in 1542) and the Kingdom of Scotland in 170 ...
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Liverpool
Liverpool is a city and metropolitan borough in Merseyside, England. With a population of in 2019, it is the 10th largest English district by population and its metropolitan area is the fifth largest in the United Kingdom, with a population of 2.24 million. On the eastern side of the Mersey Estuary, Liverpool historically lay within the ancient hundred of West Derby in the county of Lancashire. It became a borough in 1207, a city in 1880, and a county borough independent of the newly-created Lancashire County Council in 1889. Its growth as a major port was paralleled by the expansion of the city throughout the Industrial Revolution. Along with general cargo, freight, and raw materials such as coal and cotton, merchants were involved in the slave trade. In the 19th century, Liverpool was a major port of departure for English and Irish emigrants to North America. It was also home to both the Cunard and White Star Lines, and was the port of registry of the ocean li ...
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Germany
Germany,, officially the Federal Republic of Germany, is a country in Central Europe. It is the second most populous country in Europe after Russia, and the most populous member state of the European Union. Germany is situated between the Baltic and North seas to the north, and the Alps to the south; it covers an area of , with a population of almost 84 million within its 16 constituent states. Germany borders Denmark to the north, Poland and the Czech Republic to the east, Austria and Switzerland to the south, and France, Luxembourg, Belgium, and the Netherlands to the west. The nation's capital and most populous city is Berlin and its financial centre is Frankfurt; the largest urban area is the Ruhr. Various Germanic tribes have inhabited the northern parts of modern Germany since classical antiquity. A region named Germania was documented before AD 100. In 962, the Kingdom of Germany formed the bulk of the Holy Roman Empire. During the 16th ce ...
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IJCAR
The International Joint Conference on Automated Reasoning (IJCAR) is a series of conferences on the topics of automated reasoning, automated deduction, and related fields. It is organized semi-regularly as a merger of other meetings. IJCAR replaces those independent conferences in the years it takes place. The conference is organized by CADE Inc., and CADE has always been one of the conferences partaking in IJCAR. * The first IJCAR was held in Siena, Italy in 2001 as a merger of CADE, FTP, and TABLEAUX. * The second IJCAR was held in Cork, Ireland in 2004 as a merger of CADE, FTP, TABLEAUX, FroCoS and CALCULEMUS. * The third IJCAR was held as an independent subconference of the fourth Federated Logic Conference in Seattle, United States, and merged CADE, FTP, TABLEAUX, FroCoS and TPHOLs. * The fourth IJCAR was held in Sydney, Australia in 2008, and merged CADE, FroCoS, FTP and TABLEAUX. * The fifth IJCAR was held in 2010 as an independent subconference of the fifth Federated ...
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First-order Logic
First-order logic—also known as predicate logic, quantificational logic, and first-order predicate calculus—is a collection of formal systems used in mathematics, philosophy, linguistics, and computer science. First-order logic uses quantified variables over non-logical objects, and allows the use of sentences that contain variables, so that rather than propositions such as "Socrates is a man", one can have expressions in the form "there exists x such that x is Socrates and x is a man", where "there exists''"'' is a quantifier, while ''x'' is a variable. This distinguishes it from propositional logic, which does not use quantifiers or relations; in this sense, propositional logic is the foundation of first-order logic. A theory about a topic is usually a first-order logic together with a specified domain of discourse (over which the quantified variables range), finitely many functions from that domain to itself, finitely many predicates defined on that domain, and a set of ax ...
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Spain
, image_flag = Bandera de España.svg , image_coat = Escudo de España (mazonado).svg , national_motto = ''Plus ultra'' (Latin)(English: "Further Beyond") , national_anthem = (English: "Royal March") , image_map = , map_caption = , image_map2 = , capital = Madrid , coordinates = , largest_city = Madrid , languages_type = Official language , languages = Spanish language, Spanish , ethnic_groups = , ethnic_groups_year = , ethnic_groups_ref = , religion = , religion_ref = , religion_year = 2020 , demonym = , government_type = Unitary state, Unitary Parliamentary system, parliamentary constitutional monarchy , leader_title1 = Monarchy of Spain, Monarch , leader_name1 = Felipe VI , leader_title2 = Prime Minister of Spain ...
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