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Sequent calculus
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==References== * {{cite book|last=Buss|first=Samuel R.|authorlink = Samuel R. Buss|chapter=An introduction to proof theory | editor = Samuel R. Buss | title=Handbook of proof theory | pages = 1–78 | url = http://math.ucsd.edu/~sbuss/ResearchWeb/handbookI/ | publisher = Elsevier | year = 1998 | isbn = 0-444-89840-9 }} * {{cite book|last=Curry|first=Haskell Brooks|author-link=Haskell Curry|title=Foundations of mathematical logic|orig-year=1963|year=1977|publisher=Dover Publications Inc.|location=New York|isbn=978-0-486-63462-3}} * {{Cite journal|last=Gentzen|first=Gerhard Karl Erich|author-link=Gerhard Gentzen|title=Untersuchungen über das logische Schließen. I|journal=[[Mathematische Zeitschrift]]|volume=39|issue=2|year=1934|doi=10.1007/BF01201353|pages=176–210|s2cid=121546341|url=http://gdz.sub.uni-goettingen.de/dms/resolveppn/?PPN=GDZPPN002375508|url-access=subscription}} * {{Cite journal|last=Gentzen|first=Gerhard Karl Erich|author-link=Gerhard Gentzen|title=Untersuchungen über das logische Schließen. II|journal=Mathematische Zeitschrift|volume=39|issue=3|year=1935|pages=405–431|url=http://gdz.sub.uni-goettingen.de/dms/resolveppn/?PPN=GDZPPN002375605|doi=10.1007/bf01201363|s2cid=186239837|url-access=subscription}} * {{cite book | first=Jean-Yves | last=Girard | author-link=Jean-Yves Girard | author2=Paul Taylor | author3=Yves Lafont | title=Proofs and Types | publisher=Cambridge University Press (Cambridge Tracts in Theoretical Computer Science, 7) | year=1990 | orig-year=1989 | isbn=0-521-37181-3 | url=https://archive.org/details/proofstypes0000gira | url-access=registration }} * {{cite book|last1=Hilbert|first1=David| author1-link=David Hilbert | last2=Bernays | first2=Paul |author2-link=Paul Bernays|title=Grundlagen der Mathematik II|orig-year=1939|year=1970|publisher=Springer-Verlag|location=Berlin, New York|isbn=978-3-642-86897-9|edition=Second}} * {{cite book | last=Indrzejczak | first=Andrzej | year=2021 | chapter-url=https://link.springer.com/chapter/10.1007/978-3-030-57145-0_2 | doi=10.1007/978-3-030-57145-0_2 | chapter=Gentzen's Sequent Calculus LK | title=Sequents and Trees {{!}} An Introduction to the Theory and Applications of Propositional Sequent Calculi| series=Studies in Universal Logic |publisher= Springer Nature Switzerland AG|location=Cham, Switzerland | isbn=978-3-030-57144-3 }} * {{cite book|last=Kleene|first=Stephen Cole|author-link=Stephen Cole Kleene|title=Introduction to metamathematics|orig-year=1952|year=2009|publisher=Ishi Press International|isbn=978-0-923891-57-2}} * {{cite book|last=Kleene|first=Stephen Cole|author-link=Stephen Cole Kleene|title=Mathematical logic|orig-year=1967|year=2002|publisher=Dover Publications|location=Mineola, New York|isbn=978-0-486-42533-7}} * {{cite book|last=Lemmon|first=Edward John|author-link=John Lemmon|title=Beginning logic|year=1965|publisher=Thomas Nelson|isbn=0-17-712040-1}} * {{cite web | last1 = Kreitz | first1 = Christoph | last2 = Constable | first2 = Robert | date = 2009-02-17 | title = Applied Logic, Univ. of Cornell: Lecture 9 | url = http://www.cs.cornell.edu/courses/cs4860/2009sp/lec-09.pdf | publisher = Cornell University | access-date = 2025-06-01}} * {{cite book|last1=Mancosu|first1=Paolo|author1-link=|last2=Galvan|first2=Sergio|author2-link=|last3=Zach|first3=Richard|author3-link=Richard Zach|title=An Introduction to Proof Theory {{mdash}} Normalization, Cut-Elimination, and Consistency Proofs|pages=431|year=2021|publisher=[[Oxford University Press]]|isbn=978-0-19-289593-6}} *{{cite web |url=http://pvs.csl.sri.com/doc/pvs-prover-guide.pdf |title=PVS Prover Guide |last1=Shankar |first1=Natarajan |author-link=Natarajan Shankar |last2=Owre |first2=Sam |last3=Rushby |first3=John M. |author-link3=John Rushby |last4=Stringer-Calvert |first4=David W. J. |work=User guide |publisher=[[SRI International]] |date=2020|access-date=2025-06-01 }} * {{cite book|last=Smullyan|first=Raymond Merrill|author-link=Raymond Smullyan|year=1995|orig-year=1968|title=First-order logic|publisher=Dover Publications|location=New York|isbn=978-0-486-68370-6}} * {{cite book|last=Suppes|first=Patrick Colonel|author-link=Patrick Suppes|year=1999|orig-year=1957|title=Introduction to logic|publisher=Dover Publications|location=Mineola, New York|isbn=978-0-486-40687-9}} * {{cite book | last = Tait | first = William W. | title = Gentzen's Centenary: The Quest for Consistency | chapter = Gentzen's original consistency proof and the Bar Theorem | chapter-url = https://doi.org/10.1007/978-3-319-10103-3_8 | editor1-last = Kahle | editor1-first = Reinhard | editor2-last = Rathjen | editor2-first = Michael | pages = 213–228 | location = New York | publisher = Springer | year = 2010 | doi = 10.1007/978-3-319-10103-3_8 | isbn = 978-3-319-10102-6}} *{{cite conference | last = Tiomkin | first = M. | title = Proving unprovability | book-title = Proceedings of the Third Annual Symposium on Logic in Computer Science, July 5–8, 1988 | year = 1988 | pages = 22–26 | publisher = Computer Society Press | isbn = 0-8186-0853-6 }} * {{cite book | last = von Plato | first = Jan |author-link = :de:Jan von Plato|title = Elements of Logical Reasoning | publisher = [[Cambridge University Press]] | year = 2014 | isbn = 9781139567862|doi=10.1017/CBO9781139567862}}
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