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===General references=== * {{Cite book |last1=Allen |first1=Colin |last2=Hand |first2=Michael |title=Logic Primer |date=2022 |publisher=The MIT Press |isbn=978-0-262-54364-4 |edition=3rd |location=Cambridge, Massachusetts }} * {{Cite book |last=Arthur |first=Richard T. W. |title=An Introduction to Logic: Using Natural Deduction, Real Arguments, a Little History, and Some Humour |date=2017 |publisher=Broadview Press |isbn=978-1-55481-332-2 |edition=2nd |location=Peterborough, Ontario |oclc=962129086 |url=https://www.worldcat.org/title/962129086 }} * {{Cite book |last1=Ayala-Rincón |first1=Mauricio |last2=de Moura |first2=Flávio L. C. |title=Applied Logic for Computer Scientists |date=2017 |publisher=Springer |series=Undergraduate Topics in Computer Science |isbn=978-3-319-51651-6 |doi=10.1007/978-3-319-51653-0 |url=https://link.springer.com/book/10.1007/978-3-319-51653-0 }} * {{cite book|last1=Barker-Plummer|first1=Dave|last2=Barwise|first2=Jon|author2-link=Jon Barwise|last3=Etchemendy|first3=John|author3-link=John Etchemendy|year=2011|title=Language Proof and Logic|publisher=CSLI Publications|edition=2nd|isbn=978-1575866321}} * {{Cite book |last=Bostock |first=David |title=Intermediate Logic |date=1997 |publisher=Clarendon Press ; Oxford University Press |isbn=978-0-19-875141-0 |location=Oxford ; New York }} * {{cite web|last1=Gallier|first1=Jean|author-link= Jean Gallier |title=Constructive Logics. Part I: A Tutorial on Proof Systems and Typed λ-Calculi|url=ftp://ftp.cis.upenn.edu/pub/papers/gallier/conslog1.ps|access-date=12 June 2014|year=2005}} * {{Cite journal|last=Gentzen|first=Gerhard Karl Erich|author-link=Gerhard Gentzen|year=1935a|title=Untersuchungen über das logische Schließen. I|journal=[[Mathematische Zeitschrift]]|volume=39 | issue = 2 |pages=176–210|doi=10.1007/bf01201353 |s2cid=121546341|url=http://gdz.sub.uni-goettingen.de/dms/resolveppn/?PPN=GDZPPN002375508|archive-url=https://web.archive.org/web/20151224194624/http://gdz.sub.uni-goettingen.de/dms/load/img/?IDDOC=17178|archive-date=2015-12-24|url-status=live}} :{{cite journal|author-mask=1|last=Gentzen|first=Gerhard Karl Erich|author-link=Gerhard Gentzen|year=1964|orig-year=1935| title=Investigations into logical deduction | journal=[[American Philosophical Quarterly]] | volume=1 | number=4 | pages=249–287}} * {{Cite journal|last=Gentzen|first=Gerhard Karl Erich|author-link=Gerhard Gentzen|year=1935b|title=Untersuchungen über das logische Schließen. II|journal=[[Mathematische Zeitschrift]]|volume=39 | issue = 3 |pages=405–431|doi=10.1007/bf01201363 |s2cid=186239837|url=http://gdz.sub.uni-goettingen.de/dms/resolveppn/?PPN=GDZPPN002375605|archive-url=https://archive.today/20120709063902/http://gdz.sub.uni-goettingen.de/dms/load/img/?IDDOC=17188|archive-date=2012-07-09|url-status=live}} :{{cite journal|author-mask=1|last=Gentzen|first=Gerhard Karl Erich|author-link=Gerhard Gentzen| year=1965|orig-year=1935| title=Investigations into logical deduction | journal=[[American Philosophical Quarterly]] | volume=2 | number=3 | pages=204–218}} * {{cite book | last1 = Girard | first1 = Jean-Yves | author1-link = Jean-Yves Girard | url = http://www.cs.man.ac.uk/~pt/stable/Proofs+Types.html | publisher = Cambridge University Press, Cambridge, England | series = Cambridge Tracts in Theoretical Computer Science | title = Proofs and Types | year = 1990 | access-date = 2006-04-20 | archive-url = https://web.archive.org/web/20160704202340/http://www.cs.man.ac.uk/~pt/stable/Proofs+Types.html | archive-date = 2016-07-04 | url-status = dead }} Translated and with appendices by Paul Taylor and Yves Lafont. * {{Cite book |last1=Hansson |first1=Sven Ove |last2=Hendricks |first2=Vincent F. |title=Introduction to Formal Philosophy |date=2018 |publisher=Springer |isbn=978-3-030-08454-7 |series=Springer Undergraduate Texts in Philosophy |location=Cham }} * {{cite book|last1=Jaśkowski|first1=Stanisław|author1-link=Stanisław Jaśkowski|title=On the rules of suppositions in formal logic|year=1934}} Reprinted in ''Polish logic 1920–39'', ed. Storrs McCall. * {{cite book|last1=Kleene|first1=Stephen Cole|author1-link=Stephen Cole Kleene|title=Introduction to metamathematics|orig-year=1952|year=1980|publisher=North-Holland|edition=Eleventh|isbn=978-0-7204-2103-3}} * {{cite book|last1=Kleene|first1=Stephen Cole|author1-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|last1=Kleene|first1=Stephen Cole|author1-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 |url= https://archive.org/details/beginninglogic00lemm |year=1978 |orig-year=1965 |edition= Fifth printing, 1985 |publisher=[[Hackett Publishing Company]] |isbn=0915144-50-6 |location=Boca Raton, FL }} * {{cite book | last1 = Magnus | first1 = P.D. | last2 = Button | first2 = Tim | last3 = Trueman | first3 = Robert | last4 = Zach | first4 = Richard | title = forall x: An Introduction to Formal Logic | edition = Fall 2023 | publisher = Open Logic Project | year = 2023 | url = https://forallx.openlogicproject.org/ | access-date = 2025-05-04 }} * {{cite journal | last=Martin-Löf | first=Per | author-link=Per Martin-Löf | url = http://docenti.lett.unisi.it/files/4/1/1/6/martinlof4.pdf | title = On the meanings of the logical constants and the justifications of the logical laws | journal=[[Nordic Journal of Philosophical Logic]] | volume=1 | issue=1 | year=1996 | pages=11–60 }} Lecture notes to a short course at Università degli Studi di Siena, April 1983. * {{Cite web |last1=Paseau |first1=A. C. |last2=Leek |first2=Robert |title=The Compactness Theorem |publisher= Internet Encyclopedia of Philosophy |url=https://iep.utm.edu/compactness/ |access-date=2024-03-22 |language=en-US }} * {{Citation |last1=Paseau |first1=Alexander |last2=Pregel |first2=Fabian |title=Deductivism in the Philosophy of Mathematics |date=2023 |encyclopedia=The Stanford Encyclopedia of Philosophy |editor-last=Zalta |editor-first=Edward N. |editor2-last=Nodelman |editor2-first=Uri |url=https://plato.stanford.edu/archives/fall2023/entries/deductivism-mathematics/ |access-date=2024-03-22 |edition=Fall 2023 |publisher=Metaphysics Research Lab, Stanford University }} * {{Citation |last1=Pelletier |first1=Francis Jeffry |last2=Hazen |first2=Allen |title=Natural Deduction Systems in Logic |date=2024 |encyclopedia=The Stanford Encyclopedia of Philosophy |editor-last=Zalta |editor-first=Edward N. |editor2-last=Nodelman |editor2-first=Uri |url=https://plato.stanford.edu/archives/spr2024/entries/natural-deduction/ |access-date=2024-03-22 |edition=Spring 2024 |publisher=Metaphysics Research Lab, Stanford University }} * {{cite journal | last1 = Pfenning | first1 = Frank | last2 = Davies | first2 = Rowan | url = https://www-2.cs.cmu.edu/~fp/papers/mscs00.pdf | title = A judgmental reconstruction of modal logic | journal = Mathematical Structures in Computer Science | volume = 11 | issue = 4 | year = 2001 | pages = 511–540 | doi = 10.1017/S0960129501003322 | doi-broken-date=2025-02-25 <!-- This line generates a template warning --> | citeseerx = 10.1.1.43.1611 | s2cid = 16467268 }} * {{Prawitz Natural Deduction|year=1965}} * {{Prawitz Natural Deduction|year=2006|include-link=no}} * {{cite book|last1=Quine|first1=Willard Van Orman|author1-link=Willard Van Orman Quine|title=Mathematical logic|edition=Revised|publisher=Harvard University Press|location=Cambridge, Massachusetts|year=1981|orig-year=1940|isbn=978-0-674-55451-1}} * {{cite book|last1=Quine|first1=Willard Van Orman|author1-link=Willard Van Orman Quine|title=Methods of logic|edition=Fourth|publisher=Harvard University Press|location=Cambridge, Massachusetts|year=1982|orig-year=1950|isbn=978-0-674-57176-1}} * {{Citation | last = Restall | first = Greg | title = Substructural Logics | date = 2018 | encyclopedia = The Stanford Encyclopedia of Philosophy | editor-last = Zalta | editor-first = Edward N. | url = https://plato.stanford.edu/archives/spr2018/entries/logic-substructural/ | access-date = 2024-03-22 | edition = Spring 2018 | publisher = Metaphysics Research Lab, Stanford University }} *{{cite thesis|last=Simpson|first=Alex K.|year=1994|title=The Proof Theory and Semantics of Intuitionistic Modal Logic|url=https://era.ed.ac.uk/bitstream/handle/1842/407/ECS-LFCS-94-308.PDF?sequence=2&isAllowed=y|hdl=1842/407|publisher=[[University of Edinburgh|Edinburgh Research Archive (ERA)]]}} * {{cite book|last1=Stoll|first1=Robert Roth|title=Set Theory and Logic|location=Mineola, New York|publisher=Dover Publications|year=1979|orig-year=1963|isbn=978-0-486-63829-4}} * {{cite book|last1=Stouppa|first1=Phiniki|title=The Design of Modal Proof Theories: The Case of S5|year=2004|publisher=University of Dresden|citeseerx=10.1.1.140.1858}} MSc thesis. * {{cite book|last1=Suppes|first1=Patrick Colonel|author1-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 web |last=Sutcliffe|first=Geoff|title=Propositional Logic |url=https://www.cs.miami.edu/home/geoff/Courses/CSC648-12S/Content/Propositional.shtml |access-date=2025-05-04|publisher=University of Miami|website=www.cs.miami.edu}} * {{cite book|last=Van Dalen|first=Dirk|author-link=Dirk van Dalen|year=2013|orig-year=1980|title=Logic and Structure|series=Universitext |edition=5|publisher=[[Springer Science+Business Media|Springer]]|location=London, Heidelberg, New York, Dordrecht|isbn=978-1-4471-4558-5|doi=10.1007/978-1-4471-4558-5}} * {{Cite book |last=von Plato |first=Jan |title=Elements of Logical Reasoning |date=2013 |publisher=[[Cambridge University Press]] |isbn=978-1-107-03659-8 |edition=1. publ |location=Cambridge }} * {{Cite web |last=Weisstein |first=Eric W. |title=Connective |url=https://mathworld.wolfram.com/ |access-date=2024-03-22 |website=mathworld.wolfram.com |language=en }}
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