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Sequent calculus

In mathematical logic, sequent calculus is a style of formal logical argumentation in which every line of a proof is a conditional tautology (called a sequent by Gerhard Gentzen) instead of an unconditional tautology. Each conditional tautology is inferred from other conditional tautologies on earlier lines in a formal argument according to rules and…

The system LK, Proving logical formulas & Overview

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Proving logical formulas

The system LK

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Sequent calculus

Nodes80
Edges79
Triples223
Avg. degree1.98
Density0.025
Components1

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Sequent calculus

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related to References · 145
Sequent calculus → ACM, An, An Introduction, Andrzej, Applications, Applied Logic, Bar Theorem, Beginning, Berlin, Bernays, BF01201353, Binder, Buss, Cambridge Tracts, Cambridge University Press, CBO9781139567862, Cham, Christoph, Computer Science, Computer Society Press
related to External links · 26
Sequent calculus → August, Bad Math, Brief Diversion, Edward, EMS Press, Encyclopedia, Good Math, In Zalta, Interactive Tutorial, Logitext, March, Mathematics, Michael, MIT, Nodelman, Philosophy, Proof Theory, Rathjen, Retrieved, Sequent
related to overview · 12
Sequent calculus → Gentzen, Gentzen's, Gerhard Gentzen, Gödel's, Hauptsatz, In, LJ, LK, Main Theorem, Peano, Since, The
related to Distinction between natural deduction and sequent calculus · 8
Sequent calculus → Gentzen, Hauptsatz, He, LJ, LK, NJ, NK, Then
related to Relation to standard axiomatizations · 8
Sequent calculus → Each, Every, Frege's, Hilbert, Jan, Sequent, The, This
related to Properties of the system LK · 5
Sequent calculus → Gamma, Gentzen's Hauptsatz, In, Main Theorem, This
related to Sequent calculus systems · 4
Sequent calculus → Again, As, Finally, The
related to The system LK · 4
Sequent calculus → Gentzen, LK, Logistische Kalkül, This
related to Reduction trees · 3
Sequent calculus → Consider, It, Sequent
is a · 2
Sequent calculus → family of formal systems sharing a certain style of inference and certain formal properties, style of formal logical argumentation in which every line of a proof is a conditional tautology

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rules sequent calculus displaystyle one proof logic deduction natural formula systems right every formulas also isbn system may line lk

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Sequent calculusis astyle of formal logical argumentation in which every line of a proof is a conditional tautology0.90text
Sequent calculusis afamily of formal systems sharing a certain style of inference and certain formal properties0.90text
De Morgan's lawsinstance ofThis means that a symmetry0.80text
which manifests itself as logical negation on the semantic levelinstance ofThis means that a symmetry0.80text
translates directly into a leftinstance ofThis means that a symmetry0.80text
Sequent calculusrelated to Distinction between natural deduction and sequent calculusGentzen0.60section
Sequent calculusrelated to Distinction between natural deduction and sequent calculusNK0.60section
Sequent calculusrelated to Distinction between natural deduction and sequent calculusNJ0.60section
Sequent calculusrelated to Distinction between natural deduction and sequent calculusLK0.60section
Sequent calculusrelated to Distinction between natural deduction and sequent calculusLJ0.60section
Sequent calculusrelated to Distinction between natural deduction and sequent calculusHe0.60section
Sequent calculusrelated to Distinction between natural deduction and sequent calculusThen0.60section

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