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Automated Natural Deduction in Thinker
Studia Logica, 1998zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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2013
This paper defines the contextual natural deduction calculus \(\textbf{ND}^\textbf{c}\) for the implicational fragment of intuitionistic logic. \(\textbf{ND}^\textbf{c}\) extends the usual natural deduction calculus (here called \(\textbf{ND}\)) by allowing the implication introduction and elimination rules to operate on formulas that occur inside ...
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This paper defines the contextual natural deduction calculus \(\textbf{ND}^\textbf{c}\) for the implicational fragment of intuitionistic logic. \(\textbf{ND}^\textbf{c}\) extends the usual natural deduction calculus (here called \(\textbf{ND}\)) by allowing the implication introduction and elimination rules to operate on formulas that occur inside ...
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From 2-Sequents and Linear Nested Sequents to Natural Deduction for Normal Modal Logics
ACM Transactions on Computational Logic, 2021Simone Martini +2 more
exaly
2005
Gentzen introduced his sequent calculi LK and LJ, as well as his natural deduction systems NK and NJ, in his celebrated “Investigations into Logical Deduction” (1935). As far as classical logic is concerned both the natural deduction calculus NK and the sequent calculus LK run into serious difficulties from the computational viewpoint.
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Gentzen introduced his sequent calculi LK and LJ, as well as his natural deduction systems NK and NJ, in his celebrated “Investigations into Logical Deduction” (1935). As far as classical logic is concerned both the natural deduction calculus NK and the sequent calculus LK run into serious difficulties from the computational viewpoint.
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