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List of logic systems : ウィキペディア英語版
List of logic systems

This article contains a list of sample Hilbert-style deductive systems for propositional logic.
==Classical propositional calculus systems==
Classical propositional calculus is the standard propositional logic. Its intended semantics is bivalent and its main property is that it is syntactically complete, otherwise said that no new axiom not already consequence of the existing axioms can be added without making the logic inconsistent. Many different equivalent complete axiom systems have been formulated. They differ in the choice of basic connectives used, which in all cases have to be functionally complete (i.e. able to express by composition all ''n''-ary truth tables), and in the exact complete choice of axioms over the chosen basis of connectives.

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