Explicit Constructive Logic

Paolo Gentilini,Maurizio Martelli,Giuseppe Rosolini, Domenico Cantone, Marianna Nicolosi Asmundo, Alberto Pettorossi

Fundamenta Informaticae(2015)

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摘要
One of the main goals of Explicit Constructive Logic (ECL) is to provide a constructive formulation of Full (Classical) Higher Order Logic LK ω that can be seen as a foundation for knowledge representation. ECL is introduced as a subsystem Z ω of LK ω . The first order case Z 1 and the propositional case Z 0 of ECL are examined as well. A comparison of constructivism from the point of view of ECL and of the corresponding features of Intuitionistic Logic, and Constructive Paraconsistent Logic is proposed.
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关键词
Constructivism in Logic,Higher Order Logic,Intuitionistic Logic,Constructive Paraconsistent Logic
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