One of the seminal goals of Explicit Constructive Logic (ECL) is to provide a constructive formulation of full higher order logic (Classical Type Theory LKω) that can be seen as a foundation for knowledge representation. Moreover, the development of this work has produced the basis of a new approach to constructivism in Logic. ECL is introduced as a sub-system Zω of LKω. Also the first order case Z1 and the propositional case ZP of ECL are examined. A comparison between ECL’s constructivism and the corresponding features of Intuitionistic Logic, and Constructive Paraconsistent Logic is proposed.
Explicit Constructive Logic ECL: a New Representation of Construction and Selection of Logical Information by an Epistemic Agent
GENTILINI , PAOLO;MARTELLI, MAURIZIO;ROSOLINI, GIUSEPPE
2013-01-01
Abstract
One of the seminal goals of Explicit Constructive Logic (ECL) is to provide a constructive formulation of full higher order logic (Classical Type Theory LKω) that can be seen as a foundation for knowledge representation. Moreover, the development of this work has produced the basis of a new approach to constructivism in Logic. ECL is introduced as a sub-system Zω of LKω. Also the first order case Z1 and the propositional case ZP of ECL are examined. A comparison between ECL’s constructivism and the corresponding features of Intuitionistic Logic, and Constructive Paraconsistent Logic is proposed.
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