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Intuitionistic Logic is a Connexive Logic
Studia Logica, 2023 AbstractWe show that intuitionistic logic is deductively equivalent to Connexive Heyting Logic ($$\textrm{CHL}$$ CHL ), hereby introduced as an example of a strongly connexive logic with an intuitive semantics. We use the reverse algebraisation paradigm: $$\textrm{CHL}$$ CHL is ...
davide fazio +2 more
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Co-constructive Logics for Proofs and Refutations
Studia Humana, 2015 This paper considers logics which are formally dual to intuitionistic logic in order to investigate a co-constructive logic for proofs and refutations. This is philosophically motivated by a set of problems regarding the nature of constructive truth, and
Trafford James
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Intersection Logic in sequent calculus style [PDF]
Electronic Proceedings in Theoretical Computer Science, 2011 The intersection type assignment system has been designed directly as deductive system for assigning formulae of the implicative and conjunctive fragment of the intuitionistic logic to terms of lambda-calculus.
Simona Ronchi Della Rocca +3 more
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Negational Fragment of Intuitionistic Control Logic [PDF]
, 2014 We investigate properties of monadic purely negational fragment of Intuitionistic Control Logic (ICL). This logic arises from Intuitionistic Propositional Logic (IPL) by extending language of IPL by additional new constant for falsum.
Glenszczyk, Anna
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Studia Logica, 2011 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Eskolemization in Intuitionistic Logic [PDF]
Journal of Logic and Computation, 2009 In Baaz and Iemhoff (2006, Annals of Pure and Applied Logic, 142, 269–295), an alternative skolemization method called eskolemization was introduced that is sound and complete for existence logic with respect to existential quantifiers. Existence logic is a conservative extension of intuitionistic logic by an existence predicate.
Baaz, Matthias, Iemhoff, R.
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Philosophical Foundations of Intuitionistic Logic [PDF]
Metaphysics, 2013 Intuitionistic logic, as a non-classical logic, encompasses the principles of logical reasoning which were used by L. E. J. Brouwer in developing his intuitionistic mathematics.
L Nabavi, MA Hojati, H Alaeenezhad
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From Intuitionism to Brouwer's Modal Logic
Bulletin of the Section of Logic, 2020 We try to translate the intuitionistic propositional logic INT into Brouwer's modal logic KTB. Our translation is motivated by intuitions behind Brouwer's axiom p →☐◊p The main idea is to interpret intuitionistic implication as modal strict implication ...
Zofia Kostrzycka
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'Unless' is 'Or', Unless '¬A Unless A' is Invalid
Dialectica, 2022 The proper translation of "unless" into intuitionistic formalisms is examined. After a brief examination of intuitionistic writings on "unless", and on translation in general, and a close examination of Dummett's use of "unless" in Elements of ...
Roy Cook
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, 2011 This is an investigation of M. Dummett's claim that a theory of meaning based on verification conditions should lead to the abandonment of classical logic in favor of intuitionistic logic. I especially concentrate on his suggestion that, in order to give
Pietz, Andreas
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