A Syntactic Characterization of the Gabbay-de Jongh Logics
Keyword(s):
Skura syntactically characterised intuitionistic propositional logic among all intermediate logics by means of a Łukasiewicz-style refutation system. Another such syntactic characterisation is given by Iemhoff in terms of admissible rules. Here we offer a bridge between these results. That is to say, we provide sufficient conditions under which admissible rules yield a refutation system fully characterising the logic. In particular, we give a characterisation of the Gabbay–de Jongh logics by means of refutation systems employing ideas from admissibility.
1977 ◽
Vol 31
(2)
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pp. 279-288
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2013 ◽
Vol 6
(4)
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pp. 680-708
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Keyword(s):
2001 ◽
Vol 113
(1-3)
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pp. 161-173
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2017 ◽
Vol 16
(11)
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pp. 1750205