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CORR
2011
Springer
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13 years 6 months ago
Polarized Montagovian Semantics for the Lambek-Grishin calculus
Grishin ([10]) proposed enriching the Lambek calculus with multiplicative disjunction (par) and coresiduals. Applications to linguistics were discussed by Moortgat ([15]), who spok...
Arno Bastenhof
NDJFL
1998
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13 years 11 months ago
Idempotent Full Paraconsistent Negations are not Algebraizable
Using methods of abstract logic and the theory of valuation, we prove that there is no paraconsistent negation obeying the law of double negation and such that ¬(a ∧ ¬a) is a t...
Jean-Yves Béziau
JSYML
2006
124views more  JSYML 2006»
13 years 11 months ago
Glivenko theorems for substructural logics over FL
It is well known that classical propositional logic can be interpreted in intuitionistic propositional logic. In particular Glivenko's theorem states that a formula is provabl...
Nikolaos Galatos, Hiroakira Ono