Titlebook: Labelled Non-Classical Logics; Luca Viganò Book 2000 Springer Science+Business Media Dordrecht 2000 calculus.complexity.modal logic.proof.

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Luca Viganòer complete flexibility but are inefficient both in terms of performance and energy. In contrast, ASICs are highly energy-efficient, provide the best performance at the cost of zero flexibility. Application-specific processors or custom processors bridge the gap between these two alternatives by bri

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Labelled Natural Deduction Systems for Propositional Modal Logicsdular way as labelled natural deduction (ND) systems. Our approach is based on a separation between a base ND system and a labelling algebra, which interact through a fixed interface. While the base system stays fixed, ND systems for different modal logics are generated by ‘plugging in’ appropriate

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Labelled Natural Deduction Systems for Propositional Non-Classical Logicseded to build ND systems for large families of propositional non-classical logics, including . (and, more generally, . [75, 76, 196]), where we can treat non-classical negation as a modal operator and also consider explicitly positive fragments. (The metatheory of positive logics is different from t

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Labelled Natural Deduction Systems for Quantified Modal Logicsnd modular presentations of propositional non-classical logics. Here we consider quantified modal logics [89, 104, 141] as a significant case study of the additional complexity introduced by quantifiers with respect to the range of possible logics and semantics for them. (Other quantified non-classi

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Encoding Labelled Non-Classical Logics in Isabelleeduction presentation of minimal implicational predicate logic with universal quantification over all higher-types [179].. We call this metalogic ., and to prevent object/meta confusion we use Λ to represent .’s universal quantifier and ⇒ for implication.

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Introduction and Preliminaries, in §2 and §6, we showed that for a large family of propositional modal logics, essentially those with accessibility relations axiomatizable using Horn-clauses, e.g. K, T, K4, S4, etc., we can decompose our labelled deduction (ND or sequent) systems into two separated parts: a base system, fixed fo