Titlebook: Logic, Language, Information, and Computation; 30th International W George Metcalfe,Thomas Studer,Ruy de Queiroz Conference proceedings 202

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,(In)consistency Operators on Quasi-Nelson Algebras, aim is to pave the way for introducing logics of formal inconsistency (LFIs) in a non-necessarily involutive setting. We show how several results that were obtained for LFIs based on distributive involutive residuated lattices can be extended to quasi-Nelson algebras and their logic. We prove that

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,Modal Hyperdoctrine: Higher-Order and Non-normal Extensions,d to higher-order systems. We return to Ghilardi’s hyperdoctrine semantics for first-order modal logic [.] and extend it in two directions—to weaker, non-normal modal logics and to higher-order modal logics. We also relate . modal hyperdoctrines to intuitionistic hyperdoctrines via a hyperdoctrinal

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,Logical Expressibility of Syntactic NL for Complementarity and Maximization,y SNL was first introduced in 2017 as a “syntactically”-defined natural subclass of NL using a restricted form of second-order logic in close connection to the so-called linear space hypothesis. We further explore various properties of this complexity class SNL. In particular, we consider the expres

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,Polyadic Quantifiers on Dependent Types,rting scope, as illustrated by the example .. The . relation, expressed by the preposition . in this example, introduces a dependency between wholes (months) and their respective parts (days). Quantifying over this dependency yields the inverse scope reading: for every month, there is a different da