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

Entropion

不適

,Validity in?Contexts,y the new notion of validity, an inference is not just valid or invalid, but valid or invalid under a set of assumptions. Based on the three-valued semantics and ternary notion of validity, we give a unified solution to some typical puzzles concerning indicatives and epistemic modals.

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Protein

NIL

Asseverate

,A Compositional Theory of?Krivine’s Classical Realisability,lies truth” results in . being essentially equivalent to the Tarskian theory . of typed compositional truth, which is known to be proof-theoretically stronger than .. We also prove that a weaker reflection principle which preserves the distinction between realisability and truth is sufficient for . to achieve the same strength as ..

AVID

,(In)consistency Operators on?Quasi-Nelson Algebras,ters and congruences, we characterize the directly indecomposable members of these varieties, showing in particular that two of them are semisimple. Further logical developments and extensions of the present approach are also discussed.

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,Lambek Calculus with?Banged Atoms for?Parasitic Gaps,her extensions of Lambek Calculus with modalities, our logic remains decidable, and the complexity of proof search (i.e., sentence parsing) is the same as for the basic Lambek calculus. Furthermore, we provide not only a sequent calculus, and a cut elimination theorem, but also proof nets.

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