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

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978-3-031-62686-9The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerl
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Strict-Tolerant Conditional Logics, conditional is neither true nor false. The semantic consequence is defined as in Strict-Tolerant logic. The resulting logic validates Conditional Excluded Middle without assuming that a selection function always chooses a single world, reconciling Stalnaker and Lewis. We give a labelled sequent cal
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,A Simple Loopcheck for Intuitionistic K,e been previously established independently by proof theoretic and model theoretic techniques respectively. Our algorithm, by contrast, enables us to establish both properties at the same time and simplifies previous approaches. It implements root-first proof search in a labelled sequent calculus th
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,Intersection Types via Finite-Set Declarations,ories. The .-cube only types Strongly Normalising (SN) terms but not all of them. It is well known that even the most powerful system of the .-cube can only type the same pure untyped .-terms that are typable by the higher-order polymorphic implicitly typed .-calculus ., and that there is an untyped
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