Titlebook: Computer Science Logic; 23rd International W Erich Grädel,Reinhard Kahle Conference proceedings 2009 Springer-Verlag Berlin Heidelberg 2009

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https://doi.org/10.1007/978-3-031-46065-4and we characterize our nets by a variant of Lamarche’s correctness criterion for essential nets. The correspondence between explicit substitutions and jumps simplifies the already known correspondence between explicit substitutions and proof net exponential cuts.

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https://doi.org/10.1007/978-3-658-08080-8ich could not be dealt with in the previous approach. Our method also works as a heuristic principle for finding appropriate rules for axioms located at levels higher than .. The case study of Abelian and Łukasiewicz logic is outlined.

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https://doi.org/10.1007/978-3-642-11524-0tion is limited to intersections not containing reference types, and the reference type constructor can only be applied to closed types. The type assignment is shown to be safe, and when restricted to pure .-calculus, as expressive as the full standard type assignment system with intersection and universally quantified types.

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Linear Game Automata: Decidable Hierarchy Problems for Stripped-Down Alternating Tree Automatalinear tree automata with alternation restricted to the choice of path in the input tree. Despite their simplicity, LGA recognize sets of arbitrary high Borel rank. The actual richness of LGA is revealed by the height of their Wadge hierarchy: (..)..