hexagon
发表于 2025-3-21 19:00:01
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BILL
发表于 2025-3-21 20:40:52
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PRO
发表于 2025-3-22 01:56:19
Labelled Natural Deduction Systems for Propositional Modal Logicsstems with inheritance of theorems. Moreover, it allows modular proofs of metatheoretical properties, in that these proofs, along with the presentations themselves, are parameterized over the properties of the relations.
音乐等
发表于 2025-3-22 05:46:09
Labelled Natural Deduction Systems for Propositional Non-Classical Logicsnt of a wide range of non-classical operators (□, ◊, relevant and intuitionistic implication, non-classical negation, etc.), where we base our presentations on an abstract classification of non-classical operators as ‘universal’ or ‘existential’, and associated general metatheorems. We proceed as follows.
母猪
发表于 2025-3-22 10:19:03
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phase-2-enzyme
发表于 2025-3-22 15:50:29
Labelled Natural Deduction Systems for Quantified Modal Logicsarbitrarily (varying domains), or do the same objects exist in every world (constant domains), or are objects possibly created (increasing domains) or destroyed (decreasing domains) when moving to accessible worlds?
Ordnance
发表于 2025-3-22 17:52:04
Discussionhierarchical structuring), and have modular metatheoretical properties, in particular soundness and completeness, and normalization of derivations and a subformula property, which we can exploit to delineate advantages and limitations of our approach..
琐碎
发表于 2025-3-23 00:25:55
Complexity of Proof Search in K, T, K4 and S4ned with the soundness and completeness of our systems with respect to the corresponding Kripke semantics, tell us that the provability (validity) problems for the modal logics K, T, K4 and S4 are decidable in PSPACE.
coagulate
发表于 2025-3-23 01:34:07
Discussionbounds by combining restrictions on the structural rules of our labelled sequent systems with an analysis of the accessibility relation of the corresponding Kripke frames. Furthermore, we have shown that as a by-product of our analysis we can obtain justifications (and in some cases refinements) of the rules of standard sequent systems.
jarring
发表于 2025-3-23 08:50:17
Introduction and Preliminariesr all logics in the family, and a labelling algebra, which we extend to generate systems for particular logics. Now we use our framework to develop a proof-theoretical method for bounding the computational complexity of the decision problem for a number of these logics.