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Completeness and Recognizability
In this chapter we deal with two topics: completeness of intuitionistic first-order logic with respect to the formal ground-theoretic framework...
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On Non-deterministic Functional Completeness
We introduce N-functional completeness as a natural generalization to non-deterministic matrices of the notion of functional completeness in ordinary...
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The Completeness Theorem? So What!
Bolzano reduced inferential validity of the inference (from premise judgements to conclusion judgment) to the holding of logical consequence between...
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Kripke-Completeness and Sequent Calculus for Quasi-Boolean Modal Logic
Quasi-Boolean modal algebras are quasi-Boolean algebras with a modal operator satisfying the interaction axiom. Sequential quasi-Boolean modal logics...
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Tableau Soundness and Completeness
We have seen several soundness and completeness proofs so far. And we have just introduced four more tableau systems in need of such proofs. For each...
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Completeness and Doxastic Plurality for Topological Operators of Knowledge and Belief
The first aim of this paper is to prove a topological completeness theorem for a weak version of Stalnaker’s logic KB of knowledge and belief. The...
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Structural Completeness and Superintuitionistic Inquisitive Logics
In this paper, the notion of structural completeness is explored in the context of a generalized class of superintuitionistic logics involving also...
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Enhancing reporting through structure: a before and after study on the effectiveness of SPIRIT-based templates to improve the completeness of reporting of randomized controlled trial protocols
BackgroundDespite the improvements in the completeness of reporting of randomized trial protocols after the publication of the Standard Protocol...
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Completeness in Information Systems Ontologies
In the domain of information systems ontologies, the notion of completeness refers to ontological contents by demanding that they be exhaustive with...
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Completeness
In this section we consider the interpretation of a first-order language, which consists in fixing a domain and a function that assigns a meaning of...
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Completeness Properties
This chapter presents the foundations of the theory of logical matrices with a special focus on the question of which classes of matrices provide a...
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Algebraic Completeness of Connexive and Bi-Intuitionistic Multilattice Logics
In this paper, we introduce the notions of connexive and bi-intuitionistic multilattices and develop on their base the algebraic semantics for...
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Correctness and Completeness of Programming Instructions for Traffic Circulation
In the present article we exploit the logical notions of correctness and completeness to provide an analysis of some fundamental problems that can be...
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Strong Completeness of S4 for the Real Line
In the topological semantics for modal logic, S4 is well known to be complete for the rational line and for the real line: these are special cases of...
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From Gödel’s Incompleteness Theorem to the Completeness of Bot Beliefs
Hilbert and Ackermann asked for a method to consistently extend incomplete theories to complete theories. Gödel essentially proved that any theory...
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Consistency, Soundness, Completeness
This chapter deals with three key properties of systems: consistency, soundness, and completeness. As we shall see, L has these three properties, and...
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Consistency, Soundness, Completeness
This chapter shows that Q is consistent, sound, and complete. The proof methods that will be employed to establish these results are the same that...
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Completeness for the Classical Antecedent Fragment of Inquisitive First-Order Logic
Inquisitive first order logic
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Unknown Truths and False Beliefs: Completeness and Expressivity Results for the Neighborhood Semantics
In this article, we study logics of unknown truths and false beliefs under neighborhood semantics. We compare the relative expressivity of the two...