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Refutation systems in modal logic

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Outgoing claims: the papers this work cites, builds on, or argues with.

inferredcites →https://doi.org/10.1007/bf00370180openalex-snapshot
On decision procedures for sentential logics
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The method of axiomatic rejection for the intuitionistic propositional logic
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Eine Unableitbarkeitsbeweismethode für den Intuitionistischen Aussagenkalkül
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On proofs of rejection
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Theory of rejected propositions. I
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Proof of Ł-decidability of Lewis system S5
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On the intuitionistic theory of deduction
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Jan Łukasiewicz. Aristotle's syllogistic from the standpoint of modern formal logic. Clarendon Press, Oxford1951; Oxford University Press, London and New York; xi + 141 pp.
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Johan van Benthem. Modal logic and classical logic. Indices, no. 3. Bibliopolis, Naples 1985 (©1983), also distributed by Humanities Press, Atlantic Highlands, N.J., 234 pp.
inferredcites →https://doi.org/10.2307/2963556openalex-snapshot
Dana Scott. Completeness proofs for the intuitionistic sentential calculus. Summaries of talks presented at the Summer Institute for Symbolic Logic, Cornell University, 1957, 2nd edn., Communications Research Division, Institute for Defense Analyses, Princeton, N.J., 1960, pp. 231–241.
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Reports on Mathematical Logic

What points at this work

Incoming claims: where this work appears in other papers’ reference lists and arguments.

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Accepting/rejecting propositions from accepted/rejected propositions: A unifying overview
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On Proof Complexity of Circumscription
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Assessing Arguments with Schemes and Fallacies
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Metainferential Sequent Calculi
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On Axiomatic Rejection for the Description Logic $$\mathcal {ALC}$$
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Rules in Dialogue
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Rejection in Łukasiewicz’s and Słupecki’s Sense
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Gentzen-Type Refutation Systems for Three-Valued Logics with an Application to Disproving Strong Equivalence
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On the Duality of Proofs and Countermodels in Labelled Sequent Calculi
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Preliminaries
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Refutation Systems in Propositional Logic
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Refutation Systems: An Overview and Some Applications to Philosophical Logics
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A ?ukasiewicz-style refutation system for the modal logic S4
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Admissibility and refutation: some characterisations of intermediate logics
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Falsification-Aware Calculi and Semantics for Normal Modal Logics Including S4 and S5
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Rules of Explosion and Excluded Middle: Constructing a Unified Single-Succedent Gentzen-Style Framework for Classical, Paradefinite, Paraconsistent, and Paracomplete Logics
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Validities, antivalidities and contingencies: A multi-standard approach
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Abduction as Deductive Saturation: a Proof-Theoretic Inquiry
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A Hypersequent Calculus for Classical Contingencies
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Sequent-Calculi for Metainferential Logics
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Refutation-Aware Gentzen-Style Calculi for Propositional Until-Free Linear-Time Temporal Logic
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Paraconsistency in classical logic
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A Refutation Theory
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Proofs and Countermodels in Non-Classical Logics
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Complementary Proof Nets for Classical Logic
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B-frame duality
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FRACTIONAL SEMANTICS FOR CLASSICAL LOGIC
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Refutations, Proofs, and Models in the Modal Logic K4
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The Pioneering Proving Methods as Applied in the Warsaw School of Logic – Their Historical and Contemporary Significance
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Sequent-type rejection systems for finite-valued non-deterministic logics
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A forward internal calculus for model generation inS4
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Combining Derivations and Refutations for Cut-free Completeness in Bi-intuitionistic Logic
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Terminating sequent calculi for proving and refuting formulas in S4
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Hypersequent Calculi for Propositional Default Logics
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Proof-complexity results for nonmonotonic reasoning
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Modal Hybrid Logic
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A meta-logic of inference rules: Syntax
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A Generalisation of a Refutation-related Method in Paraconsistent Logics
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Which Modal Logic Is the Right One?
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Syntactic Refutations against Finite Models in Modal Logic
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Znaczenie pojęcia odrzucania we współczesnej logice
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Proof theory and proof search of bi-intuitionistic and tense logic
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Hybrid Deduction-Refutation Systems for FDE-Based Logics
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Sequent-Type Calculi for Three-Valued and Disjunctive Default Logic
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A modal approach to logical consistency
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Ł-Axiomatizability in intermediate and normal modal logics
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Sequent-Type Proof Systems for Three-Valued Default Logic
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