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Beitr�ge zur Algebra der Logik, insbesondere zum Entscheidungsproblem

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Decision procedures for elementary sublanguages of set theory. I. Multi‐level syllogistic and some extensions
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Decision procedures for elementary sublanguages of set theory. II. Formulas involving restricted quantifiers, together with ordinal, integer, map, and domain notions
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A note on the decidability of mls extended with the powerset operator
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Weak Second‐Order Arithmetic and Finite Automata
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Decision procedures for some fragments of set theory
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Towards practical implementations of syllogistic
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Encompassment properties and automata with constraints
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A Survey of Inference Mechanisms
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Weak Second-Order Arithmetic and Finite Automata
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How to Win First-Order Safety Games
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Facets of the PIE Environment for Proving, Interpolating and Eliminating on the Basis of First-Order Logic
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Symbol Elimination and Applications to Parametric Entailment Problems
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The Completeness Theorem? So What!
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Onset and Today’s Perspectives of Multilevel Syllogistic
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A Sound and Complete Validity Test for Formulas in Extensional Multi-level Syllogistic
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La Logique Mathématique en sa jeunesse
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Second-Order Quantifier Elimination on Relational Monadic Formulas – A Basic Method and Some Less Expected Applications
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Theory-Specific Automated Reasoning
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Turing-Maschinen
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Der axiomatische Aufbau der Mengenlehre. Die axiomatische Methode
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Der engere Prädikatenkalkül
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The Confluence of Ideas in 1936
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Dubislav and Classical Monadic Quantificational Logic
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Elementary Predicate Logic
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Alternatives to Standard First-Order Semantics
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The Problem of Complete Decidability of Arithmetical Questions
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Elementary Predicate Logic
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Algorithms and Decision Problems: A Crash Course in Recursion Theory
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Alternatives to Standard First-Order Semantics
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Diagrammatic Logic
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The Decidability of Syllogism
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SET-VAR
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Untersuchungen zum Entscheidungsproblem der mathematischen Logik
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Untersuchungen �ber den Funktionenkalk�l f�r endliche Individuenbereiche
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Zum Entscheidungsproblem der mathematischen Logik
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Zum Eliminationsproblem der mathematischen Logik
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Semantische Untersuchungen zur Entscheidbarkeit im Prädikatenkalkül mit Funktionsvariablen
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Анализ и оБоБщение метода лроверки логических формул диаграммами веннч
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Is first order contained in an initial segment of PTIME?
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Model theory of monadic predicate logic with the infinity quantifier
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Did Turing Stand on Gödel’s Shoulders?
inferred← citeshttps://doi.org/10.1007/s00407-025-00350-yopenalex-snapshot
Hilbert’s problems, Kant, and decidability
inferred← citeshttps://doi.org/10.1007/s10699-023-09933-wopenalex-snapshot
Does Logic Have a History at All?
inferred← citeshttps://doi.org/10.1007/s10958-009-9400-8openalex-snapshot
Logical equations in monadic logic
inferred← citeshttps://doi.org/10.1007/s10992-025-09806-6openalex-snapshot
When Rules Define Logical Operators: Rules as Second-Order Definitions
inferred← citeshttps://doi.org/10.1007/s11225-018-9815-7openalex-snapshot
Undecidability of First-Order Modal and Intuitionistic Logics with Two Variables and One Monadic Predicate Letter
inferred← citeshttps://doi.org/10.1007/s11229-008-9352-4openalex-snapshot
Elimination problems in logic: a brief history
inferred← citeshttps://doi.org/10.1007/s11229-025-05401-zopenalex-snapshot
Hilbert and Schröder’s mathematical logic
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Decision procedures for elementary sublanguages of set theory. III. Restricted classes of formulas involving the power set operator and the general set union operator
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ON COMPUTABILITY
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References
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Heterogeneous Reasoning with Euler/Venn Diagrams Containing Named Constants and FOL
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The Ackermann approach for modal logic, correspondence theory and second-order reduction
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References
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Bibliography
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Bibliography
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Jacques Herbrand: Life, Logic, and Automated Deduction
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Gödel's Logic
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HEINRICH BEHMANN’S 1921 LECTURE ON THE DECISION PROBLEM AND THE ALGEBRA OF LOGIC
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The Cambridge History of Philosophy 1870–1945
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Frontmatter
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Introduction
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Positivist thought in the nineteenth century
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Neo-Kantianism: the German idealism movement
inferred← citeshttps://doi.org/10.1017/chol9780521591041.005openalex-snapshot
Idealism in Britain and the United States
inferred← citeshttps://doi.org/10.1017/chol9780521591041.006openalex-snapshot
Idealism in Russia
inferred← citeshttps://doi.org/10.1017/chol9780521591041.007openalex-snapshot
Bergson
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Pragmatism
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Psychology: old and new
inferred← citeshttps://doi.org/10.1017/chol9780521591041.010openalex-snapshot
The unconscious mind
inferred← citeshttps://doi.org/10.1017/chol9780521591041.011openalex-snapshot
Logic: revival and reform
inferred← citeshttps://doi.org/10.1017/chol9780521591041.012openalex-snapshot
Foundations of mathematics
inferred← citeshttps://doi.org/10.1017/chol9780521591041.013openalex-snapshot
Theories of judgement
inferred← citeshttps://doi.org/10.1017/chol9780521591041.014openalex-snapshot
The logical analysis of language
inferred← citeshttps://doi.org/10.1017/chol9780521591041.015openalex-snapshot
The atomism debate
inferred← citeshttps://doi.org/10.1017/chol9780521591041.016openalex-snapshot
Theories of space-time in modern physics
inferred← citeshttps://doi.org/10.1017/chol9780521591041.017openalex-snapshot
The debate over theGeisteswissenschaftenin German philosophy
inferred← citeshttps://doi.org/10.1017/chol9780521591041.018openalex-snapshot
From political economy to positive economics
inferred← citeshttps://doi.org/10.1017/chol9780521591041.019openalex-snapshot
Sociology and the idea of social science
inferred← citeshttps://doi.org/10.1017/chol9780521591041.020openalex-snapshot
Utilitarians and idealists
inferred← citeshttps://doi.org/10.1017/chol9780521591041.021openalex-snapshot
Nietzsche
inferred← citeshttps://doi.org/10.1017/chol9780521591041.022openalex-snapshot
The new realism in ethics
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Individualism vs. collectivism
inferred← citeshttps://doi.org/10.1017/chol9780521591041.024openalex-snapshot
Marxism and anarchism
inferred← citeshttps://doi.org/10.1017/chol9780521591041.025openalex-snapshot
Legal theory
inferred← citeshttps://doi.org/10.1017/chol9780521591041.026openalex-snapshot
Sceptical challenges to faith
inferred← citeshttps://doi.org/10.1017/chol9780521591041.027openalex-snapshot
The defence of faith
inferred← citeshttps://doi.org/10.1017/chol9780521591041.028openalex-snapshot
Art and morality: aesthetics at 1870
inferred← citeshttps://doi.org/10.1017/chol9780521591041.029openalex-snapshot
Form and feeling: aesthetics at the turn of the century
inferred← citeshttps://doi.org/10.1017/chol9780521591041.030openalex-snapshot
Philosophy and the first world war
inferred← citeshttps://doi.org/10.1017/chol9780521591041.031openalex-snapshot
Logical atomism
inferred← citeshttps://doi.org/10.1017/chol9780521591041.032openalex-snapshot
The scientific world conception: logical positivism
inferred← citeshttps://doi.org/10.1017/chol9780521591041.033openalex-snapshot
The achievements of the Polish school of logic
inferred← citeshttps://doi.org/10.1017/chol9780521591041.034openalex-snapshot
Logic and philosophical analysis
inferred← citeshttps://doi.org/10.1017/chol9780521591041.035openalex-snapshot
The continuing idealist tradition
inferred← citeshttps://doi.org/10.1017/chol9780521591041.036openalex-snapshot
Transformations in speculative philosophy
inferred← citeshttps://doi.org/10.1017/chol9780521591041.037openalex-snapshot
Realism, naturalism, and pragmatism
inferred← citeshttps://doi.org/10.1017/chol9780521591041.038openalex-snapshot
French Catholic philosophy
inferred← citeshttps://doi.org/10.1017/chol9780521591041.039openalex-snapshot
Spanish philosophy
inferred← citeshttps://doi.org/10.1017/chol9780521591041.040openalex-snapshot
The phenomenological movement
inferred← citeshttps://doi.org/10.1017/chol9780521591041.041openalex-snapshot
Heidegger
inferred← citeshttps://doi.org/10.1017/chol9780521591041.042openalex-snapshot
Latin american philosophy
inferred← citeshttps://doi.org/10.1017/chol9780521591041.043openalex-snapshot
Japanese philosophy
inferred← citeshttps://doi.org/10.1017/chol9780521591041.044openalex-snapshot
Sensible appearances
inferred← citeshttps://doi.org/10.1017/chol9780521591041.045openalex-snapshot
The renaissance of epistemology
inferred← citeshttps://doi.org/10.1017/chol9780521591041.046openalex-snapshot
The solipsism debates
inferred← citeshttps://doi.org/10.1017/chol9780521591041.047openalex-snapshot
Language
inferred← citeshttps://doi.org/10.1017/chol9780521591041.048openalex-snapshot
The end of philosophy as metaphysics
inferred← citeshttps://doi.org/10.1017/chol9780521591041.049openalex-snapshot
First-order logic and its rivals
inferred← citeshttps://doi.org/10.1017/chol9780521591041.050openalex-snapshot
The golden age of mathematical logic
inferred← citeshttps://doi.org/10.1017/chol9780521591041.051openalex-snapshot
General relativity
inferred← citeshttps://doi.org/10.1017/chol9780521591041.052openalex-snapshot
Scientific explanation
inferred← citeshttps://doi.org/10.1017/chol9780521591041.053openalex-snapshot
The rise of probabilistic thinking
inferred← citeshttps://doi.org/10.1017/chol9780521591041.054openalex-snapshot
Vitalism and emergence
inferred← citeshttps://doi.org/10.1017/chol9780521591041.055openalex-snapshot
Behaviourism and psychology
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Gestalt psychology
inferred← citeshttps://doi.org/10.1017/chol9780521591041.057openalex-snapshot
Wittgenstein’s conception of mind
inferred← citeshttps://doi.org/10.1017/chol9780521591041.058openalex-snapshot
The methodology of the social sciences
inferred← citeshttps://doi.org/10.1017/chol9780521591041.059openalex-snapshot
The rise of social anthropology
inferred← citeshttps://doi.org/10.1017/chol9780521591041.060openalex-snapshot
Western marxism and ideology critique
inferred← citeshttps://doi.org/10.1017/chol9780521591041.061openalex-snapshot
From intuitionism to emotivism
inferred← citeshttps://doi.org/10.1017/chol9780521591041.062openalex-snapshot
Philosophy of religion
inferred← citeshttps://doi.org/10.1017/chol9780521591041.063openalex-snapshot
Literature as philosophy
inferred← citeshttps://doi.org/10.1017/chol9780521591041.064openalex-snapshot
Aesthetics between the wars: art and liberation
inferred← citeshttps://doi.org/10.1017/chol9780521591041.065openalex-snapshot
Hans Kelsen and normative legal positivism
inferred← citeshttps://doi.org/10.1017/chol9780521591041.066openalex-snapshot
The liberal democratic state: defences and developments
inferred← citeshttps://doi.org/10.1017/chol9780521591041.067openalex-snapshot
The liberal democratic state: critics
inferred← citeshttps://doi.org/10.1017/chol9780521591041.068openalex-snapshot
Biobibliographical appendix
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Bibliography
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Linear time computable problems and first-order descriptions
inferred← citeshttps://doi.org/10.1017/s1755020321000587openalex-snapshot
THE GENEALOGY OF ‘’
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The Russellian Influence on Hilbert and his School
inferred← citeshttps://doi.org/10.1023/a:1026282901818openalex-snapshot
On the Meaning of Hilbert's Consistency Problem (Paris, 1900)
inferred← citeshttps://doi.org/10.1080/01445340.2013.816555openalex-snapshot
Completeness: from Gödel to Henkin
inferred← citeshttps://doi.org/10.1090/s0002-9947-1964-0163837-5openalex-snapshot
Singulary cylindric and polyadic equality algebras
inferred← citeshttps://doi.org/10.1093/jigpal/jzab018openalex-snapshot
Undecidability of the Logic of Partial Quasiary Predicates
inferred← citeshttps://doi.org/10.1093/jigpal/jzx003openalex-snapshot
Minimizing disjunctive normal forms of pure first-order logic
inferred← citeshttps://doi.org/10.1093/logcom/exaa041openalex-snapshot
Algorithmic properties of first-order modal logics of finite Kripke frames in restricted languages
inferred← citeshttps://doi.org/10.1093/logcom/exaa091openalex-snapshot
Algorithmic properties of first-order superintuitionistic logics of finite Kripke frames in restricted languages
inferred← citeshttps://doi.org/10.1093/logcom/exab030openalex-snapshot
Algorithmic properties of first-order modal logics of linear Kripke frames in restricted languages
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Textual notes
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References
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Three Letters on the Foundations of Mathematics by Frank Plumpton Ramsey†
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Is There a Problem about Deviant Encodings?
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The Substitutional Analysis of Logical Consequence
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Convex and Reverse Convex Prequadratics Constraints for Decidable Logics of Relations with Cardinalities
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Formal Notes on the Substitutional Analysis of Logical Consequence
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„Existenz ist eine selektive Blindheit“: Gegenstandsphilosophische Motive der Mathematik George Spencer-Browns
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Predicative Fragments of Frege Arithmetic
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A Natural Axiomatization of Computability and Proof of Church's Thesis
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Some theorems on definability and decidability
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Logic in the twenties: the nature of the quantifier
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Undecidability of modal and intermediate first-order logics with two individual variables
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Decidable fragments of first-order modal logics
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Two theories with axioms built by means of pleonasms
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Address at the Princeton University Bicentennial Conference on Problems of Mathematics (December 17–19, 1946), By Alfred Tarski
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Between Russell and Hilbert: Behmann on the Foundations of Mathematics
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Completeness Before Post: Bernays, Hilbert, and the Development of Propositional Logic
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The Geometry of Negation
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Proceedings 12th International Workshop on Theorem proving components for Educational software
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Using Large Language Models for (De-)Formalization and Natural Argumentation Exercises for Beginner's Students
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