Modal languages and bounded fragments of predicate logic
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Publication:1267082
DOI10.1023/A:1004275029985zbMath0919.03013OpenAlexW1991981864MaRDI QIDQ1267082
J. F. A. K. van Benthem, Istvan Németi, Hajnalka Andréka
Publication date: 18 November 1998
Published in: Journal of Philosophical Logic (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1023/a:1004275029985
interpolationmodal logicdecidabilityfinite model propertyguarded fragmentbounded quantificationfragments of first-order logic
Modal logic (including the logic of norms) (03B45) Subsystems of classical logic (including intuitionistic logic) (03B20)
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Cites Work
- Natural deduction and arbitrary objects
- Der Interpolationssatz der intuitionistischen Prädikatenlogik
- Language in action
- Algebraization of quantifier logics, an introductory overview
- On universal algebraic constructions of logics
- Finite \(H\)-dimension does not imply expressive completeness
- Multi-dimensional modal logic
- Model theory
- Logic of transition systems
- On a decidable generalized quantifier logic corresponding to a decidable fragment of first-order logic
- Representations of distributive lattice-ordered semigroups with binary relations
- Amalgamation, congruence-extension, and interpolation properties in algebras
- The metatheory of the classical propositional calculus is not axiomatizable
- Algebraic laws for nondeterminism and concurrency
- Semantics-Based Translation Methods for Modal Logics
- Properties of independently axiomatizable bimodal logics
- A Modal Logic for Chopping Intervals
- Modal reduction principles
- Cylindric-relativised set algebras have strong amalgamation
- Correspondence and Completeness for Generalized Quantifiers
- Cylindric modal logic
- Expressibility of properties of relations
- Nonfinitizability of classes of representable cylindric algebras
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item