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Applications of Kripke models
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inferred← citeshttps://doi.org/10.1002/malq.19830291004openalex-snapshot
NEW PROOFS OF SOME INTUITIONISTIC PRINCIPLES
inferred← citeshttps://doi.org/10.1002/malq.19930390154openalex-snapshot
On the structure of kripke models of heyting arithmetic
inferred← citeshttps://doi.org/10.1002/malq.19960420141openalex-snapshot
Exhibiting Wide Families of Maximal Intermediate Propositional Logics with the Disjunction Property
inferred← citeshttps://doi.org/10.1002/malq.19980440202openalex-snapshot
Extracting Algorithms from Intuitionistic Proofs
inferred← citeshttps://doi.org/10.1002/malq.200310024openalex-snapshot
Independence results for weak systems of intuitionistic arithmetic
inferred← citeshttps://doi.org/10.1002/malq.202000077openalex-snapshot
Refining the arithmetical hierarchy of classical principles
inferred← citeshttps://doi.org/10.1006/inco.1998.2704openalex-snapshot
Computable Kripke Models and Intermediate Logics
inferred← citeshttps://doi.org/10.1007/0-387-31072-x_2openalex-snapshot
Problems in the Logic of Provability
inferred← citeshttps://doi.org/10.1007/3-540-10828-9_72openalex-snapshot
Trees in Kripke models and in an intuitionistic refutation system
inferred← citeshttps://doi.org/10.1007/3-540-36078-6_12openalex-snapshot
On the Complexity of Disjunction and Explicit Definability Properties in Some Intermediate Logics
inferred← citeshttps://doi.org/10.1007/3-540-48754-9_11openalex-snapshot
Intuitionisitic Tableau Extracted
inferred← citeshttps://doi.org/10.1007/978-0-8176-4769-8_10openalex-snapshot
The Unintended Interpretations of Intuitionistic Logic
inferred← citeshttps://doi.org/10.1007/978-1-4612-2822-6_13openalex-snapshot
Constructive Kripke Semantics and Realizability
inferred← citeshttps://doi.org/10.1007/978-3-031-47921-2_1openalex-snapshot
Notes on My Scientific Life
inferred← citeshttps://doi.org/10.1007/978-3-032-31348-5_19openalex-snapshot
On the $$\varSigma $$-Hierarchy of the Logical Principles Over Intuitionistic Predicate Logic
inferred← citeshttps://doi.org/10.1007/978-3-642-35722-0_15openalex-snapshot
A Note on Extensions: Admissible Rules via Semantics
inferred← citeshttps://doi.org/10.1007/978-94-009-0681-5_12openalex-snapshot
The Myth of the Intuitionistic “OR”
inferred← citeshttps://doi.org/10.1007/978-94-009-9056-2_12openalex-snapshot
The Interplay Between Logic and Mathematics: Intuitionism
inferred← citeshttps://doi.org/10.1007/978-94-009-9825-4_5openalex-snapshot
Equality in the Presence of Apartness
inferred← citeshttps://doi.org/10.1007/bf00157539openalex-snapshot
A free IPC is a natural logic: Strong completeness for some intuitionistic free logics
inferred← citeshttps://doi.org/10.1007/bf00247186openalex-snapshot
Intuitionism: An introduction to a seminar
inferred← citeshttps://doi.org/10.1007/bf00370841openalex-snapshot
On maximal intermediate predicate constructive logics
inferred← citeshttps://doi.org/10.1007/bf00373273openalex-snapshot
Glueing of analysis models in an intuitionistic setting
inferred← citeshttps://doi.org/10.1007/bf00881949openalex-snapshot
An improved refutation system for intuitionistic predicate logic
inferred← citeshttps://doi.org/10.1007/bf01277484openalex-snapshot
An infinite class of maximal intermediate propositional logics with the disjunction property
inferred← citeshttps://doi.org/10.1007/bfb0027404openalex-snapshot
Generalized tableau systems for intermediate propositional logics
inferred← citeshttps://doi.org/10.1007/bfb0061839openalex-snapshot
Identity and existence in intuitionistic logic
inferred← citeshttps://doi.org/10.1007/bfb0093923openalex-snapshot
Some lectures on intuitionistic logic
inferred← citeshttps://doi.org/10.1007/s00012-021-00735-4openalex-snapshot
Constructing illoyal algebra-valued models of set theory
inferred← citeshttps://doi.org/10.1007/s00153-003-0189-8openalex-snapshot
Intuitionistic weak arithmetic
inferred← citeshttps://doi.org/10.1007/s00153-006-0320-8openalex-snapshot
On the rules of intermediate logics
inferred← citeshttps://doi.org/10.1007/s00153-010-0209-4openalex-snapshot
Intermediate Logics and the de Jongh property
inferred← citeshttps://doi.org/10.1007/s00153-014-0388-5openalex-snapshot
Admissibility and refutation: some characterisations of intermediate logics
inferred← citeshttps://doi.org/10.1007/s00153-014-0394-7openalex-snapshot
The de Jongh property for Basic Arithmetic
inferred← citeshttps://doi.org/10.1007/s00153-025-00999-wopenalex-snapshot
On the hierarchy of linearity axioms
inferred← citeshttps://doi.org/10.1007/s00153-026-01017-3openalex-snapshot
On the $$\Sigma ^0_1$$-fragments of the Kreisel-Putnam axiom and two variants of the linearity axiom in intuitionistic arithmetic and analysis
inferred← citeshttps://doi.org/10.1007/s00153-026-01025-3openalex-snapshot
Intuitionistic logic of a binary modality
inferred← citeshttps://doi.org/10.1007/s001530200008openalex-snapshot
ℋ-theories, fragments of HA and PA -normality
inferred← citeshttps://doi.org/10.1007/s10670-023-00671-wopenalex-snapshot
What is Intuitionistic Arithmetic?
inferred← citeshttps://doi.org/10.1007/s10817-009-9160-7openalex-snapshot
$\boldsymbol {\cal BC\!D\!L}$ : Basic Constructive Description Logic
inferred← citeshttps://doi.org/10.1007/s11225-012-9382-2openalex-snapshot
Kripke Sheaf Completeness of some Superintuitionistic Predicate Logics with a Weakened Constant Domains Principle
inferred← citeshttps://doi.org/10.1007/s11225-023-10084-zopenalex-snapshot
The Logic ILP for Intuitionistic Reasoning About Probability
inferred← citeshttps://doi.org/10.1016/0003-4843(76)90008-5openalex-snapshot
Kripke models and the intuitionistic theory of species
inferred← citeshttps://doi.org/10.1016/0003-4843(78)90016-5openalex-snapshot
The axiomatization problem for fragments
inferred← citeshttps://doi.org/10.1016/0003-4843(79)90014-7openalex-snapshot
Some applications of Kripke models to formal systems of intuitionistic analysis
inferred← citeshttps://doi.org/10.1016/0003-4843(82)90024-9openalex-snapshot
On the completenes principle: A study of provability in heyting's arithmetic and extensions
inferred← citeshttps://doi.org/10.1016/0168-0072(87)90068-6openalex-snapshot
Maximality in modal logic
inferred← citeshttps://doi.org/10.1016/0168-0072(93)90002-uopenalex-snapshot
The intuitionistic alternative set theory
inferred← citeshttps://doi.org/10.1016/0168-0072(94)00053-6openalex-snapshot
A method to single out maximal propositional logics with the disjunction property I
inferred← citeshttps://doi.org/10.1016/0168-0072(96)00002-4openalex-snapshot
Some intuitions behind realizability semantics for constructive logic: Tableaux and Läuchli countermodels
inferred← citeshttps://doi.org/10.1016/0743-1066(89)90031-9openalex-snapshot
A logical analysis of modules in logic programming
inferred← citeshttps://doi.org/10.1016/1385-7258(78)90047-1openalex-snapshot
Some remarks on the complexity of Henkin-Kripke models
inferred← citeshttps://doi.org/10.1016/j.apal.2018.05.001openalex-snapshot
The Σ1-provability logic of HA
inferred← citeshttps://doi.org/10.1016/j.indag.2019.01.001openalex-snapshot
A semantic hierarchy for intuitionistic logic
inferred← citeshttps://doi.org/10.1016/s0049-237x(08)71127-3openalex-snapshot
Aspects of Constructive Mathematics
inferred← citeshttps://doi.org/10.1016/s0049-237x(09)70140-5openalex-snapshot
Primality and Invertibility of Polynomials
inferred← citeshttps://doi.org/10.1016/s0049-237x(09)70144-2openalex-snapshot
Nonstandard Models and Constructivity
inferred← citeshttps://doi.org/10.1016/s0049-237x(09)70160-0openalex-snapshot
Nonstandard Models and Related Developments
inferred← citeshttps://doi.org/10.1016/s0049-237x(09)70486-0openalex-snapshot
Semantical Models for Intuitionistic Logics
inferred← citeshttps://doi.org/10.1016/s0168-0072(01)00056-2openalex-snapshot
A(nother) characterization of intuitionistic propositional logic
inferred← citeshttps://doi.org/10.1016/s0168-0072(01)00080-xopenalex-snapshot
Analyzing realizability by Troelstra's methods
inferred← citeshttps://doi.org/10.1016/s0168-0072(01)00081-1openalex-snapshot
Substitutions of Σ10-sentences: explorations between intuitionistic propositional logic and intuitionistic arithmetic
inferred← citeshttps://doi.org/10.1016/s0168-0072(97)00057-2openalex-snapshot
Decidable Kripke models of intuitionistic theories
inferred← citeshttps://doi.org/10.1016/s1570-2464(07)80019-xopenalex-snapshot
16 Modal logic in mathematics
inferred← citeshttps://doi.org/10.1016/s1571-0661(05)80401-3openalex-snapshot
Intuitionism — Counting its Blessings. Preliminary version
inferred← citeshttps://doi.org/10.1016/s1874-5857(09)70007-xopenalex-snapshot
The Logic of Brouwer and Heyting
inferred← citeshttps://doi.org/10.1017/9781316755921.011openalex-snapshot
Kripke models of certain subtheories of Heyting Arithmetic
inferred← citeshttps://doi.org/10.1017/bsl.2023.29openalex-snapshot
EXTENDED FRAMES AND SEPARATIONS OF LOGICAL PRINCIPLES
inferred← citeshttps://doi.org/10.1017/cbo9780511910616.009openalex-snapshot
History of constructivism in the 20th century
inferred← citeshttps://doi.org/10.1017/s0022481200027924openalex-snapshot
Markov's principle, isols and Dedekind finite sets
inferred← citeshttps://doi.org/10.1017/s0305004100063854openalex-snapshot
On the quantificational logic of intuitionistic set theory
inferred← citeshttps://doi.org/10.1023/a:1014662102598openalex-snapshot
Interpreting Intuitionistic Propositional Logic in Terms of Intuitionistic Protothetics
inferred← citeshttps://doi.org/10.1023/b:stud.0000039028.22017.4fopenalex-snapshot
On Intermediate Predicate Logics of some Finite Kripke Frames, I. Levelwise Uniform Trees
inferred← citeshttps://doi.org/10.1073/pnas.72.8.2877openalex-snapshot
The disjunction property implies the numerical existence property
inferred← citeshttps://doi.org/10.1090/s0002-9947-07-04297-3openalex-snapshot
The modal logic of forcing
inferred← citeshttps://doi.org/10.1090/s0002-9947-1978-0487048-9openalex-snapshot
Completeness theorems, incompleteness theorems and models of arithmetic
inferred← citeshttps://doi.org/10.1093/logcom/exl031openalex-snapshot
On Non-axiomatizability of Superintuitionistic Predicate Logics of Some Classes of Well-founded and Dually Well-founded Kripke Frames
inferred← citeshttps://doi.org/10.1093/logcom/exp041openalex-snapshot
Arithmetical Completeness of the Intuitionistic Logic of Proofs
inferred← citeshttps://doi.org/10.1093/logcom/exp046openalex-snapshot
A Remark on Superintuitionistic Predicate Logics of Kripke Frames with Constant and with Nested Domains
inferred← citeshttps://doi.org/10.1098/rsta.2022.0018openalex-snapshot
Logics and admissible rules of constructive set theories
inferred← citeshttps://doi.org/10.1111/theo.70041openalex-snapshot
Kripke's Reduction of Löb's Theorem to the Second Incompleteness Theorem
inferred← citeshttps://doi.org/10.1215/00294527-3838972openalex-snapshot
The Admissible Rules of BD2 and GSc
inferred← citeshttps://doi.org/10.1305/ndjfl/1039293063openalex-snapshot
Intuitionistic Open Induction and Least Number Principle and the Buss Operator
inferred← citeshttps://doi.org/10.1305/ndjfl/1039886521openalex-snapshot
Classical and Intuitionistic Models of Arithmetic
inferred← citeshttps://doi.org/10.1305/ndjfl/1040609297openalex-snapshot
On Theorems of Gödel and Kreisel: Completeness and Markov's Principle
inferred← citeshttps://doi.org/10.1305/ndjfl/1093635833openalex-snapshot
Incompleteness in intuitionistic metamathematics.
inferred← citeshttps://doi.org/10.1305/ndjfl/1093636765openalex-snapshot
Finite Kripke models of ${\rm HA}$ are locally ${\rm PA}$.
inferred← citeshttps://doi.org/10.1305/ndjfl/1093637931openalex-snapshot
Nonstandard connectives of intuitionistic propositional logic.
inferred← citeshttps://doi.org/10.1305/ndjfl/1093870454openalex-snapshot
On the Freyd cover of a topos.
inferred← citeshttps://doi.org/10.1305/ndjfl/1163775437openalex-snapshot
Propositional Logics of Closed and Open Substitutions over Heyting's Arithmetic
inferred← citeshttps://doi.org/10.2139/ssrn.3623701openalex-snapshot
Choice, Infinity, and Negation: Both Set-Theory and Quantum-Information Viewpoints to Negation
inferred← citeshttps://doi.org/10.2139/ssrn.3638937openalex-snapshot
A Mathematical Model of Quantum Computer by Both Arithmetic and Set Theory
inferred← citeshttps://doi.org/10.2139/ssrn.3644960openalex-snapshot
The Quantum Strategy of Completeness: On the Self-Foundation of Mathematics
inferred← citeshttps://doi.org/10.2178/jsl/1120224722openalex-snapshot
The superintuitionistic predicate logic of finite Kripke frames is not recursively axiomatizable
inferred← citeshttps://doi.org/10.2178/jsl/1185803617openalex-snapshot
The basic intuitionistic logic of proofs
inferred← citeshttps://doi.org/10.2178/jsl/1190150031openalex-snapshot
Some weak fragments of HA and certain closure properties
inferred← citeshttps://doi.org/10.2178/jsl/1230396766openalex-snapshot
Closed Fragments of Provability Logics of Constructive Theories
inferred← citeshttps://doi.org/10.2307/2271871openalex-snapshot
On the derivability of instantiation properties
inferred← citeshttps://doi.org/10.2307/2271902openalex-snapshot
Extending Gödel's negative interpretation to ZF
inferred← citeshttps://doi.org/10.2307/2274220openalex-snapshot
Replacement and collection in intuitionistic set theory
inferred← citeshttps://doi.org/10.2307/2275149openalex-snapshot
Counting the maximal intermediate constructive logics
inferred← citeshttps://doi.org/10.2307/2275844openalex-snapshot
The decidability of dependency in intuitionistic propositional logic
inferred← citeshttps://doi.org/10.36253/979-12-215-0778-2.09openalex-snapshot
Second incompleteness theorem: research developments and consequences
inferred← citeshttps://doi.org/10.3917/philo.072.0036openalex-snapshot
La justification de la déduction (II)
inferred← citeshttps://doi.org/10.48550/arxiv.2006.11910openalex-snapshot
Not all Kripke models of $\sf HA$ are locally $\sf PA$
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