Results 31 to 40 of about 785,300 (287)

De Jongh's Theorem for Intuitionistic Zermelo-Fraenkel Set Theory [PDF]

open access: yes, 2019
We prove that the propositional logic of intuitionistic set theory IZF is intuitionistic propositional logic IPC. More generally, we show that IZF has the de Jongh property with respect to every intermediate logic that is complete with respect to a class
Passmann, Robert
core   +3 more sources

On Deriving Nested Calculi for Intuitionistic Logics from Semantic Systems [PDF]

open access: yes, 2020
This paper shows how to derive nested calculi from labelled calculi for propositional intuitionistic logic and first-order intuitionistic logic with constant domains, thus connecting the general results for labelled calculi with the more refined ...
A Ciabattoni   +17 more
core   +2 more sources

Intuitionistic hybrid logic

open access: yesJournal of Applied Logic, 2006
AbstractHybrid logics are a principled generalization of both modal logics and description logics, a standard formalism for knowledge representation. In this paper we give the first constructive version of hybrid logic, thereby showing that it is possible to hybridize constructive modal logics.
Torben Braüner, Valeria de Paiva
openaire   +2 more sources

Circular Proofs as Session-Typed Processes: A Local Validity Condition [PDF]

open access: yesLogical Methods in Computer Science, 2022
Proof theory provides a foundation for studying and reasoning about programming languages, most directly based on the well-known Curry-Howard isomorphism between intuitionistic logic and the typed lambda-calculus.
Farzaneh Derakhshan, Frank Pfenning
doaj   +1 more source

A bilateral Hilbert-style investigation of 2-intuitionistic logic

open access: yesJournal of Logic and Computation, 2019
We develop a bilateral Hilbert-style calculus for 2-intuitionistic logic of Heinrich Wansing. This calculus is defined over signed formulas of two types: formulas signed with plus correspond to assertions, while formulas signed with minus correspond to
S. Drobyshevich
semanticscholar   +1 more source

Generalized Ideals of BCK/BCI-Algebras Based on Fuzzy Soft Set Theory

open access: yesAdvances in Fuzzy Systems, 2021
In the present paper, using Lukaswize triple-valued logic, we introduce the notion of α,β-intuitionistic fuzzy soft ideal of BCK/BCI-algebras, where α and β are the membership values between an intuitionistic fuzzy soft point and intuitionistic fuzzy set.
G. Muhiuddin   +3 more
doaj   +1 more source

Intuitionism and the Modal Logic of Vagueness [PDF]

open access: yes, 2020
Intuitionistic logic provides an elegant solution to the Sorites Paradox. Its acceptance has been hampered by two factors. First, the lack of an accepted semantics for languages containing vague terms has led even philosophers sympathetic to intuitionism
Bobzien, Susanne, Rumfitt, Ian
core   +1 more source

On the Mints Hierarchy in First-Order Intuitionistic Logic [PDF]

open access: yesFoundations of Software Science and Computation Structure, 2015
We study the decidability and complexity of fragments of intuitionistic first-order logic over ( ∀ , → ) determined by the alternation of positive and negative occurrences of quantifiers (Mints hierarchy).
Aleksy Schubert   +2 more
semanticscholar   +1 more source

Minimal Systems of Temporal Logic

open access: yesAxioms, 2020
The article discusses minimal temporal logic systems built on the basis of classical logic as well as intuitionistic logic. The constructions of these systems are discussed as well as their basic properties.
Dariusz Surowik
doaj   +1 more source

Dual-Intuitionistic Logic [PDF]

open access: yesNotre Dame Journal of Formal Logic, 1996
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +2 more sources

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