Results 21 to 30 of about 19,372 (208)

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

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

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

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

Weakly Intuitionistic Quantum Logic [PDF]

open access: yesStudia Logica, 2012
In this paper we motivate and study the possibility of an intuitionistic quantum logic. An explicit investigation of the application of the theory of Bruns and Lakser on distributive hulls on traditional quantum logic (as suggested in [Coe]) leads us to a small modification of this scheme. In this way we obtain a weak Heyting algebra (cf.
openaire   +4 more sources

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

Intuitionistic Linear Temporal Logics [PDF]

open access: yesACM Transactions on Computational Logic, 2019
We consider intuitionistic variants of linear temporal logic with “next,” “until,” and “release” based on expanding posets : partial orders equipped with an order-preserving transition function. This class of structures gives rise to a logic that we denote ITL e , and by imposing additional ...
Philippe Balbiani   +3 more
openaire   +4 more sources

Monadic Fragments of Intuitionistic Control Logic [PDF]

open access: yes, 2016
We investigate monadic fragments of Intuitionistic Control Logic (ICL), which is obtained from Intuitionistic Propositional Logic (IPL) by extending language of IPL by a constant distinct from intuitionistic constants.
Glenszczyk, Anna
core   +2 more sources

Proof-search of propositional intuitionistic logic sequents by means of classical logic calculus

open access: yesLietuvos Matematikos Rinkinys, 2008
In the paper, we define some classes of sequents of the propositional intuitionistic logic. These are classes of primarily and α-primarily reducible sequents. Then we show how derivability of these sequents in a propositional intuitionistic logic sequent
Romas Alonderis
doaj   +1 more source

Uniform Definability in Propositional Dependence Logic

open access: yes, 2016
Both propositional dependence logic and inquisitive logic are expressively complete. As a consequence, every formula with intuitionistic disjunction or intuitionistic implication can be translated equivalently into a formula in the language of ...
Yang, Fan
core   +1 more source

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