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Intuitionistic fixed point logic [PDF]

open access: yesAnnals of Pure and Applied Logic, 2021
We study the system IFP of intuitionistic fixed point logic, an extension of intuitionistic first-order logic by strictly positive inductive and coinductive definitions. We define a realizability interpretation of IFP and use it to extract computational content from proofs about abstract structures specified by arbitrary classically true disjunction ...
Ulrich Berger 0001, Hideki Tsuiki
openaire   +3 more sources

Intuitionistic implication makes model checking hard [PDF]

open access: yesLogical Methods in Computer Science, 2012
We investigate the complexity of the model checking problem for intuitionistic and modal propositional logics over transitive Kripke models. More specific, we consider intuitionistic logic IPC, basic propositional logic BPL, formal propositional logic ...
Martin Mundhenk, Felix Weiss
doaj   +1 more source

The Knowability Paradox in the light of a Logic for Pragmatics [PDF]

open access: yes, 2013
The Knowability Paradox is a logical argument showing that if all truths are knowable in principle, then all truths are, in fact, known. Many strategies have been suggested in order to avoid the paradoxical conclusion.
Carrara, Massimiliano   +3 more
core   +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

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

Intuitionistic hybrid logic

open access: yesJournal of Applied Logic, 2006
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Torben Braüner, Valeria de Paiva
openaire   +3 more sources

Two loop detection mechanisms: a comparison [PDF]

open access: yes, 1997
In order to compare two loop detection mechanisms we describe two calculi for theorem proving in intuitionistic propositional logic. We call them both MJ Hist, and distinguish between them by description as `Swiss' or `Scottish'. These calculi combine in
Howe, J. M.   +3 more
core   +1 more source

Hennessy-Milner Properties for (Modal) Bi-intuitionistic Logic

open access: yes, 2022
Bi-intuitionistic logic is an extension of intuitionistic propositional logic with a binary operator that is residuated with respect to disjunction.
Pattinson, Dirk, de Groot, Jim
core   +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

Some geometrical methods for constructing contradiction measures on Atanassov's intuitionistic fuzzy sets [PDF]

open access: yes, 2011
Trillas et al. (1999, Soft computing, 3 (4), 197–199) and Trillas and Cubillo (1999, On non-contradictory input/output couples in Zadeh's CRI proceeding, 28–32) introduced the study of contradiction in the framework of fuzzy logic because of the ...
Torres Blanc, Carmen   +5 more
core   +1 more source

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