Results 11 to 20 of about 19,372 (208)
Admissible Tools in the Kitchen of Intuitionistic Logic [PDF]
Electronic Proceedings in Theoretical Computer Science, 2018 The usual reading of logical implication "A implies B" as "if A then B" fails in intuitionistic logic: there are formulas A and B such that "A implies B" is not provable, even though B is provable whenever A is provable.
Andrea Condoluci, Matteo Manighetti
doaj +1 more source
HH∗−intuitionistic heyting valued Ω-algebra and homomorphism [PDF]
Journal of Hyperstructures, 2017 Intuitionistic Logic was introduced by L. E. J. Brouwer in[1] and Heyting algebra was defined by A. Heyting to formalize the Brouwer’s intuitionistic logic[4]. The concept of Heyting algebra has been accepted as the basis for intuitionistic propositional
Sinem Tarsuslu(Yılmaz) +1 more
doaj +1 more source
Intuitionistic fixed point logic [PDF]
Annals 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 ...
Berger, Ulrich, Tsuiki, Hideki
openaire +4 more sources
Functional Interpretations of Intuitionistic Linear Logic [PDF]
Logical Methods in Computer Science, 2011 We present three different functional interpretations of intuitionistic linear logic ILL and show how these correspond to well-known functional interpretations of intuitionistic logic IL via embeddings of IL into ILL.
Gilda Ferreira, Paulo Oliva
doaj +1 more source
Relating Sequent Calculi for Bi-intuitionistic Propositional Logic [PDF]
Electronic Proceedings in Theoretical Computer Science, 2011 Bi-intuitionistic logic is the conservative extension of intuitionistic logic with a connective dual to implication. It is sometimes presented as a symmetric constructive subsystem of classical logic.
Luís Pinto, Tarmo Uustalu
doaj +1 more source
The ILLTP Library for Intuitionistic Linear Logic [PDF]
Electronic Proceedings in Theoretical Computer Science, 2019 Benchmarking automated theorem proving (ATP) systems using standardized problem sets is a well-established method for measuring their performance. However, the availability of such libraries for non-classical logics is very limited.
Carlos Olarte +3 more
doaj +1 more source
On an Intuitionistic Logic for Pragmatics [PDF]
, 2018 We reconsider the pragmatic interpretation of intuitionistic logic [21] regarded as a logic of assertions and their justications and its relations with classical logic.
Bellin, Gianluigi +2 more
core +1 more source
Dual-Intuitionistic Logic [PDF]
Notre Dame Journal of Formal Logic, 1996 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire +2 more sources
Intuitionistic implication makes model checking hard [PDF]
Logical 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
De Jongh's Theorem for Intuitionistic Zermelo-Fraenkel Set Theory [PDF]
, 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