Results 21 to 30 of about 25,852,401 (225)
(In)consistency of Extensions of Higher Order Logic and Type Theory [PDF]
It is well-known, due to the work of Girard and Coquand, that adding polymorphic domains to higher order logic, HOL, or its type theoretic variant ¿HOL, renders the logic inconsistent. This is known as Girard’s paradox, see [4]. But there is also another presentation of higher order logic, in its type theoretic variant called ¿PRED¿, to which ...
openaire +4 more sources
First-Order Logic Foundation of Relativity Theories [PDF]
Motivation and perspective for an exciting new research direction interconnecting logic, spacetime theory, relativity--including such revolutionary areas as black hole physics, relativistic computers, new cosmology--are presented in this paper.
X. Madarasz, Judit +5 more
core +1 more source
Binding-Time Analysis for Mercury [PDF]
In this work, we develop a binding-time analysis for the logic programming language Mercury. We introduce a precise domain of binding-times, based on the type information available in Mercury programs, that allows the analyser to reason with partially ...
Wim Vanhoof +6 more
core +1 more source
Taking Stock: Hale, Heck, and Wright on Neo-Logicism and Higher-Order Logic [PDF]
Four philosophical concerns about higher-order logic in general and the specific demands placed on it by the neo-logicist project are distinguished.
Wright, Crispin
core +1 more source
A second order logic of existence [PDF]
Publisher's, offprint versionA. N. Prior in [9] has suggested an approach towards a second order logic of existence where, following medieval logicians, we distinguish “between predicates (like ‘is red’, ‘is hard’, etc.) which entail existence, and ...
Cocchiarella, Nino
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We introduce a variation on Barthe et al.’s higher-order logic in which formulas are interpreted as predicates over open rather than closed objects. This way, concepts which have an intrinsically functional nature, like continuity, differentiability, or ...
Alexis Ghyselen +8 more
core +1 more source
This pilot study investigates the potential of Generative AI to provide formative feedback to students. ChatGPT was prompted to provide feedback on Year 1 Bioscience essays, which were evaluated against established good feedback practices. GenAI‐authored feedback had useful elements, but was limited in scope. GenAI may have potential to provide instant,
Annabel Court +3 more
wiley +1 more source
ABSTRACT Advancing artificial intelligence (AI) has transformed learning and work, yet higher education and professional development programs have not systematically equipped learners for AI‐prevalent environments. This lack of preparation creates uncertainty regarding control, responsibility, trust, and accountability.
Moon‐Heum Cho, Jerusalem Merkebu
wiley +1 more source
The succinctness of first-order logic on linear orders [PDF]
Succinctness is a natural measure for comparing the strength of different logics. Intuitively, a logic L_1 is more succinct than another logic L_2 if all properties that can be expressed in L_2 can be expressed in L_1 by formulas of (approximately) the ...
Schweikardt, Nicole, Grohe, Martin
core +1 more source
A unified research data management framework for heterogeneous materials data is presented. The system integrates multimodal datasets using ontologies and knowledge graphs, enabling interoperability and FAIR (findable, accessible, interoperable, reusable) data principles. By linking data across scales and workflows, it supports reproducible, Artifitial
Doaa Mohamed +6 more
wiley +1 more source

