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Ontologies and languages for representing mathematical knowledge on the semantic web
Abstract Mathematics is a ubiquitous foundation of science, technology, and engineering.
Specific areas of mathematics, such as numeric and symbolic computation or logics, enjoy …
Specific areas of mathematics, such as numeric and symbolic computation or logics, enjoy …
Hierarchy Builder: algebraic hierarchies made easy in Coq with Elpi
It is nowadays customary to organize libraries of machine checked proofs around
hierarchies of algebraic structures [2, 6, 8, 16, 18, 23, 27]. One influential example is the …
hierarchies of algebraic structures [2, 6, 8, 16, 18, 23, 27]. One influential example is the …
QED reloaded: towards a pluralistic formal library of mathematical knowledge
Abstract Proposed in 1994, the``QED project''was one of the seminally influential initiatives
in automated reasoning: It envisioned the formalization of``all of mathematics''and the …
in automated reasoning: It envisioned the formalization of``all of mathematics''and the …
Theorema 2.0: Computer-assisted natural-style mathematics
The Theorema project aims at the development of a computer assistant for the working
mathematician. Support should be given throughout all phases of mathematical activity, from …
mathematician. Support should be given throughout all phases of mathematical activity, from …
Project VoLL-KI: Learning from Learners
Abstract “Learning from Learners”(“Von Lernenden Lernen”,“VoLL-KI” for short) is a is
collaborative research project with the goal of creating a practical toolbox of instruments at …
collaborative research project with the goal of creating a practical toolbox of instruments at …
Big math and the one-brain barrier: The tetrapod model of mathematical knowledge
Big Math and the One-Brain Barrier: The Tetrapod Model of Mathematical Knowledge | The
Mathematical Intelligencer Skip to main content Springer Nature Link Account Menu Find a …
Mathematical Intelligencer Skip to main content Springer Nature Link Account Menu Find a …
The Y-Model-Formalization of Computer Science Tasks in the Context of Adaptive Learning Systems
Tasks, understood as educational instructions to transform an initial state to a targeted state
in the learner model, are central elements in (computer science) education, irrespective of …
in the learner model, are central elements in (computer science) education, irrespective of …
How to identify, translate and combine logics?
We give general definitions of logical frameworks and logics. Examples include the logical
frameworks LF and Isabelle and the logics represented in them. We apply this to give …
frameworks LF and Isabelle and the logics represented in them. We apply this to give …
Project abstract: logic atlas and integrator (LATIN)
LATIN aims at develo** methods, techniques, and tools for interfacing logics and related
formal systems. These systems are at the core of mathematics and computer science and …
formal systems. These systems are at the core of mathematics and computer science and …
On algebraic hierarchies in mathematical repository of Mizar
Mathematics, especially algebra, uses plenty of structures: groups, rings, integral domains,
fields, vector spaces to name a few of the most basic ones. Classes of structures are closely …
fields, vector spaces to name a few of the most basic ones. Classes of structures are closely …