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CLASSIFICATION THEORY FOR ACCESSIBLE CATEGORIES [PDF]

open access: yesThe Journal of Symbolic Logic, 2016
AbstractWe show that a number of results on abstract elementary classes (AECs) hold in accessible categories with concrete directed colimits. In particular, we prove a generalization of a recent result of Boney on tameness under a large cardinal assumption.
Michael J. Lieberman, Jirí Rosický
openaire   +4 more sources

Algebraic Presentations of Type Dependency [PDF]

open access: yesLogical Methods in Computer Science
C-systems were defined by Cartmell as the algebraic structures that correspond exactly to generalised algebraic theories. B-systems were defined by Voevodsky in his quest to formulate and prove an initiality conjecture for type theories.
Benedikt Ahrens   +3 more
doaj   +1 more source

Decomposition theories for abelian categories [PDF]

open access: yesTransactions of the American Mathematical Society, 1973
Both the classical approach to decomposition theories and Fisher’s technique of constructing decomposition theories from radical functions are extended to and exploited in the context of abelian categories. These two different approaches to decomposition theories for abelian categories intertwine in one theorem from which flows ...
Fisher, Joe W., Wolff, Harvey
openaire   +1 more source

The exploration of a category theory-based virtual Geometrical product specification system for design and manufacturing [PDF]

open access: yes
In order to ensure quality of products and to facilitate global outsourcing, almost all the so-called “world-class” manufacturing companies nowadays are applying various tools and methods to maintain the consistency of a product’s characteristics ...
Xu, Yuanping
core   +4 more sources

String diagrams for Strictification and Coherence [PDF]

open access: yesLogical Methods in Computer Science
Whereas string diagrams for strict monoidal categories are well understood, and have found application in several fields of Computer Science, graphical formalisms for non-strict monoidal categories are far less studied.
Paul Wilson, Dan Ghica, Fabio Zanasi
doaj   +1 more source

A Grammar of the Distinctive Competence Development at the Firm for the Solution of Systemic Problems

open access: yesJournal of Innovation Management, 2020
Competitiveness results from factors beyond the structural conditions and organizational boundaries, such as interorganizational cooperation. Evidence gathered in Brazilian credit unions suggests there is a social process in the firm for generating ...
Bruno da Rocha Braga
doaj   +1 more source

The Development of Ideological and Political Education Category [PDF]

open access: yes, 2015
The development of ideological and political education category is about the study of the development of ideological and political education category and its system construction.
LI, Changsong
core   +1 more source

A logic for category theory

open access: yesTheoretical Computer Science, 1993
The foundations of category theory are considered. Following the example of Tarski's reductionism for first order logic, the authors have built a logical system and a set theory which they call NaDSet (NaD from Natural Deduction). Subtle use of controlled self-reference and other subtle technical means allows them to avoid artificial distinction ...
Paul C. Gilmore, George K. Tsiknis
openaire   +1 more source

Category model to modeling the surface texture knowledge-base [PDF]

open access: yes, 2006
The next generations of Geometrical Product Specification (GPS) standards are considered to be too theoretical, abstract, complex and over-elaborate. And it is not easier for industry to understand and implement them efficiently in a short time.
Jiang, Xiang, Wang, Yan, Scott, Paul J.
core   +4 more sources

Representing 3/2-Institutions as Stratified Institutions

open access: yesMathematics, 2022
On the one hand, the extension of ordinary institution theory, known as the theory of stratified institutions, is a general axiomatic approach to model theories where the satisfaction is parameterized by states of the models.
Răzvan Diaconescu
doaj   +1 more source

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