1 citations · 1 across the 14 of their papers we have counts for
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Extending the (Elementary) Mathematical Data Model and MatBase with two new constraint types: inexistence and anti-existence
Christian Mancas
This research paper introduces two new constraint types and four subtypes of database constraints added to our (Elementary) Mathematical Data Model, which are the duals of the exis…
From (Elementary) Mathematical Data Model Schemas to Safe Blazor Web Applications with Claude AI
Christian Mancas, Diana Christina Mancas
This research paper mainly describes how to develop MS Blazor safe web applications with Claude AI, version Sonnet 4.5, starting from (Elementary) Mathematical Data Model schemas.…
MatBase algorithm for translating (E)MDM schemes into E-R data models
Christian Mancas, Diana Christina Mancas
This paper presents a pseudocode algorithm for translating (Elementary) Mathematical Data Model ((E)MDM) schemes into Entity-Relationship data models. We prove that this algorithm…
Translating database mathematical schemes into relational database software applications with MatBase
Christian Mancas, Diana Christina Mancas
We present a pseudocode algorithm for translating our (Elementary) Mathematical Data Model schemes into relational ones and associated sets of non-relational constraints, used by M…
MatBase Metadata Catalog Management
Christian Mancas
MatBase is a prototype intelligent data and knowledge base management system based on the Relational, Entity-Relationship, and (Elementary) Mathematical Data Models. The latter dis…
MatBase Algorithm for Translating Entity-Relationship Data Models into (Elementary) Mathematical Data Model Schemes
Christian Mancas, Diana Christina Mancas
This paper presents a pseudocode algorithm for translating Entity-Relationship data models into (Elementary) Mathematical Data Model schemes. We prove that this algorithm is linear…
On Enforcing Satisfiable, Coherent, and Minimal Sets of Self-Map Constraints in MatBase
Christian Mancas
This paper rigorously and concisely defines, in the context of our (Elementary) Mathematical Data Model ((E)MDM), the mathematical concepts of self-map, composite mapping, totality…
On Enforcing Satisfiable, Coherent, and Minimal Sets of Dyadic Relation Constraints in MatBase
Christian Mancas
This paper rigorously and concisely defines, in the context of our (Elementary) Mathematical Data Model ((E)MDM), the mathematical concepts of dyadic relation, reflexivity, irrefle…
The (Elementary) Mathematical Data Model Revisited
Christian Mancas
This paper presents the current version of our (Elementary) Mathematical Data Model ((E)MDM), which is based on the naïve theory of sets, relations, and functions, as well as on th…
On enforcing function diagram commutativity and anti-commutativity constraints in MatBase
Christian Mancas, Diana Christina Mancas
Presented are algorithms for enforcing function diagram commutativity and anti-commutativity database constraints, using the database software application constraint-driven design…
On Enforcing Existence and Non-Existence Constraints in MatBase
Christian Mancas
Existence constraints were defined in the Relational Data Model, but, unfortunately, are not provided by any Relational Database Management System, except for their NOT NULL partic…
On enforcing dyadic-type homogeneous binary function product constraints in MatBase
Christian Mancas
Homogeneous binary function products are often encountered in the sub-universes modeled by databases, from genealogical trees to sports, from education to healthcare, etc. Their pr…