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Term model constructions In many cases, the categorical semantics of a logic provide a basis for establishing a correspondence between theories in the logic and instances of an appropriate kind of category. A classic example is the correspondence between theories of βη-equational logic over simply typed lambda calculus and Cartesian closed ...
Categorical (or "functorial") semantics [11] uses category theory as the core mathematical formalism. Categorical semantics is usually proven to correspond to some axiomatic semantics that gives a syntactic presentation of the categorical structures. Also, denotational semantics are often instances of a general categorical semantics; [12]
An example of such is the semantic data model that is standardised as ISO 15926-2 (2002), which is further developed into the semantic modelling language Gellish (2005). The definition of the Gellish language is documented in the form of a semantic data model. Gellish itself is a semantic modelling language, that can be used to create other ...
One model that incorporates the Bayesian theory of concept learning is the ACT-R model, developed by John R. Anderson. [citation needed] The ACT-R model is a programming language that defines the basic cognitive and perceptual operations that enable the human mind by producing a step-by-step simulation of human behavior. This theory exploits ...
A theory is κ-categorical (or categorical in κ) if it has exactly one model of cardinality κ up to isomorphism. Morley's categoricity theorem is a theorem of Michael D. Morley ( 1965 ) stating that if a first-order theory in a countable language is categorical in some uncountable cardinality , then it is categorical in all uncountable ...
The cognitive approach consists of two concepts: information processing depends on internal representations, and that mental representations undergo transformations.For the first concept, we could describe an object in a number of ways, with drawings, equations, or verbal descriptions, but it is up to the recipient to have a background understanding of the context to which the object is being ...
Business semantics management [1] [2] (BSM) encompasses the technology, methodology, organization, and culture that brings business stakeholders together to collaboratively realize the reconciliation of their heterogeneous metadata; and consequently the application of the derived business semantics patterns to establish semantic alignment [3] between the underlying data structures.
Exemplar Theory is often contrasted with prototype theory, which proposes another method of categorization.Recently the adoption of both prototypes and exemplars based representations and categorization has been implemented in a cognitively inspired artificial system called DUAL PECCS (Dual Prototypes and Exemplars based Conceptual Categorization System) that, due to this integration, has ...