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But two things argued against such a choice: (1) a book with that title already exists (Glasgow et al. 1995, on the reemergence of diagrammatic representations in computer science), and, consequently (2) the close association of that title with diagrams in computer science specifically."
Let be a first-order language and be a theory over . For a model of one expands to a new language := {:} by adding a new constant symbol for each element in , where is a subset of the domain of .
A logical graph is a special type of graph-theoretic structure in any one of several systems of graphical syntax that Charles Sanders Peirce developed for logic.. In his papers on qualitative logic, entitative graphs, and existential graphs, Peirce developed several versions of a graphical formalism, or a graph-theoretic formal language, designed to be interpreted for logic.
A Venn diagram is a widely used diagram style that shows the logical relation between sets, popularized by John Venn (1834–1923) in the 1880s. The diagrams are used to teach elementary set theory, and to illustrate simple set relationships in probability, logic, statistics, linguistics and computer science.
A flowchart can also be defined as a diagrammatic representation of an algorithm, a step-by-step approach to solving a task. The flowchart shows the steps as boxes of various kinds, and their order by connecting the boxes with arrows. This diagrammatic representation illustrates a solution model to a given problem.
In mathematics, and especially in category theory, a commutative diagram is a diagram of objects, also known as vertices, and morphisms, also known as arrows or edges, such that when selecting two objects any directed path through the diagram leads to the same result by composition.
The term "diagram" in its commonly used sense can have a general or specific meaning: visual information device : Like the term "illustration", "diagram" is used as a collective term standing for the whole class of technical genres, including graphs, technical drawings and tables.
Let M be a structure in a first-order language L.An extended language L(M) is obtained by adding to L a constant symbol c a for every element a of M.The structure M can be viewed as an L(M) structure in which the symbols in L are interpreted as before, and each new constant c a is interpreted as the element a.