Sentence examples for a formal calculus from inspiring English sources
The phrase "a formal calculus" is correct and usable in written English
It can be used in contexts related to mathematics, logic, or computer science where formal systems or frameworks are discussed. Example: "In this paper, we will explore the properties of a formal calculus that can be applied to reasoning about programming languages."
Instrumentalists suggested that terms such as electron should not be taken to refer to minute parts of matter; they simply function in a formal calculus that enables one to make true predictions about observables.
Instrumentalists took scientific theories to be axiomatic systems only part of whose vocabulary the observational language is interpreted; the rest is a formal calculus whose purpose is to yield predictions couched in the observational vocabulary.
However, systematic attempts to develop a formal calculus involving it were made only after Shannon's breakthrough.
Iemhoff and Metcalfe [2009] developed a formal calculus for generalized admissibility for IPC and some intermediate logics.
The semantic view of theories (see e.g. van Fraassen 1980, Giere 1988, Suppe 1989, and Suppes 2002) reverses this standpoint and declares that we should dispense with a formal calculus altogether and view a theory as a family of models.
Building an automated reasoning program means providing an algorithmic description to a formal calculus so that it can be implemented on a computer to prove theorems of the calculus in an efficient manner.
Both facilities are possible thanks to the chosen internal representation mechanism, which is a mathematical model of the description, and to an underlying formal calculus that allows the description to be correctly manipulated.
We use a syntactic approach presenting a formal logical calculus that can be regarded as a meta-logic that describes the reasoning and activities of the agents.
Two items are related by formal analogy if they are both interpretations of the same formal calculus.
This paper develops a static type and effect system to prevent the mentioned lock errors for a formal, object-oriented calculus which supports non-lexical lock handling and exceptions.
The outgrowth of that work led to Scott's introduction of domain theory, providing, in particular, mathematical models for the λ-calculus, or lambda calculus (a formal mathematical-logical system invented in 1936 by the American logician Alonzo Church), and many other related theories.
