Sentence examples for given formal language from inspiring English sources

Tarski showed how to derive, from axioms and rules, certain statements that specify the conditions under which any sentence of a given formal language is true.

This long paper undertook two tasks: first to say what should count as a satisfactory definition of 'true sentence' for a given formal language, and second to show that there do exist satisfactory definitions of 'true sentence' for a range of formal languages.

All patients (or their parents) gave formal informed consent after detailed explanations given in Diola language by a local health care assistant and the agreement was systematically obtained in the presence of a witness from the village.

All hospitals gave formal consent to participate.

In those works a logic system was given by a formal language and a deductive calculus, namely a set of axioms and a set of inference rules.

One criticism focuses on the semantics that is given for quantifiers in the formal language that is used as the canonical notation of the natural language representations of the contents of beliefs.

Finally, (iii) Hilbert uses ordinary German (with mathematical terminology), rather than a formal language, to present his axioms; no truth-definition is given, but the truth-conditions of sentences are taken as understood.

Model theory began with the study of formal languages and their interpretations, and of the kinds of classification that a particular formal language can make.

World versions do not have to be constructed in a formal language, though; indeed, they do not need to be in a language, formal or informal, at all.

In this section we present how the formal languages of propositional logics are given an algebraic interpretation.

In order to emphasize the use of a formal language in domain representations, we here subscribe to the concept of formal ontologies (Guarino, 1998) as theories that attempt to give precise representations of the types of entities in reality, of their properties and of the relations among them, using axioms and definitions that support algorithmic reasoning.