|Equivalence: Relation between sentences. It exists if both sides have the same truth value, so that they are both true or both false._____________Annotation: The above characterizations of concepts are neither definitions nor exhausting presentations of problems related to them. Instead, they are intended to give a short introduction to the contributions below. – Lexicon of Arguments. |
John Lyons on Equivalence - Dictionary of Arguments
Def Weak Equivalent/Grammar/Linguistics/Lyons: are two grammars if they generate an identical set of sentences.
Def Strongly Equivalent: they are strongly equivalent if they also assign the same structural description to the sentences.
The difference between the two is evident in the categorical grammars, which differ from the "substitution systems" discussed above._____________Explanation of symbols: Roman numerals indicate the source, arabic numerals indicate the page number. The corresponding books are indicated on the right hand side. ((s)…): Comment by the sender of the contribution. Translations: Dictionary of Arguments The note [Concept/Author], [Author1]Vs[Author2] or [Author]Vs[term] resp. "problem:"/"solution:", "old:"/"new:" and "thesis:" is an addition from the Dictionary of Arguments. If a German edition is specified, the page numbers refer to this edition.
Semantics Cambridge, MA 1977
Introduction to Theoretical Lingustics, Cambridge/MA 1968
Einführung in die moderne Linguistik München 1995