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An example of a non-transitive relation with a less meaningful transitive closure is "x is the day of the week after y". The transitive closure of this relation is "some day x comes after a day y on the calendar", which is trivially true for all days of the week x and y (and thus equivalent to the Cartesian square , which is " x and y are both ...
It is closely related to valency, which considers other arguments in addition to transitive objects. English grammar makes a binary distinction between intransitive verbs (e.g. arrive, belong, or die, which do not denote a transitive object) and transitive verbs (e.g., announce, bring, or complete, which must
An example in modern English is the verb to arrive. Verbs that can be used in an intransitive or transitive way are called ambitransitive verbs. In English, an example is the verb to eat; the sentences You eat (with an intransitive form) and You eat apples (a transitive form that has apples as the object) are both grammatical.
Transitivity (grammar), a property regarding whether a lexical item denotes a transitive object; Transitive verb, a verb which takes an object; Transitive case, a grammatical case to mark arguments of a transitive verb
Transitive alignment: certain Iranian languages, such as Rushani, distinguish only transitivity (in the past tense), using a transitive case for both A and O, and an intransitive case for S. That is sometimes called a double-oblique system, as the transitive case is equivalent to the accusative in the non-past tense.
Valence plays an important role in a number of the syntactic frameworks that have been developed in the last few decades. In generalized phrase structure grammar (GPSG), [16] many of the phrase structure rules generate the class of verbs with a particular valence. For example, the following rule generates the class of transitive verbs:
Example: Abdul is happy. Jeanne is a person. I am she. Subject + Verb (transitive) + Indirect Object + Direct Object Example: She made me a pie. This clause pattern is a derivative of S+V+O, transforming the object of a preposition into an indirect object of the verb, as the example sentence in transformational grammar is actually "She made a ...
The transitive extension of R 1 would be denoted by R 2, and continuing in this way, in general, the transitive extension of R i would be R i + 1. The transitive closure of R, denoted by R* or R ∞ is the set union of R, R 1, R 2, ... . [8] The transitive closure of a relation is a transitive relation. [8]
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