Sentence examples for closed term from inspiring English sources
The phrase "closed term" is correct and usable in written English
It can be used in contexts such as mathematics, logic, or linguistics to refer to a term that has a specific, fixed meaning. Example: "In this equation, 'x' is a closed term that represents a constant value."
Substituting types such as Int or (Int -> Int) -> Int (sometimes called type constants for clarity) for all the type variables results in a well-typed closed term.
To analyze this initial configuration, we first transform the recursion of the dynamic system into a closed term.
When (e) is a well-typed closed term, we omit (Gamma ) and simply write (vdash,e tau ).
The specification for the reflexive pronoun 'himself' is a pure combinator (a closed term): it identifies the first and second argument of a binary relation.
Free logics are formal systems that drop the assumption made in standard first and higher order logic that every closed term denotes an object in the domain of the model.
This comes as a consequence of two properties: (1) progress, which guarantees that any well typed closed term reduces to a value; and (2) preservation, that ensures that term reduction preserves types.
The model provides closed terms for both the chemical reactions and micromixing and it allows computing processes with either pre-mixed or unmixed feeds of reactors.
Moreover, with the help of De Morgan's laws, the existence property (3) may then be rephrased thus: if ϕ(a) is true for all closed terms a of type A, then ∀x ∊ Aϕ(x) is true.
For the Boolean topos to be ω-complete requires furthermore that all numerals that is, closed terms of type N in its internal language be standard that is, have the form 0, SS0 SS0, and so on.
Therefore the only closed terms of the language of arithmetic are the numerals 0, S(0), S 0(0)), S S(S 0))), ….
These closed instances are obtained by replacing their open assumptions with closed proofs of them, and their open variables with closed terms.
