Sentence examples for closed terms from inspiring English sources

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))), ….

One could avoid the problems by barring closed terms from the language, but such a radical exclusion seems ad hoc and artificial.

These closed instances are obtained by replacing their open assumptions with closed proofs of them, and their open variables with closed terms.

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.

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.