Sentence examples for the valid formulas from inspiring English sources

In this way, we can list out all theorems, i.e., exactly all the valid formulas of first-order logic, can be listed out by a simple mechanical procedure.

This means that the difference between indiscernibility and I(A,x,y) is minimized at least to the extent that, for a sufficiently rich language such as L, the valid formulas concerning indiscernibility (i.e., the formulas true in every model of what is termed below 'the pure L-theory with identity') coincide with the valid formulas concerning I(A,x,y).

Only a special class of worlds (sometimes called "base worlds" and sometimes called "normal worlds") make true the valid formulae.

A typical modus operandi to produce a subclassical system is to modify the rules in order to restrict the moves available to the Proponent, thus restricting the set of his winning strategies (i.e., of the dialogically valid formulas).

Property (3) is proved from the still valid formulas (2.14)–(2.14).

Now, with the exception of the modal systems, many of the dialogical systems in the literature are subclassical, in the sense that the set of valid formulas of these systems is a subset of the set of classically valid formulas.

More precisely, the set of valid formulas is the range of a computable function.

For navigation of the built-in functions (66 total), the Cytoscape Attribute Browser provides a Formula Builder, which displays a list of available functions with usage descriptions and guides the user in the construction of valid formulas.

The same definitions are then still possible, but the list of valid formulas is different; e.g., ∼∼p ⊃ p, which was previously valid, now has the value 1/2 when p has the value 1/2.

Since the use of placebo in research remains the only valid formula to demonstrate the effectiveness of new treatments, despite the ethical aspects of the use of placebo, it is necessary to investigate what mechanisms influence this trend.

In modern terminology we say that the set of valid formulas of first-order logic is recursively enumerable (r.e).. Gödel's Completeness theorem was not sufficient, however, to give a positive solution to the entscheidungsproblem.