Search results
Results From The WOW.Com Content Network
Open Language Tools consist of the XLIFF Filters designed to convert different source file formats to XLIFF and the XLIFF Translation Editor which is designed to read and edit XLIFF files. They are written in Java and run on Windows , Mac OS , or Linux as long as Java J2RE (at least 1.4.2) is installed.
In logic, a set of symbols is commonly used to express logical representation. The following table lists many common symbols, together with their name, how they should be read out loud, and the related field of mathematics .
In mathematical logic, more specifically in the proof theory of first-order theories, extensions by definitions formalize the introduction of new symbols by means of a definition. For example, it is common in naive set theory to introduce a symbol ∅ {\displaystyle \emptyset } for the set that has no member.
The unique empty set is represented as {}. Functions in TLA + assign a value to each element in their domain, a set. [S -> T] is the set of all functions with f[x] in T, for each x in the domain set S. For example, the TLA + function Double[x \in Nat] == x*2 is an element of the set [Nat -> Nat] so Double \in [Nat -> Nat] is a true statement in ...
The extension of a predicate – a truth-valued function – is the set of tuples of values that, used as arguments, satisfy the predicate. Such a set of tuples is a relation . Examples
For the pair a, b there are 2 2 =4 possible interpretations: 1) both are assigned T, 2) both are assigned F, 3) a is assigned T and b is assigned F, or 4) a is assigned F and b is assigned T. Given any truth assignment for a set of propositional symbols, there is a unique extension to an interpretation for all the propositional formulas built ...
(That set might be empty, currently.) For example, the extension of a function is a set of ordered pairs that pair up the arguments and values of the function; in other words, the function's graph. The extension of an object in abstract algebra, such as a group, is the underlying set of the object. The extension of a set is the set itself.
meaning "If each is true, then is true". Logic programs compute the set of facts that are implied by their rules. Many implementations of Datalog, Prolog, and related languages add procedural features such as Prolog's cut operator or extra-logical features such as a foreign function interface. The formal semantics of such extensions are beyond ...