The meaning of PREDICATE CALCULUS is the branch of symbolic logic that uses symbols for quantifiers and for arguments and predicates of propositions as well as for unanalyzed propositions and logical connectives —called also functional calculus.
Predicate calculus is a formal language in which it is possible to express statements about simple domains. It comprises a set of symbols, and rules for combining these into terms and formulae. There are also rules of inference, which state how a new formula can be derived from old formula...
(Logic) the system of symbolic logic concerned not only with relations between propositions as wholes but also with the representation by symbols of individuals and predicates in propositions and with quantification over individuals. Also called:functional calculusSee alsopropositional calculus ...
R. Parikh has shown that in the predicate calculus without function symbols it is possible to decide whether or not a given formula A is provable in a Hilb... D Richardson - 《Journal of Symbolic Logic》 被引量: 22发表: 1974年
With considerations like these in mind,weshall define our formal statements as follows. First we shall specify theformal language, that is, the symbols from which strings can be formed. We shall always allow brackets - these will be needed to avoid ambiguity. We shall specify a set[math]\di...
The language of the predicate calculus is “concretized” for this purpose: predicate symbols and signs of operation expressing the specific relations and operations of a particular discipline are added to them. For example, if we wish to describe the true propositions of the arithmetic of ...
This paper presents a class of plausible definitions for validity of formulas in the infinitely-many-valued extension of the ukasiewicz predicate calculus, and shows that all of them are equivalent. This extended system is discussed in some form in [3] and [4]; the questions discussed here are...
First, we define a restricted semantics of timed systems which is observationally equivalent to the standard semantics in that it validates the same set of μ-calculus formulas without a next-step operator. Then, we recast the model checking problem S for a timed automaton S and a μ-...
List of symbols; Introduction; 1. Weakest preconditions; 2. Annotation, recursion and repetition; 3. Healthiness laws; 4. Semantics of recursion; 5. Ramifi... WH Hesselink - Cambridge University Press 被引量: 88发表: 1992年 A predicate calculus logic for the PKI trust model analysis We propo...
These symbols are used to represent quantifiers and logical connectives in statements about family relationships. Can Predicate Logic be used to solve real-world problems related to family relationships? Yes, Predicate Logic can be used to solve real-world problems related to family relationships, ...