Examples of 'first-order logic' in a sentence
Meaning of "first-order logic"
First-order logic is a formal system used in mathematical logic to represent propositions and reasoning with quantifiers, variables, and predicates
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- A formal deductive system extended from propositional logic with the possibility to quantify over individuals of the domain of discourse.
How to use "first-order logic" in a sentence
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first-order logic
First-order logic is an example of a formal language.
There are many variations of first-order logic.
First-order logic is a particular formal system of logic.
This is the defining aspect of first-order logic.
Propositional logic first-order logic datalog logic programming.
Additional quantifiers can be added to first-order logic.
It follows first-order logic is not enough to describe the world formula.
The validity problem for first-order logic.
In first-order logic the empty domain is the empty set having no members.
Ackermann set theory is formulated in first-order logic.
Standard first-order logic has difficulties in representing some sentences with plurals.
There are two key parts of first-order logic.
Decidable subsets of first-order logic are also studied in the framework of description logics.
The propositions are expressed in a version of first-order logic.
Algebraic formalisms going beyond first-order logic in at least some respects include,.
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Not all logical validities are tautologies in first-order logic.
First-order logic requires at least one additional rule of inference in order to obtain completeness.
The investigations are centered around first-order logic.
Ordinary or first-order logic has two types of terms, respectively assertions and data.
This convention is known as first-order logic without equality.
Logic with this limitation on quantification is referred to as first-order logic.
In general, the question whether sentences in first-order logic are satisfiable is not decidable.
The original definition of circumscription proposed by McCarthy is about first-order logic.
An alternate approach to the semantics of first-order logic proceeds via abstract algebra.
Alloy provides a simple structural modeling tool based on first-order logic.
The completeness therem for classical first-order logic is more complicated to prove.
There are no literal variables or quantifiers in the sense of first-order logic.
Second-order logic extends first-order logic by adding the latter type of quantification.
We reformulate these problems as a deduction problem in a first-order logic fragment.
A formula in first-order logic with no free variable occurrences is called a first-order sentence.
It essentially allows a certain kind of reduction of first-order logic to propositional logic.
The restriction to first-order logic means that only variables can be quantified over.
These relations are the predicates for the first-order logic system.
First-order logic has sufficient expressive power for the formalization of virtually all of mathematics.
The first being guarded fragment which are first-order logic of modal logic.
Thus the proof theory of first-order logic becomes more complicated when empty structures are permitted.
Early results from formal logic established limitations of first-order logic.
These results concern general properties of first-order logic itself, rather than properties of individual theories.
Early results about formal logic established limitations of first-order logic.
First-order logic List of logic symbols - for the unicode symbol ∃ Quantifier variance Quantifiers Uniqueness quantification.
There are a few other reasons to restrict study of first-order logic to normal models.
First-order logic with equality.
In mathematical logic, the deduction theorem is a metatheorem of propositional and first-order logic.
Several ontology languages support expressions in first-order logic and allow general predicates.
The syntax of formulas of intuitionistic logic is similar to propositional logic or first-order logic.
While propositional logic deals with simple declarative propositions, first-order logic additionally covers predicates and quantification.
A key use of formulas is in propositional logic and predicate logic such as first-order logic.
Its main tool is first-order logic.
The fluent calculus is a formalism for expressing dynamical domains in first-order logic.
Structures and first-order logic.
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Examples of using First-order
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Therefore first-order kinetics apply unimolecular
There are many variations of first-order logic
Each first-order language is defined by a signature
Examples of using Logic
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His cynical logic betrays a sick mind
Logic offers a serenity humans seldom experience
There is a certain logic behind such ideas
