This is a list of rules of inference, logical laws that relate to mathematical formulae. Rules of inference are syntactical transform rules which one...

function from sets of formulae to formulae counts as a rule of inference. Usually only rules that are recursive are important; i.e. rules such that there...

Inferences are steps in reasoning, moving from premises to logical consequences; etymologically, the word infer means to "carry forward". Inference is...

by subject List of rules of inference List of theorems List of theorems called fundamental List of unsolved problems in mathematics Table of mathematical...

not follow a rule of inference, are called formal fallacies. Rules of inference are definitory rules and contrast with strategic rules, which specify...

Type inference, sometimes called type reconstruction,: 320  refers to the automatic detection of the type of an expression in a formal language. These...

of formal logic, they are known as rules of inference. They are definitory rules, which determine whether an inference is correct or which inferences...

true, the conclusion could not be false. Valid arguments follow a rule of inference, such as modus ponens or modus tollens. Deductive reasoning plays...

abduction, abductive inference, or retroduction) is a form of logical inference that seeks the simplest and most likely conclusion from a set of observations...

generalizes that of an inference engine, by providing a richer set of mechanisms to work with. The inference rules are commonly specified by means of an ontology...

resolution. Both rules are based on the modus ponens inference rule. It is one of the two most commonly used methods of reasoning with inference rules and logical...

systems. List of knapsack problems List of network theory topics List of graphical methods List of mathematics-based methods List of rules of inference A mathematical...

Fiducial inference is one of a number of different types of statistical inference. These are rules, intended for general application, by which conclusions...

IT application, business rules can change more frequently than other parts of the application code. Rules engines or inference engines serve as pluggable...

Bayesian inference (/ˈbeɪziən/ BAY-zee-ən or /ˈbeɪʒən/ BAY-zhən) is a method of statistical inference in which Bayes' theorem is used to update the probability...

typical rule-based system has four basic components: A list of rules or rule base, which is a specific type of knowledge base. An inference engine or...

appeared in the proof. Existential fallacy Universal instantiation List of rules of inference Hurley, Patrick. A Concise Introduction to Logic. Wadsworth Pub...

of repugnance -- Witness (mathematics) -- Word sense -- Zhegalkin polynomial -- Philosophy portal List of logicians List of rules of inference List of...

syntax of HM is carried forward to the syntax of the inference rules that form the body of the formal system, by using the typings as judgments. Each of the...

abstract structure and formalization of an axiomatic system used for inferring theorems from axioms by a set of inference rules. In 1921, David Hilbert proposed...

List of rules of inference List of Russian anarchists List of Russian philosophers List of scholastic philosophers List of schools of philosophy List...

'abductive inference', but such so-called inferences are not at all inferences based on precisely formulated rules like the deductive rules of inference. Those...

Solomonoff's theory of inductive inference is a mathematical theory of induction introduced by Ray Solomonoff, based on probability theory and theoretical...

mathematical logic and automated theorem proving, resolution is a rule of inference leading to a refutation-complete theorem-proving technique for sentences...

deduction is a kind of proof calculus in which logical reasoning is expressed by inference rules closely related to the "natural" way of reasoning. This contrasts...

(or grammatical inference) is the process in machine learning of learning a formal grammar (usually as a collection of re-write rules or productions or...

related to the event. For example, in Bayesian inference, Bayes' theorem can be used to estimate the parameters of a probability distribution or statistical...

used to compute the probabilities of the presence of various diseases. Efficient algorithms can perform inference and learning in Bayesian networks....

logic and its rules of inference but extend it to new fields by introducing new logical symbols and the corresponding rules of inference governing these...

{X} \,Q(x))} A rule of inference is a rule justifying a logical step from hypothesis to conclusion. There are several rules of inference which utilize...