# Inference Rules

### Some articles on inference rules, rules, inference rule, rule:

Categorial Grammar
... which assigns a set of types (also called categories) to each basic symbol, and some type inference rules, which determine how the type of a string of symbols follows from the types of the constituent symbols ... It has the advantage that the type inference rules can be fixed once and for all, so that the specification of a particular language grammar is entirely determined by the lexicon ... appropriate arguments and reduce them according to the two inference rules and Categorial grammars of this form (having only function application rules) are equivalent in generative ...
Natural Deduction - Introduction and Elimination
... Inference rules that introduce a logical connective in the conclusion are known as introduction rules ... As an inference rule It must be understood that in such rules the objects are propositions ... That is, the above rule is really an abbreviation for In this form, the first premise can be satisfied by the formation rule, giving the first two premises of the previous form ...
Metamath - A Generic Proof Checker
... Metamath has no specific logic embedded and can simply be regarded as a device to apply inference rules to formulas ... of Metamath the language of Metamath, employed to state the definitions, axioms, inference rules and theorems is only composed of a handful of keywords, and all the proofs are checked using one simple ... is (namely a tree of formulas connected by inference rules) and no specific logic is embedded in the software, Metamath can be used with species of logic as different as Hilbert-style logics or sequents-based ...

### Famous quotes containing the words rules and/or inference:

Let’s start with the three fundamental Rules of Robotics.... We have: one, a robot may not injure a human being, or, through inaction, allow a human being to come to harm. Two, a robot must obey the orders given it by human beings except where such orders would conflict with the First Law. And three, a robot must protect its own existence as long as such protection does not conflict with the First or Second Laws.
Isaac Asimov (1920–1992)

I shouldn’t want you to be surprised, or to draw any particular inference from my making speeches, or not making speeches, out there. I don’t recall any candidate for President that ever injured himself very much by not talking.
Calvin Coolidge (1872–1933)