Resolution Principle

Definitions

Argument – A sequence of statements, and premises, that end with a conclusion.  Validity – A deductive argument is said to be valid if and only if it takes a form that makes it impossible for the premises to be true and the conclusion nevertheless to be false. Fallacy – An incorrect reasoning or mistake which leads to invalid arguments....

Table of Rule of inference

Rule of inference Description Modus Ponens (MP) If P implies Q, and P is true, then Q is true. Modus Tollens (MT) If P implies Q, and Q is false, then P is false. Hypothetical Syllogism (HS) If P implies Q and Q implies R, then P implies R. Disjunctive Syllogism (DS) If P or Q is true, and P is false, then Q is true. Addition (Add) If P is true, then P or Q is true.Simplification (Simp) If P and Q are true, then P is true Conjunction (Conj) If P is true and Q is true, then P and Q are true....

Rules of Inference

Simple arguments can be used as building blocks to construct more complicated valid arguments. Certain simple arguments that have been established as valid are very important in terms of their usage. These arguments are called Rules of Inference. The most commonly used Rules of Inference are tabulated below –...

Resolution Principle

To understand the Resolution principle, first we need to know certain definitions....

Rule of inference example

[Tex]C_{1} = p\vee q\vee r[/Tex][Tex]C_{2} = \neg p\vee \neg s \vee t[/Tex]...

Conclusion – Rules of inference

In logic, each rule of inference leads to a specific conclusion based on given premises. Modus Ponens establishes that if a statement P implies Q, and P is true, then Q must also be true. Conversely, Modus Tollens asserts that if P implies Q, and Q is false, then P must be false. Hypothetical Syllogism extends this reasoning by stating that if P implies Q and Q implies R, then P implies R. Disjunctive Syllogism states that if either P or Q is true, and P is false, then Q must be true. Addition indicates that if P is true, then P or Q is true. Simplification dictates that if both P and Q are true, then P must be true. Finally, Conjunction states that if both P and Q are true, then both P and Q are true. These rules collectively provide a framework for making logical deductions from given statements....

Rule of inference – FAQs

What are the rules of inference explain with examples?...