Lecture #3
... A well know mnemonic for this list is ”Please Excuse My Dear Aunt Sally” The order of operations for Boolean algebra is listed below: 1. Parenthesis 2. Not 3. And 4. Or What is a mnemonic for this list? ...
... A well know mnemonic for this list is ”Please Excuse My Dear Aunt Sally” The order of operations for Boolean algebra is listed below: 1. Parenthesis 2. Not 3. And 4. Or What is a mnemonic for this list? ...
Homework 5
... (3) Construct an example of a formula that is satisfiable in a denumerable universe but not in any finite one (exercise 3, page 50 of Smullyan). (4) Show that a first-order formula A is valid if and only if ∼A is satisfiable. Show that A is satisfiable if and only if ∼A is valid (exercise 4, page 50 ...
... (3) Construct an example of a formula that is satisfiable in a denumerable universe but not in any finite one (exercise 3, page 50 of Smullyan). (4) Show that a first-order formula A is valid if and only if ∼A is satisfiable. Show that A is satisfiable if and only if ∼A is valid (exercise 4, page 50 ...
Lecture Notes 2
... and deduce from ¬x two contradictory statements, say, y and ¬y. The the above tautology implies that x is true. Many mathematical theorems can be formally described by an implication x → y. Call this implication direct theorem. Then the proposition y → x is known as inverse theorem. Even if the dire ...
... and deduce from ¬x two contradictory statements, say, y and ¬y. The the above tautology implies that x is true. Many mathematical theorems can be formally described by an implication x → y. Call this implication direct theorem. Then the proposition y → x is known as inverse theorem. Even if the dire ...
Section 6.1 How Do We Reason? We make arguments, where an
... Quiz. How did you learn the modus ponens rule as a child? When a conclusion is made that does not follow from the premises the reasoning is called a non sequitur (it does not follow). Quiz. What is a non sequitur that you have observed? Some dictionary-type definitions of logic: • The study of the p ...
... Quiz. How did you learn the modus ponens rule as a child? When a conclusion is made that does not follow from the premises the reasoning is called a non sequitur (it does not follow). Quiz. What is a non sequitur that you have observed? Some dictionary-type definitions of logic: • The study of the p ...
Slides
... Definition (Proof-step Constraint): let A1…Ak be the Antecedents and p the Proposition of step. Then: Boolean encoding ...
... Definition (Proof-step Constraint): let A1…Ak be the Antecedents and p the Proposition of step. Then: Boolean encoding ...
