Predicate Calculus - National Taiwan University
... Universal quantification (∀) corresponds to finite or infinite conjunction of the application of the predicate to all elements of the domain. Existential quantification (∃) corresponds to finite or infinite disjunction of the application of the predicate to all elements of the domain. Relationship b ...
... Universal quantification (∀) corresponds to finite or infinite conjunction of the application of the predicate to all elements of the domain. Existential quantification (∃) corresponds to finite or infinite disjunction of the application of the predicate to all elements of the domain. Relationship b ...
Logic and Proof
... • Use the templates for reasoning and the equivalences to transform formulas from your start formulas till you get what you want to prove. Logical steps. • Skill in knowing the templates and equivalences. • Skill in strategy (what templates and equivalences to use when). • Symbolic computing. Same i ...
... • Use the templates for reasoning and the equivalences to transform formulas from your start formulas till you get what you want to prove. Logical steps. • Skill in knowing the templates and equivalences. • Skill in strategy (what templates and equivalences to use when). • Symbolic computing. Same i ...
Discrete Mathematics - Lecture 4: Propositional Logic and Predicate
... Lecture 4: Propositional Logic and Predicate Logic ...
... Lecture 4: Propositional Logic and Predicate Logic ...
How to Prove Properties by Induction on Formulas
... A few comments may be helpful. First, the propositional logic meaning of implies is crucial for making this proof work in case (ii) for each of the connectives. As soon as the hypothesis is false, the truth of the implication “comes for free.” Second, in the induction, I’ve tried to make it clear wh ...
... A few comments may be helpful. First, the propositional logic meaning of implies is crucial for making this proof work in case (ii) for each of the connectives. As soon as the hypothesis is false, the truth of the implication “comes for free.” Second, in the induction, I’ve tried to make it clear wh ...
Formalizing Basic First Order Model Theory
... One of the main theorems relates substitution and holding in an interpretation. The proof is quite straightforward, though involves a slightly messy case analysis. Its intuitive plausibility is good evidence that our definition of substitution is satisfactory, and, indeed, its later usefulness means ...
... One of the main theorems relates substitution and holding in an interpretation. The proof is quite straightforward, though involves a slightly messy case analysis. Its intuitive plausibility is good evidence that our definition of substitution is satisfactory, and, indeed, its later usefulness means ...
Introduction to Logic What is Logic? Simple Statements Which one is
... exclusively upon the truth values of its variables. The truth value of a proposition is known once the truth values of its variables are known. (See E.g. 30 - 32) ...
... exclusively upon the truth values of its variables. The truth value of a proposition is known once the truth values of its variables are known. (See E.g. 30 - 32) ...