• Study Resource
  • Explore
    • Arts & Humanities
    • Business
    • Engineering & Technology
    • Foreign Language
    • History
    • Math
    • Science
    • Social Science

    Top subcategories

    • Advanced Math
    • Algebra
    • Basic Math
    • Calculus
    • Geometry
    • Linear Algebra
    • Pre-Algebra
    • Pre-Calculus
    • Statistics And Probability
    • Trigonometry
    • other →

    Top subcategories

    • Astronomy
    • Astrophysics
    • Biology
    • Chemistry
    • Earth Science
    • Environmental Science
    • Health Science
    • Physics
    • other →

    Top subcategories

    • Anthropology
    • Law
    • Political Science
    • Psychology
    • Sociology
    • other →

    Top subcategories

    • Accounting
    • Economics
    • Finance
    • Management
    • other →

    Top subcategories

    • Aerospace Engineering
    • Bioengineering
    • Chemical Engineering
    • Civil Engineering
    • Computer Science
    • Electrical Engineering
    • Industrial Engineering
    • Mechanical Engineering
    • Web Design
    • other →

    Top subcategories

    • Architecture
    • Communications
    • English
    • Gender Studies
    • Music
    • Performing Arts
    • Philosophy
    • Religious Studies
    • Writing
    • other →

    Top subcategories

    • Ancient History
    • European History
    • US History
    • World History
    • other →

    Top subcategories

    • Croatian
    • Czech
    • Finnish
    • Greek
    • Hindi
    • Japanese
    • Korean
    • Persian
    • Swedish
    • Turkish
    • other →
 
Profile Documents Logout
Upload
Exam 2 study guide
Exam 2 study guide

Natural Deduction Calculus for Quantified Propositional Linear
Natural Deduction Calculus for Quantified Propositional Linear

Logic Logical Concepts Deduction Concepts Resolution
Logic Logical Concepts Deduction Concepts Resolution

Logic as a Tool 3mm Chapter 2: Deductive Reasoning in
Logic as a Tool 3mm Chapter 2: Deductive Reasoning in

... Alternatively, after finitely many applications of the Propositional Resolution rule, no new applications of the rule remain possible. If the empty clause is not derived by then, it cannot be derived at all, and hence the A1 , . . . , An and ¬B can be satisfied together, so the logical consequence A ...
INTLOGS16 Test 2
INTLOGS16 Test 2

PDF
PDF

... variant form of a deductive system. Like a deductive system, a Gentzen system has axioms and inference rules. But, unlike a deductive system, the basic building blocks in a Gentzen system are expressions called sequents, not formulas. More precisely, given a language L of well-formed formulas, a ded ...
Propositional Logic - faculty.cs.tamu.edu
Propositional Logic - faculty.cs.tamu.edu

... not interesting, since we would like everything to be consistent with the meaning of the connectives that we have just learned. For example, if the propositions a and b have been assigned the value t, then it is reasonable to insist that a ∧ b be assigned the value t as well. Therefore, we will intr ...
L11
L11

... because of the definition of . ● Since P  Q  R is false for 14 entries out of 16, we are left only with two entries to be tested for which  is true. ...
MathsReview
MathsReview

Lecture 3.1
Lecture 3.1

Lecture 3.1
Lecture 3.1

Lecture 3
Lecture 3

Logic - Decision Procedures
Logic - Decision Procedures

Discrete Structure
Discrete Structure

... i.e., If p is true, then q is true; but if p is not true, then q could be either true or false. E.g., let p = “You study hard.” q = “You will get a good grade.” p  q = “If you study hard, then you will get a good grade.” (else, it could go either way) ...
Logic and Proof - Collaboratory for Advanced Computing and
Logic and Proof - Collaboratory for Advanced Computing and

... Methods of Proving Theorems Proving implications p → q: Direct proof: Assume p is T, and use rules of inference to prove that q is T Indirect proof: Prove its contrapositive; assume ¬q, and prove ¬p Proof by cases: Prove (p1 ∨ p2) → q by proving (p1 → q) and (p1 → q) • Based on [(p1 ∨ p2) → q ...
The Foundations: Logic and Proofs - UTH e
The Foundations: Logic and Proofs - UTH e

... Two compound propositions p and q are logically equivalent if p↔q is a tautology. We write this as p⇔q or as p≡q where p and q are compound propositions. Two compound propositions p and q are equivalent if and only if the columns in a truth table giving their truth values agree. This truth table sho ...
First order theories
First order theories

... But there exists first order theories defined by axioms which are not sufficient for proving all T-valid formulas. ...
slides - Computer and Information Science
slides - Computer and Information Science

First order theories - Decision Procedures
First order theories - Decision Procedures

lec26-first-order
lec26-first-order

slides - Department of Computer Science
slides - Department of Computer Science

... conservative extension of TC 1. TC is universal theory 2. Make sure all terms in language describe functions from C; 3. We can assume We add function symbols (with defining axioms) in C. And the C-closure of all functions is C itself. ...
Propositional Logic
Propositional Logic

study guide.
study guide.

... • There are two main normal forms for the propositional formulas. One is called Conjunctive normal form (CNF) and is an ∧ of ∨ of either variables or their negations (here, by ∧ and ∨ we mean several formulas with ∧ between each pair, as in (¬x ∨ y ∨ z) ∧ (¬u ∨ y) ∧ x. A literal is a variable or its ...
2SAT - TAMU Computer Science Faculty Pages
2SAT - TAMU Computer Science Faculty Pages

Logic  I Fall  2009 Problem  Set  5
Logic I Fall 2009 Problem Set 5

... Logic I Fall 2009 Problem Set 5 In class I talked about SL being truth-functionally complete (TF-complete). For the problems below, use TLB’s definition of TF-completeness, according to which it is sets of connectives that are (or aren’t) TF-complete: Definition: A set of connectives is TF-complete if ...
< 1 ... 29 30 31 32 33 34 35 36 >

Propositional formula

In propositional logic, a propositional formula is a type of syntactic formula which is well formed and has a truth value. If the values of all variables in a propositional formula are given, it determines a unique truth value. A propositional formula may also be called a propositional expression, a sentence, or a sentential formula.A propositional formula is constructed from simple propositions, such as ""five is greater than three"" or propositional variables such as P and Q, using connectives such as NOT, AND, OR, and IMPLIES; for example:(P AND NOT Q) IMPLIES (P OR Q).In mathematics, a propositional formula is often more briefly referred to as a ""proposition"", but, more precisely, a propositional formula is not a proposition but a formal expression that denotes a proposition, a formal object under discussion, just like an expression such as ""x + y"" is not a value, but denotes a value. In some contexts, maintaining the distinction may be of importance.
  • studyres.com © 2025
  • DMCA
  • Privacy
  • Terms
  • Report