symbolic logic unit 5 truth tables for testing validity
play

SYMBOLIC LOGIC UNIT 5: TRUTH TABLES FOR TESTING VALIDITY - PowerPoint PPT Presentation

Dec 26, 2023 •187 likes •321 views

SYMBOLIC LOGIC UNIT 5: TRUTH TABLES FOR TESTING VALIDITY SYMBOLIC LOGIC UNIT 6: FURTHER APPLICATIONS OF THE TRUTH TABLE METHOD 4 Truth Table Skills: Testing whether an argument form is valid . (Equivalently: testing whether one or

  1. SYMBOLIC LOGIC UNIT 5: TRUTH TABLES FOR TESTING VALIDITY

  2. SYMBOLIC LOGIC UNIT 6: FURTHER APPLICATIONS OF THE TRUTH TABLE METHOD

  3. 4 Truth Table Skills: • Testing whether an argument form is valid . • (Equivalently: testing whether one or more statements logically imply another.) • Testing whether a statement form is a tautology , a contradiction , or a contingency . • Testing whether two statement forms are logically equivalent . • Testing whether two or more statement forms are consistent or inconsistent .

  5. p q r s t w T T T T T T T T T T T F T T T T F T T T T T F F T T T F T T T T T F T F T T T F F T T T T F F F T T F T T T T T F T T F T T F T F T T T F T F F T T F F T T T T F F T F T T F F F T T T F F F F T F T T T T T F T T T F T F T T F T T F T T F F T F T F T T T F T F T F T F T F F T T F T F F F T F F T T T T F F T T F T F F T F T T F F T F F T F F F T T T F F F T F T F F F F T T F F F F F F T T T T T F T T T T F F T T T F T F T T T F F F T T F T T F T T F T F F T T F F T F T T F F F F T F T T T F T F T T F F T F T F T F T F T F F F T F F T T F T F F T F F T F F F T F T F F F F F F T T T T F F T T T F F F T T F T F F T T F F F F T F T T F F T F T F F F T F F T F F T F F F F F F T T T F F F T T F F F F T F T F F F T F F F F F F T T F F F F T F F F F F F T F F F F F F

  6. p , p ⊃ q / ∴ q p q p p ⊃ q q T T T T T T F T F F F T F T T F F F T F

  7. 1b. p ⊃ q, ~p / ∴ ~q p q p ⊃ q ~p ~q T T T F F T F F

  8. 1c. p ∨ q, ~p ∨ ~q / ∴ ~p ≡ ~q p q p ∨ q ~p ∨ ~q ~p ≡ ~q T T T F F T F F

  9. p q r p ∨ q ~p ∨ ~q ~p ≡ ~q 1c. p ∨ q T T T ~p ∨ ~q T T F T F T ———— T F F / ∴ ~p ≡ ~q F T T F T F F F T F F F

  10. p q T T T F F T F F

  11. p q r T T T T T F T F T T F F F T T F T F F F T F F F

  12. p q r s T T T T T T T F T T F T T T F F T F T T T F T F T F F T T F F F F T T T F T T F F T F T F T F F F F T T F F T F F F F T F F F F

Recommend

SYMBOLIC LOGIC UNIT 3: COMPUTING TRUTH VALUES Truth Values The truth value of a

SYMBOLIC LOGIC UNIT 3: COMPUTING TRUTH VALUES Truth Values The truth value of a

SYMBOLIC LOGIC UNIT 3: COMPUTING TRUTH VALUES Truth Values The truth value of a formula/sentence is always (at least in this class) either true (T) or false (F). Notes: Truth values has nothing to do with how valuable a sentence is.

727 views • 47 slides
10/13/15 Nega%on Truth Table A A Propositional Logic and Truth Tables 0 1

10/13/15 Nega%on Truth Table A A Propositional Logic and Truth Tables 0 1

10/13/15 Nega%on Truth Table A A Propositional Logic and Truth Tables 0 1 (Rosen, Sections 1.1, 1.2, 1.3) 1 0 TOPICS Propositional Logic Logical Operations Logical Equivalences CS160 - Fall Semester 2015 Truth

230 views • 4 slides
CPSC 121: Models of Computation Use truth tables to establish or refute the validity of a rule

CPSC 121: Models of Computation Use truth tables to establish or refute the validity of a rule

Pre-Class Learning Goals By the start of this class you should be able to CPSC 121: Models of Computation Use truth tables to establish or refute the validity of a rule of inference. Given a rule of inference and propositional logic

513 views • 8 slides
Logic as a Tool Chapter 3: Understanding First-order Logic 3.4 Truth, validity, logical

Logic as a Tool Chapter 3: Understanding First-order Logic 3.4 Truth, validity, logical

Logic as a Tool Chapter 3: Understanding First-order Logic 3.4 Truth, validity, logical consequence and equivalence in first-order logic Valentin Goranko Stockholm University December 2020 Goranko Truth of sentences in structures Goranko

486 views • 30 slides
Logic as a Tool Chapter 3: Understanding First-order Logic 3.4 Truth, validity, logical

Logic as a Tool Chapter 3: Understanding First-order Logic 3.4 Truth, validity, logical

Logic as a Tool Chapter 3: Understanding First-order Logic 3.4 Truth, validity, logical consequence and equivalence in first-order logic Valentin Goranko Stockholm University December 2020 Goranko Truth of sentences in structures Goranko

2.18k views • 165 slides
lecture 3 Combinational logic 1 - truth tables - Boolean algebra - sum of products and

lecture 3 Combinational logic 1 - truth tables - Boolean algebra - sum of products and

lecture 3 Combinational logic 1 - truth tables - Boolean algebra - sum of products and product-of-sums - logic gates January 18, 2016 Quiz 1 Class should start after ~15 min. Truth Tables There are 2^4 = 16 possible boolean functions.

313 views • 27 slides
Logic? Propositional Logic, Truth Tables (Rosen, Sections 1.1, 1.2, 1.3) TOPICS

Logic? Propositional Logic, Truth Tables (Rosen, Sections 1.1, 1.2, 1.3) TOPICS

Logic? Propositional Logic, Truth Tables (Rosen, Sections 1.1, 1.2, 1.3) TOPICS Propositional Logic Logical Operations Equivalences CS 160, Summer Semester 2016 2 Why logic? To reason about programs, What is logic? e.g. Are

424 views • 9 slides
lecture 3 Combinational logic 1 Quiz 1 - truth tables - Boolean algebra Class should start

lecture 3 Combinational logic 1 Quiz 1 - truth tables - Boolean algebra Class should start

lecture 3 Combinational logic 1 Quiz 1 - truth tables - Boolean algebra Class should start after ~15 min. - sum of products and product-of-sums - logic gates January 18, 2016 Truth Tables There are 2^4 = 16 possible boolean functions.

805 views • 3 slides
Recall multiplexor (selector) lecture 4 Last lecture: truth tables, logic gates &

Recall multiplexor (selector) lecture 4 Last lecture: truth tables, logic gates &

Recall multiplexor (selector) lecture 4 Last lecture: truth tables, logic gates & circuits Combinational logic 2 - ROM - arithmetic circuits if S Y = B - arithmetic logic unit (ALU) else Y = A January 20, 2016 We will

477 views • 4 slides
The Logic of can try to prove valid Propositions formulas symbolically using axioms and

The Logic of can try to prove valid Propositions formulas symbolically using axioms and

Mathematics for Computer Science Proving Validity 6.042J/18.062J Instead of truth tables, The Logic of can try to prove valid Propositions formulas symbolically using axioms and deduction rules propositional logic.1 propositional logic.2

394 views • 7 slides
lecture 4 Combinational logic 2 - ROM - arithmetic circuits - arithmetic logic unit (ALU)

lecture 4 Combinational logic 2 - ROM - arithmetic circuits - arithmetic logic unit (ALU)

lecture 4 Combinational logic 2 - ROM - arithmetic circuits - arithmetic logic unit (ALU) January 20, 2016 Last lecture: truth tables, logic gates & circuits Recall multiplexor (selector) if S Y = B else Y = A We will

356 views • 31 slides
Mathematical Logic - 2015 Propositional Logic: exercises Fausto Giunchiglia and Mattia Fumagalli

Mathematical Logic - 2015 Propositional Logic: exercises Fausto Giunchiglia and Mattia Fumagalli

Mathematical Logic - 2015 Propositional Logic: exercises Fausto Giunchiglia and Mattia Fumagalli (ref. Chiara Ghidini slides PL Formalization and Enzo Maltese sleides PL Exercises) Truth Tables Example (2) Use the truth tables method

277 views • 12 slides
Informatics 1 Computation and Logic Sets of States: Venn Diagrams and Truth Tables Michael

Informatics 1 Computation and Logic Sets of States: Venn Diagrams and Truth Tables Michael

Informatics 1 Computation and Logic Sets of States: Venn Diagrams and Truth Tables Michael Fourman @mp4man 1 This course provides a first glimpse of the deep connections between computation and logic. We will focus primarily on the simplest

347 views • 21 slides
SYMBOLIC LOGIC UNIT 1: INTRODUCTION TO LOGIC What is an argument? An argument is the public,

SYMBOLIC LOGIC UNIT 1: INTRODUCTION TO LOGIC What is an argument? An argument is the public,

SYMBOLIC LOGIC UNIT 1: INTRODUCTION TO LOGIC What is an argument? An argument is the public, linguistic expression of reasoning. An argument is (or could be rephrased as) a set of sentences consisting of one or more premises , which contain

670 views • 35 slides
Truth Tellers, Liars, and Propositional Logic Reading: EC 1.3 Peter J. Haas INFO 150 Fall

Truth Tellers, Liars, and Propositional Logic Reading: EC 1.3 Peter J. Haas INFO 150 Fall

Truth Tellers, Liars, and Propositional Logic Reading: EC 1.3 Peter J. Haas INFO 150 Fall Semester 2019 Lecture 2 1/ 16 Truth Tellers, Liars, and Propositional Logic Smullyans Island Propositional Logic Truth Tables for Formal

344 views • 18 slides
Logical Structures in Natural Language: Propositional Logic II (Truth Tables and Reasoning

Logical Structures in Natural Language: Propositional Logic II (Truth Tables and Reasoning

Logical Structures in Natural Language: Propositional Logic II (Truth Tables and Reasoning Raffaella Bernardi Universit` a degli Studi di Trento e-mail: bernardi@disi.unitn.it Contents First Last Prev Next Contents 1 What we have

665 views • 23 slides
Revision on propositional logic: Propositions. Logical Connectives. Truth values and truth

Revision on propositional logic: Propositions. Logical Connectives. Truth values and truth

Revision on propositional logic: Propositions. Logical Connectives. Truth values and truth tables. Propositional formulae. Tautologies. Logical equivalence. Logical consequence. Logical correctness of propositional arguments. Valentin Goranko

600 views • 20 slides
Truth value judgments vs. validity judgments Elizabeth Coppock SCAS, Uppsala University &

Truth value judgments vs. validity judgments Elizabeth Coppock SCAS, Uppsala University &

Introduction Theories Truth value judgments Validity judgments References Truth value judgments vs. validity judgments Elizabeth Coppock SCAS, Uppsala University & University of Gothenburg Texas Linguistics Society 2014 1/56

1.1k views • 72 slides
Tautological Necessity and Tautological Validity With Quantifjers Mark Criley IWU 25 October

Tautological Necessity and Tautological Validity With Quantifjers Mark Criley IWU 25 October

Truth Table Necessity We will call the method we use to uncover this form: Boxing, Tagging, and Replacing Truth Table Validity of Arguments What we have to do is fjnd a way of feigning ignorance . We need to make sure that we ignore everything

206 views • 9 slides
Another example of truth table Logic function: 3 inputs : A, B, C 3 outputs : D, E, F

Another example of truth table Logic function: 3 inputs : A, B, C 3 outputs : D, E, F

Another example of truth table Logic function: 3 inputs : A, B, C 3 outputs : D, E, F D = T if at least 1 input is T E = T if 2 inputs are T F = T if 3 inputs are T Truth tables Completely describe any function

116 views • 10 slides
Informatics 1 connections between Computation and Logic computation and logic. We Sets of

Informatics 1 connections between Computation and Logic computation and logic. We Sets of

This course provides a first glimpse of the deep Informatics 1 connections between Computation and Logic computation and logic. We Sets of States: Venn Diagrams and Truth Tables will focus primarily on the Michael Fourman @mp4man simplest

322 views • 11 slides
Concolic Testing Dynamic Symbolic Execution Marco Probst Albert-Ludwigs-Universitt Freiburg

Concolic Testing Dynamic Symbolic Execution Marco Probst Albert-Ludwigs-Universitt Freiburg

Concolic Testing Dynamic Symbolic Execution Marco Probst Albert-Ludwigs-Universitt Freiburg January 25th, 2016 Marco Probst Concolic Testing 1 / 22 Overview Code Example 1 Unit Testing 2 Random Testing Symbolic Execution Concolic

919 views • 89 slides
logic is everywhere Truth Tables la l ogica est a por todas partes Semantic Trees

logic is everywhere Truth Tables la l ogica est a por todas partes Semantic Trees

Hikmat har Jaga Hai Systematic Search logika je svuda Steffen H olldobler Mantk her yerde International Center for Computational Logic logika je v sude Technische

1.51k views • 94 slides
SYMBOLIC LOGIC UNIT 7: THE PROOF METHOD: 8 BASIC INFERENCE RULES Constants vs. Variables A

SYMBOLIC LOGIC UNIT 7: THE PROOF METHOD: 8 BASIC INFERENCE RULES Constants vs. Variables A

SYMBOLIC LOGIC UNIT 7: THE PROOF METHOD: 8 BASIC INFERENCE RULES Constants vs. Variables A B p q Constants are Variables are abbreviations of placeholders for any specific sentences with formula whatever, determinate meanings.

611 views • 37 slides

More recommend