please complete each section 4. Use truth tables to establish each of the following logical equivalencies...
Please upload a picture of your work. For problems 1-3 complete the truth table for the following statements and determine if they are logically equivalent. For 4-6 use a truth table to determine if the argument is valid. 1.-(PAQ) and Pv-Q 2. P-Q and QP 3.P-Q and -PVQ 4.P-Q 5. ( PQ) - Q P 6. PvQ QR PVR FB I U
please answer the 3 parts Match the binary logical operators to their tuth tables Table A Table B Table C Table D Choose ] Choose ] Choose ] Choose ] p→q q→p -p→q Match the binary logical operators to their truth tables. Table B Table C Table D Table A Choose ] Choose ] Choose ] Choose ] pAq Match the binary logical operators to their truth tables Table C Table D Table ATable B pvq IChoose l pv-q IChoose...
4. Use truth tables to determine whether the following two statements are logically equivalent. (P+Q)^(~Q) and ~ (PVQ)
5.) Logic problems. List the truth values of the two statements of problems (a) and the truth value of the statement of problem (b) in terms of the truth values of P and Q. a.) Determine if the following pairs of logical statements are equivalent. Show why they are or are not equivalent. i. (( P) ^ Q) ) P; ii. (P _ ( Q)): b.) Determine if the following statement is a tautology. Show why it is or is...
Problem 12.1: Let p and be logical statements. By using a truth table determine if the following compound statements are logically equivalent. Show work! Circle one: A: The statements are equivalent. B: The statements are not equivalent. Problem 12.2: Let P, Q, and be be logical statements. By using a truth table determine if the following compound statements are logically equivalent. Show work! Circle one: A: The statements are equivalent. B: The statements are not equivalent.
(40 pts) Consider the transitivity of the biconditional: ((P HQ ) ^ ( Q R )) → ( P R ). a. Show that this argument is valid by deriving a tautology from it, a la section 2.1. You may use logical equivalences (p. 35), the definition of biconditional, and the transitivity of conditional: (( P Q) ^ (Q→ R)) → (P + R). Show that this argument is valid using a truth table. Please circle the critical lines. C....
Using ONLY logical equivalences (not truth tables!), prove for the following that one element of the pair is logically equivalent to the other one using logical equivalences (ex. De Morgan's laws, Absorption laws, Negation laws etc.) a) ~d -> (a && b && c) = ~(~a && ~d) && ((d || b) & (c || d)) b) (a->b) && (c->d) = (c NOR a) || (b && ~c) || (d && ~a) || (b && d) c) (~a && ~b)...
please in java or python truth tables for the following...please #1 p -> q q -> r therefor: p -> r #2 p -> (q or r) q and ~r Therefore: p #3 p or q (p and q) -> r q and ~r Therefor: ~p
16 pts) #4. TRUE/FALSE. Determine the truth value of each sentence (no explanation required). ________(a) A statement is a sentence that is true. ________(b) In logic, p q refers to the "inclusive or, " true when either p or q or both are true. ________(c) The phrase "not p and not q" means "not both p and q." ________(d) The conditional statement p q is true if p is false. ________(e) The negation of p q is p ~q. #5....
Use propositional logic to prove that the following arguments are valid. Do not use truth tables. 1. ( A C)^(C --B) AB: A 2. (P→ (QAR)) AP: (PA) 3. Z. (ZAZ) 4. A: (AV B)^(AVC) 5. (I → H) A (FV-H) AI: F