Advanced Engineering Mathematics
10th Edition
ISBN: 9780470458365
Author: Erwin Kreyszig
Publisher: Wiley, John & Sons, Incorporated
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- Exercise 6| We introduce a language in which there are: - A constant me which represents the person who speaks, and a constant vegetables which represents the corresponding food; Two symbols of binary relations eat and likes: eat(p, a) represents the property "p eat a" and likes(p, a) the fact that "p likes a ". 1. Give the logical formulas that correspond to the following expressions: (a) I like everything I eat. (b) There are things that I do not like but that I eat anyway. (c) Those who do not like vegetables eat nothing. (d) If everyone agrees to eat something he does not like then I eat vegetables.arrow_forwardBoolean expression of the logical expression [(TV-F) ^ ¬(FA T)]v(¬TVF) is (1+0) + (0-1)) + (I + 0) o(1+0) (0-1)) + (I +0) (1 +0) (0-1)) + (1 + 0) None Click Save and Submit to save and submit. Click Save All Answers to save all answers. DELL F1Zarrow_forwardSimplify (q^(mv-q)) to ¬qv-m Distributive (аль) (алс) (avb)^(avc) Commutative avb аль De Morgan's (аль) (avb) Conditional a-b a+b ||| = ||| Laws a^(bvc) av(bлc) bva bлa -av-b -а^-b avb (a+b)^(b→a) Complement av¬a = T алпа E F ¬T EF -F ET F Identity алт 3 а avF E a Double negation ¬¬а = aarrow_forward
- a) Use the rules of inference and laws of logic to prove the validity of the following argument. Provide the steps and reasons. [(-rvq)^(-s)^(-r→s)]= qarrow_forwardКВ 3 (A v C) Л (Bv -С), а %3DА v B Prove using truth table KB a ?arrow_forwardExpand then reduce the proposition ¬(w→(¬m∧w)) to w∧m Please put laws in order, I attached a photo of what can be used. Thanks!arrow_forward
- Q2 truth tablearrow_forwardIf p= You can pass the Discrete Structures exam, q= you are regular in class and r = you are studying at home , then translate the following English sentence into a logical expression. "You can pass the Discrete Structures exam only if you are regular in class or you are studying at home." O (qV r) → p O (q ^ p) → r O (r ^p) → q O (q^ r) → p none of the choicesarrow_forward1 Truth table (10 points) Consider the compound statement X = (A^B) (AB). (10 points) Complete the truth table of X using the space provided. AB TT TF F T F F GM AAB A⇒B (A^B) (AB) (5 points) Is X a tautology, a contradiction, or neither? asioilog musarrow_forward
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