∀x∀y(Rxy→(x=y∧P x∧Qy))∧¬∃x(P x∧Qx) For the above proposition, describe (i) a model on which it is true (and explain why it is true on this model), and (ii) a model on which it is false (and explain why it is false on this model). Note: If there is no model of one of these types, explain why.

Q: - f(n) = log n²; g(n) = log n + 5 - f(n) = n; g(n) = log n? - f(n) = log log n; g(n) = log n f(n) =…

A: analysis for the above example is in step 2.

Q: Complete this formal proof of -Ex-P(x). As always: use all conventions from FOL, BOOL and PROP. •…

A: Answer: our instruction is answer the first three part from the first part and . I have given…

Q: Choose a real-life situation with at least three sets of Venn diagrams. Explain why a Venn diagram…

A: Introduction a practical illustration utilising a Venn diagram for at least three sets. A Venn…

Q: Choose a real-life situation with at least three sets of Venn diagrams. Explain why a Venn diagram…

A: Given: an actual-world illustration of a Venn diagram with at least three sets. For this instance, a…

Q: Modification for people to become susceptible again. You can also have a case where people become…

A: To modify the existing SIR model to an SIRS model, we introduce a new compartment v(t) for…

Q: Reduce the proposition ((s∨F)→w)∧(w→¬¬s) to s↔w using laws, including de Morgan's and conditional.…

A:

Q: 2. Using a truth table, show whether the following wffs are satisfiable. B. justification for your…

A: A compound proposition is said to be satisfiable if it is true for some of truth values to its…

Q: Use truth-tables to test whether each of the following two arguments are semantically valid, and if…

A: Given Data : (i) (P→Q), (Q→R) ⊨ (¬R→¬P) (ii) (P∧Q)∨(P∧R), (Q∧P)→R ⊨ (R∨P) <->Q

Q: the following proposition, describe (i) a model on which it is true, and (ii) a model on which it is…

A: Given For the following proposition, describe (i) a model on which it is true, and (ii) a model on…

Q: Use the Subset construction, as defined in the lecture notes, to construct DFA from the NFA produced…

A: We may use Thompson Construction to obtain a Finite Automaton from Regular Expression. We will…

Q: Given that P(x, y, z) is a propositional function such that the universe for x, y, z is {1,2}.…

A: Quantified statements in logic are used to express general claims about sets of objects or values.…

Q: Simplify m∨(¬s∧s) to m

A: Answer: Given expression is: m∨(¬s∧s) to m

Q: use truth-tables to test whether the following collections of sentences are mutually consistent, and…

A: Given : Propositions : P→Q, Q→¬P, P<->R, R∨¬Q

Q: 2. Using the method of full or partial truth tables, say whether the following sentences of L1 are…

A: Truth table value.

Q: Consider the function f (x) = 3x² + 8x log, x + 4. Show that f(x) is 0(x²) by determining a pair of…

A: we know F(x) is O(g) and x0 such that |F(x)|<=H g(x)  so as X>log2x  for x>1…

Q: Prove, or find a counterexample to, each of the following assertions: a. If α |= (β∧γ) then α |= β…

A: The question is asking you to prove or provide a counterexample for each of the given assertions.…

Q: Show that the implication [(P+ Q) ^ (R → S) ^ (P v R) → (Q V S) is a valid argument by showing that…

A:

Q: Let (?(?),?(?))??=1(x(i),y(i))i=1m be a set of training examples where ??∈ℝyi∈R and ??∈ℝ?xi∈Rn,…

A: 1. ?0+?1?1+?2?2+...+???? 2. ?0∗?0+?1∗?1+?2∗?2+...+??∗?? 3. ?0+?1(?1−?¯1)+...+??(??−?¯?) 4.…

Intelligent Machines

Machines that use artificial intelligence to learn from the environment and past experiences to perform better in the presence of variability and uncertainty are called intelligent machines. Intelligence develops according to environment and experience. It is human-like behavior. When the computer system or any programmed machine learns from the inputs and corresponding outputs, it can be called an intelligent machine.