Convert the following set of propositional clauses to CNF
and prove by resolution with refutation "Rain".
Convert the following set of propositional clauses to CNF (Sunny ⇒ Warm) ⇒ Warm (Sunny ⇒...
CNF Q5: (Logic) a. Assume that a knowledge base (KB) consists of the following sentence: We need to prove by resolution that the following query sentence (a) is entailed by KB: 1. What is the sentence (in CNF) we need to prove its unsatisfiability (proof by contradiction) 2. Show that this entailment can be proved by applying resolution only between two clauses of this sentence
Are the following arguments valid or not? Use resolution or resolution refutation to find out. Proceed in four steps: • Extract the propositions from the argument and name them with single letters. • Describe the hypotheses and the conclusion in propositional calculus. • Convert these expressionsinto conjunctive normal form (CNF)suitable for resolution or resolution refutation (whichever method you decide to use). • List the steps of the resolution (refutation) and state the result, that is, whether the argument is valid...
Problem 2 (18 pts) The lady or the tiger? There are two rooms. Each of them is occupied by either a tiger or a lady, but not both. There is also a sign on the door of each room. For Room I, if a lady is it, then the sign on the door is true, but if a tiger is in it, the sign is false. In Room II, the situation is the opposite: a lady in the room means...
Convert the following grammar into Chomsky Normal Form (CNF): S → aS | A | bS A → aA | bBa | aAa B → bb | bBb Note: you need to first simplify the grammar ( remove any λ - productions, unit productions, and useless productions), and then convert the simplified grammar to CNF. Convert the following grammar into Chomsky Normal Form (CNF): SaSAS A → AbBa| aAa B+bb | bBb Note: you need to first simplify the grammar...
Convert following sentences into Conjunctive Normal Form (CNF) D-> (A <-> (B v C) )
7. (10 pts) STINGY SAT is the following problem: given a set of clauses (each a disjunction of literals) and an integer k, find a satisfying assignment in which at most k variables are true, if such an assignment exists. Prove that STINGY SAT is NP-complete. 7. (10 pts) STINGY SAT is the following problem: given a set of clauses (each a disjunction of literals) and an integer k, find a satisfying assignment in which at most k variables are...
Convert the following sentences to Conjunctive Normal Form (CNF). 3.1. ¬((¬P ↔ R) → ((Q ∧ R) ∨ P)) 3.2. ¬((P ∨ Q) → ((P ∨ Q ∨ ¬R) ∧ (R ∨ P ∨ Q)))
2. Convert the following grammar to Chomsky Normal Form (CNF). R is the start symbol and the lower case letters are terminals. The upper case letters are variables/non-terminals. R->XRXS S->a TbbTa T->XTXI X. € X->ab
2. Eac sunny the following day and a 50% chance it will be cloudy. If it is cloudy one day, there is an equal chance of 1-100% that it will be sunny, cloudy, or rainy the following day. If it is rainy one day, there is a 50% chance that it will be cloudy the following day and a 50% chance of rain h day is sunny, cloudy, or rainy. If it is sunny one day, there is a 50%...
Create a CFG for the following expressions: 6. a) ab(a+b)*ba (10) b) a*ba* (10) c) Convert the previous CFGs into Chomsky's normal form, CNF (20) d) Draw the syntax tree for one word from each of the previous CFGs. (10) Create a CFG for the following expressions: 6. a) ab(a+b)*ba (10) b) a*ba* (10) c) Convert the previous CFGs into Chomsky's normal form, CNF (20) d) Draw the syntax tree for one word from each of the previous CFGs. (10)