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Conditional Statements, Biconditionals, and Deductive Reasoning Part 2 Conditional Statements Conditional Statements A conditional is an If then statement p q ...
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Occurs when a conditional AND its converse are both true. ... The converse is also true. Converse concerning polygons : If it has exactly three sides, then it ...
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Jeopardy Deductive Reasoning Biconditionals And Definitions Conditional Statements Trivia Proving Angles Congruent Algebraic Reasoning 100 100 100 100 100 100
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(defun tautological-disjunction (P) ... (remove-if #'tautological-disjunction P)) (defun CNF (P &optional indent) (remove-duplicates ...
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Conditional Statements Section 2-2 Objective Students will be able to recognize conditional statements and their parts to write converses, inverses, and ...
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If an angle is 140 , then it is obtuse. If you wear Nike shoes, you'll run faster. ... 140, then it is obtuse. Conditional: Converse: Inverse: Contrapositive: ...
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This is it's Converse: If two angles are congruent, then the angles have the same measure. ... A shape is a pentagon if and only if it has 5 sides. ...
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Identifying Well-Formed Formulae ('WFFs') Semantics (pertaining ... 5 If Chanel has a rosewood fragrance then so does Lanvin. C L. 6 Chanel has a rosewood ...
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p: You can ride the roller coaster. q:You are under 4 feet tall ... One way to determine if two propositions are logically equivalent is to use truth table. ...
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Then, for some k, n=2k 1. Hence n2=(2k 1)(2k 1) ... Soundness and completeness. 8.3.a. FT --- the portion of F that contains the rules for ...
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Inference in first-order logic Chapter 9 Outline Reducing first-order inference to propositional inference Unification Generalized Modus Ponens Forward chaining ...
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Chapter Two Symbolizing in Sentential Logic This chapter is a preliminary to the project of building a model of validity for sentential arguments.
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Inference in first-order logic Chapter 9 Outline Reducing first-order inference to propositional inference Unification Generalized Modus Ponens Forward chaining ...
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... Everyone who loves all animals is loved by someone Anyone who kills animals is loved by no-one Jack ... often useful) Inductive Reasoning (Induction) Reason ...
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create a propositional KB by instantiating with depth-$n$ terms. see if a is entailed by this KB ... p1', p2', ... , pn', ( p1 p2 ... pn q) q?. p1' is King(John) ...
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King(Richard) Greedy(Richard) Evil(Richard) ... If P is known to be True in the KB, return true. Find clause with P on the RHS ...
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Lecture 05 Part A First Order Logic (FOL) Dr. Shazzad Hosain Department of EECS North South Universtiy shazzad@northsouth.edu To get A1, A2. a) skolemize first ...
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The Resolution Refutation Proof Technique for First-Order Logic. Fall ... The other textbooks I considered are: David Poole, Alan Mackworth, and Randy Goebel. ...
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Sentential Logic. Symbolization and Syntax. Review and Examples. Key. A: Anna will pass the course. ... D: Anna is always late for class. E: Bob studies hard. F: ...
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... the conclusion. other examples Does God exist? P1) If there is unnecessary evil in the world, then God does not exist. P2) There is unnecessary evil in the world.
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UNIVERSITY OF SOUTH CAROLINA. Department of Computer Science and ... The rete algorithm builds a dataflow network to allow for reuse of matchings; it ...
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Inference in first-order logic. Chapter 9. Outline. Reducing first-order inference to ... Theorem: Turing (1936), Church (1936) Entailment for FOL is ...
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Inference in first-order logic. Chapter 9. Outline ... Knows(John,x) Knows(John,Jane) Knows(John,x) Knows(y,OJ) Knows(John,x) Knows(y,Mother(y) ...
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Day 10 Today s Agenda Inductive reasoning Counterexamples Conditional Statements Inverse Converse Contrapositive Truth Tables Conjunctions Disjunctions ...
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A compound statement contains another statement as a proper part. ... If the moon is made of apple pie, then Rush Limbaugh talks on the radio. ...
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horse(blackbeard). horse(black_velvet). horse(Y) :- horse(X),offspring(X,Y). offspring(blackbeard,bluebeard). offspring(bluebeard,bluefish). Query (ask): ?- horse(A) ...
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... for example, only the presence or absence of an all T row is ... Construct a truth value assignment in which all sentences are true, if there is one and ...
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King(Father(John)) Greedy(Father(John)) Evil(Father(John)) CS666 AI P. T. Chung Inference ... ? such that King(x) and Greedy(x) match King(John) and Greedy(y) ...
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Arithmetic in Prolog. Basic arithmetic operators are provided for by built-in procedures: ... xv) Representable by a set of clauses (disjunctions of literals) ...
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The only thing that matters is the fact that a proposition is True' or False' ... New statements can be obtained from primitive statements in two ways. ...
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Discrete Structures CS 23022 Johnnie Baker jbaker@cs.kent.edu Logic Module (Part 1 ...
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Inference in First-Order Logic CHAPTER 9 Oliver Schulte * * * * * * * * * * * * * * * * * * * * * * Hassan stopped here * Last step is missing a negation sign on the ...
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The logical disjunction, or logical Or, is true if one or both of the propositions are true. ... Computers represent information as bits (binary digits) A bit ...
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... Greedy(Richard) Evil(Richard) ... exists that also says no to every non-entailed sentence. ... seems obvious that Evil(John), but propositionalization ...
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An axiom is a basic assumption about mathematical structures that needs no proof. ... rules of inference and known theorems, axioms and definitions to show that q ...
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Validity (Tautology) of a set of Wffs ... Two sentences p an q are logically equivalent ( or ) iff p q is a tautology ... inference is the tautology (P (P Q)) Q) ...
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... in implicational form where all negated literals are in a conjunctive antecedent ... Take the negation of the proposed theorem (query), convert it to CNF, ...
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At the end of this chapter you should be able to ... proposition (s) is a tautology, contradiction, contingency or logically equivalents. ...
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Converse: If it is raining, then I am going to town. Converse ... The inverse of an implication has the same truth table as the converse of that implication. ...
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... L will be infinitely long, and if they ... Line L is neither infinitely long nor without length. ... L: Line L is infinitely long. G: Line L has length ...
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Short recapitulation of the features of FOL. Automated inference in FOL: effective procedures for answering questions posed in FOL ...
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Implication plays an important role in reasoning a variety ... the mathematical concept of implication is independent of a cause ... use implication in English. ...
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Russell, S & Norvig, P 'Artificial Intelligence: A Modern Approach', Prentice Hall ... Knows(John,x) Knows(John,Jane) Knows(John,x) Knows(y,OJ) Knows(John,x) ...
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5.1.* Chapter 5 - Set Theory 1. Basic Definitions 2. Empty Set, Partitions, Power Set 3. Properties of Sets
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... Points of Concurrency 4.500 5.200 5.300 5.400 5.500 Final Jeopardy Points of Concurrency Foundations for Geometry Geometric ... Write a conditional ... pattern: 0 ...
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Knowledge and Reasoning humans are very good at ... Sudoku: Solving Sudoku by logic inference. 2. 3. 7. 1. 4. 9. 8. 5. 6. 6. 5. 1. 3. 7. 8. 9. 4. 2. 4. 9 ...
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Geometry Chapter 2: Reasoning and Proof Homework (cont.) Homework (cont.) Example One Given: PQ = RS. Prove: PR = QS. Your Turn Given: PR = QS Prove: PQ = RS Segment ...
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Chapter 2 Reasoning and Proof
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Week s Schedule Mon: Lesson 1.1 Logic Tue: Lesson 1.2 Patterns Wed: Lesson 1.3 Conditional Statements Thu: Lesson 1.3 (continued) conditional statements in symbolic ...
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Converse Flip the hypothesis and conclusion If p, then q becomes If q, ... If you drive a mustang, then it is red. False, You drive a mustang that is black. b.
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where you might use Dispatcher and/or Scheduler a pragmatic study Encoding VRP as an Open Shop Scheduling ... expect to be bad Encoding Job Shop Scheduling ...
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Lesson 2.2 Analyze Conditional Statements ... It only takes one counterexample to show it s false. Use Guitar players are musicians. to write the following.
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Mid-term Review Chapters 2-7 Review Agents (2.1-2.3) Review State Space Search Problem Formulation (3.1, 3.3) Blind (Uninformed) Search (3.4) Heuristic Search (3.5)
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Slides developed at the University of Florida for course COT3100, Applications of Discrete Structures, Spring 2001 & 2003.
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Propositional Logic Symbolic logic If A, then B A B Capital letters stand for simple sentences A simple sentence is an affirmative single statement
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