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Propositional Logic: Logical Agents (Part I) This lecture topic: Propositional Logic (two lectures) Chapter 7.1-7.4 (this lecture, Part I) Chapter 7.5 (next lecture ...

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Logical Agents (Part I) This lecture ... Exploring a wumpus world Exploring a wumpus world Exploring a wumpus world Logic We used logical reasoning to find the gold.

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Mathematical Logic: Lesson 2, propositional logic Marie Du marie.duzi@vsb.cz Mathematical Logic*

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... individuals in a model have names. A collection of variables say { xi : ... the variable x is said to be bound; meaning the name x plays no significant role. ...

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An Introduction to Classical Logic (propositional and Predicate Logic) ... ISA 780/SWE 623 Classical Logic. Duminda Wijesekera. 3. Propositional Logic: Syntax ...

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... in simultaneously substituting x1, ...xn by t1, ...tn. ... Similar definition for y A(y). Examples: y (y = 1) [y/y] is y (y = 1). Here x is y and t is x. ...

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PROPOSITIONAL LOGIC 6.4 Truth Tables for Arguments TRUTH TABLES FOR ARGUMENTS Symbolize the argument using letters for simple propositions. On one line, write the ...

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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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Semantics of PL Truth Tables Truth Tables Truth Tables About Example A Small Knowledge Base Model of a KB Satisfiability of a KB 3-SAT Problem Logical Entailment ...

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Propositional Logic Russell and Norvig: Chapter 6 Chapter 7, Sections 7.1 7.4 Knowledge-Based Agent Types of Knowledge Procedural, e.g.: functions Such knowledge ...

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Propositional Logic Propositional Language Translations Truth Tables Propositional Proofs Appendix: Model Theory * T T (B M) M H / B asm: B B ...

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Computer Science UC Davis ... Pro W3 Wingdings 2 Symbol Aspect 1_Aspect 2_Aspect 3_Aspect 4_Aspect Logic and Digital Logic CPUs Basic Concepts ...

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What did Sherlock Holmes conclude? kavita hatwal fall 2002 ... Complete the above to logically prove Sherlock Holmes right. kavita hatwal fall 2002 Math 231 ...

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Construct the models of KB based on rules of world ... Constructing the KB. 38. 39. Properties of Model Checking ... it works for any KB and sentence to prove a ...

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PROPOSITIONAL LOGIC. SUMMARY. DEFINITIONS. A declarative sentence is a sentence ... LAW OF SYLLOGISM (HYPOTHETICAL SYLLOGISM) P = Q. Q = R. therefore P = R ...

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Propositional logic is a branch of symbolic logic dealing with simple ... If proposition p = 'I am a donkey.' Then p = 'I am not a donkey.' Conjunction Operator ...

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2. Determine the number of truth-value lines you must have to express all ... For statement forms, there are only two symbols. ...

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E.g. know(Charles,Ken), Adjacent (x,y), father-of(Kathy) = Michael, Victor, x. 20 ... y x Loves(x,y) Quantifier duality: each can be expressed using the other ...

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squares adjacent to wumpus are smelly - squares adjacent to pits are breezy ... shooting kills wumpus if you are facing it - shooting uses up the only arrow ...

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Negation of p. Let p be a ... The negation of an AND statement is logically equivalent to the OR ... p Double Negation Law. p q q p; p q q p Commutative Laws ...

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If Bin Laden is responsible for the 911 holocaust, then bombing Afghanistan is a ... Bin Laden is not responsible for the 911 holocaust. ...

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Propositional and First-Order Logic Chapter 7.4 7.8, 8.1 8.3, 8.5 Some material adopted from notes by Andreas Geyer-Schulz and Chuck Dyer * * * * Proving W13 ...

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... rule for abduction, outside scope of this course) ... Mq. where Li and Mj are complementrary. Infer the clause: L1 ... Li-1 Li 1 ... Lk M1 Mj-1 Mj 1 ...

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Propositional and First-Order Logic Chapter 7.4 7.8, 8.1 8.3, 8.5 Some material adopted from notes by Andreas Geyer-Schulz and Chuck Dyer Overview Propositional ...

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(1,2) [stench,none,none,none,none] L? ok. CSE391-2005. LOGIC. 12. The Lion World ... (1,1) [none,none,none,none,none] A. ok. ok. ok. CSE391-2005. LOGIC. 18 ...

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the set of all the breeds of cat in the world. A = {s, d, f, h, k } B = {a, b, c, d, e, f} ... (x) this would mean: There is one and only one cat that is green. ...

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Implicative Normal Form CPL (INFCPL) Horn CPL (HCPL) Semantics. Cognitive and Herbrand interpretations, ... f valid (or tautology) iff true in all Hi(f), ex, a ...

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With n propositional symbols, one can define 2n models. Model of a KB ... Engine-Starts Flat-Tire Car-OK. Battery-OK Bulbs-OK. Connective symbol (implication) ...

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... prop calc. R : 'It is raining' B : 'Take the bus to class' W : 'Walk to class' Some things to tell our agent ... W ('If it is not raining, (then) walk to class' ...

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CMSC 471 Propositional Logic Chapter 7.4-7.5, 7.7 Adapted from s by Tim Finin and Marie desJardins. Some material adopted from notes by Andreas Geyer-Schulz

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Episode 4 Classical propositional logic (quick review) What logic is or should be Propositions Boolean operations The language of classical propositional logic

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Automated Reasoning in Propositional Logic Problem Given: KB: a set of sentence : a sentence Answer: KB ? Deduction vs. Satisfiability Test Computational ...

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AS MODERN LOGIC, IT ATTEMPTS TO UNDERSTAND THE FORMS OF ARGUMENTS BY ELIMINATING ... Truth value: if either disjunct is true, then whole claim is true. ...

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Automated Reasoning in Propositional Logic Russell and Norvig: Chapters 6 and 9 Chapter 7, Sections 7.5 7.6 CS121 Winter 2003 Problem Given: KB: a set of ...

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John plays tennis if sunny and weekend day. If John plays tennis, Mary goes ... Specific: Does John play tennis? All: what may one conclude? State-Space Model? ...

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p = I play golf ; q = It's sunny. p if and only if q. p q ... Create a dictionary, ie. assign letters to the atomic' propositions ...

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Meanings are the thoughts, concepts, ideas we are trying to convey through ... and a 2nd proposition negates one of these alternatives (disjunctive syllogism) ...

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B= Breeze. S= Smell. P= Pit. W= Wumpus. OK = Safe. V = Visited. G = Glitter. CS 561, Sessions 10-11 ... B= Breeze. S= Smell. P= Pit. W= Wumpus. OK = Safe. V ...

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Recap (detailed examples of planning as CSP) Logic Intro ... PUC - Rob picks up coffee. must be at the coffee shop, and must not have coffee ...

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Artificial Intelligence: Agents and Propositional Logic. Propositional Logic Propositional Logic Propositional Logic Wumpus world logic Wumpus world logic Truth ...

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... the same thing, it would certainly be false unless you have a square dancing ... Let p be the proposition: 'Alfred Hitchcock won an academy award for directing' ...

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Then you may need to apply distributive laws. Proposition - CNF. Goal: Proving R. P ... Distributive laws: (-s&-t) or q (-s or q)&(-t or q). P -P or Q or R -S ...

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Artificial Intelligence 1: Agents and Propositional Logic. ... Contraposition. Modens ponens. Morgan's rule. 8/21/09. 13. AI 1. Pag. Searching for proofs ...

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A knowledge base is a set of definite clauses. CPSC 322, Lecture 20. Slide 8 ... Given a proof procedure, KB g means g can be derived from knowledge base KB. ...

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1. Propositional Logic Syntax Acquisition Using Induction and ... In the second case, {S1 is T sr1} is the arithmetic ex-pression on the right hand side of r1. ...

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Logic of Fiction and Logic in Computer Science. Chayunt Mathon ... Logic of Fiction vs. logics in computer science. Logic in computer science : ...

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(Apart from other things) a useful TOOL for mathematics, computing, linguistics, ... Wilfrid Hodges: Logic, an Introduction to Elementary Logic, Penguin, 1997, 2001 ...

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... logicians and philosophers have been analyzing the character ... will be arrested. ... In this case, not being arrested is a sufficient condition to ...

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Logic Use mathematical deduction to derive new knowledge. Predicate Logic is a powerful representation scheme used by many AI programs. Propositional logic is much ...

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Logic Truth Tables, Propositions, Implications Statements Logic is the tool for reasoning about the truth or falsity of statements. Propositional logic is the study ...

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Title: Logic Basic Terms Author: TCDSB Last modified by: TCDSB Created Date: 2/5/2002 10:25:31 PM Document presentation format: On-screen Show Company

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Logical Agents Chapter 7 Outline Knowledge-based agents Wumpus world Logic in general - models and entailment Propositional (Boolean) logic Equivalence, validity ...

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First-Order Logic Chapter 8 Problem of Propositional Logic Propositional logic has very limited expressive power E.g., cannot say

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... Syntax and Semantics Logical inference Soundness and Completeness Knowledge-Based Agent Architecture Recall the simple ... Proof Theory of FOPC The ...

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First-Order Logic Chapter 8 * * * * * * * * * * * Problem of Propositional Logic Propositional logic has very limited expressive power E.g., cannot say

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