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.
... 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. ...
... 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. ...
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 ...
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 ...
What did Sherlock Holmes conclude? kavita hatwal fall 2002 ... Complete the above to logically prove Sherlock Holmes right. kavita hatwal fall 2002 Math 231 ...
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 ...
PROPOSITIONAL LOGIC. SUMMARY. DEFINITIONS. A declarative sentence is a sentence ... LAW OF SYLLOGISM (HYPOTHETICAL SYLLOGISM) P = Q. Q = R. therefore P = R ...
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 ...
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 ...
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 ...
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 ...
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 ...
... 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 ...
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 ...
(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 ...
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. ...
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 ...
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) ...
... 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' ...
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
Episode 4 Classical propositional logic (quick review) What logic is or should be Propositions Boolean operations The language of classical propositional logic
Automated Reasoning in Propositional Logic Problem Given: KB: a set of sentence : a sentence Answer: KB ? Deduction vs. Satisfiability Test Computational ...
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. ...
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 ...
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? ...
Meanings are the thoughts, concepts, ideas we are trying to convey through ... and a 2nd proposition negates one of these alternatives (disjunctive syllogism) ...
Artificial Intelligence: Agents and Propositional Logic. Propositional Logic Propositional Logic Propositional Logic Wumpus world logic Wumpus world logic Truth ...
... 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' ...
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 ...
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. ...
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. ...
(Apart from other things) a useful TOOL for mathematics, computing, linguistics, ... Wilfrid Hodges: Logic, an Introduction to Elementary Logic, Penguin, 1997, 2001 ...
... logicians and philosophers have been analyzing the character ... will be arrested. ... In this case, not being arrested is a sufficient condition to ...
Logic Use mathematical deduction to derive new knowledge. Predicate Logic is a powerful representation scheme used by many AI programs. Propositional logic is much ...
Logic Truth Tables, Propositions, Implications Statements Logic is the tool for reasoning about the truth or falsity of statements. Propositional logic is the study ...
... Syntax and Semantics Logical inference Soundness and Completeness Knowledge-Based Agent Architecture Recall the simple ... Proof Theory of FOPC The ...
First-Order Logic Chapter 8 * * * * * * * * * * * Problem of Propositional Logic Propositional logic has very limited expressive power E.g., cannot say