PPT-Predicates and Quantifiers

Propositional Logic Not Enough Given the statements All men are mortal Socrates is a man It follows that Socrates is mortal This cant be represented in propositional logic . Goals. : . Explain . how to work with nested . quantifiers. S. how that . the order . of quantification . matters. . Work . with . logical . expressions involving multiple . quantifiers.. Copyright © . The pictures describe an incident. Write sentences based on the pictures and words given. You must add your own words to make the story interesting. Brainstorm the verbs for each of the picture. taxi driver – passenger – airport – Noir Hotel. There are different types of determiners. . The . type of determiner depends on the type of noun. Singular nouns always need a determiner. Plural nouns the determiner is optional. Uncountable nouns the determiner is also optional. . Senior Comp. practice. Identify Subject. Grammar. Subjects/Predicates. SIMPLE Subjects. Our solar system has nine planets.. The Earth rotates around the sun in twelve months.. The most distant planet from the sun is Pluto.. Chapter 2. Predicates and quantifiers. Can be used to express the meaning of a. . wide range of statements. Allow us to reason and explore relationship between objects. 2. Predicates. statements involving variables, . Day 3, 1.4 Quantifiers. 1. 3. Predicates. A lot like functions that return . booleans. Let P(x) denote x<12. P(2) = . P(50) = . Let P(x, y, z) denote x-y<z. P(5, 4, 2) = . P(10, 5, 1) = . 4. Quantifiers. What . is your quantifier quotient (QQ)?. Barbara . Zurer. . Pearson. bpearson@research.umass.edu. University of Massachusetts . Amherst. Language Acquisition . Colloquium. Background. This work is part of the preliminary studies for an . Goal. : . Introduce predicate logic, . including existential . & universal quantification. Introduce translation between English sentences & logical expressions.. Copyright © Peter . Cappello. Goals. : . Explain . how to work with nested . quantifiers. S. how that . the order . of quantification . matters. . Work . with . logical . expressions involving multiple . quantifiers.. Copyright © . Dr. . Yasir Ali. Predicates. Quantifiers. . Universal Quantifiers . Existential Quantifiers. Negation of Quantifiers. Universal Conditional Statement. Negation of Universal Conditional. Multiple Quantifiers. Lecture 5. Predicate Logic. Spring 2013. 1. Announcements. Reading assignments. Predicates and Quantifiers. 1.4, 1.5 7. th. Edition. 1.3, 1.4 6. th. . Edition. Hand in Homework 1 now. Homework 2 is available on the website. Objectives. Identify English sentences that are statements.. Express statements using symbols.. Form the negation of a statement.. Express negations using symbols.. Translate a negation represented by symbols into English.. Modulo Theories . Manchester 2009. Leonardo de Moura. Microsoft Research. Symbolic Reasoning. Quantifiers in . Satisfiability. Modulo Theories. PSpace. -complete. (QBF). Undecidable. (First-order logic). Exercise 4. Exercise . Translate . these statements into English, where C(x) is “. x. . is a comedian” and F(x) is “x is funny” and the domain . consists . of all people. . . a)∀. x(C(x)→F(x)) .