PPT-Predicates and Quantifiers

Section 14 Section Summary Predicates Variables Quantifiers Universal Quantifier Existential Quantifier Negating Quantifiers De Morgans Laws for Quantifiers Translating English to 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 © . Logic and Proof. Fall . 2011. Sukumar Ghosh. Predicate Logic. Propositional logic has limitations. Consider this:. Is . x. . > 3. a proposition? No, it is a . predicate. . Call it . P(x. ). . 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. Propositional Logic Not Enough. Given the statements: . “All men are mortal.”. “Socrates is a man.”. It follows that “Socrates is mortal.”. This can’t be represented in propositional logic. . 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. . Predicate Logic. 1 Aug 2013. Predicate Logic (§1.3). Predicate logic. is an extension of propositional logic that permits concisely reasoning about whole . classes. of entities.. Propositional logic (recall) treats simple . 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, . Brought to you by powerpointpros.com. What are Subjects and Predicates?. Every complete sentence has a . subject . and a . predicate. .. What are Subjects and Predicates?. The . subject . of a sentence tells who or what the sentence is about.. A. n. v. e. s. h. . K. o. murave. l. l. i. work done at Carnegie Mellon University. Joint work with . Nikolaj. . Bjørner. , . Arie. . Gurfinkel. , and Kenneth McMillan. In essence…. 1. Efficiently under-approximating projections,. Dr. . Yasir Ali. Predicates. Quantifiers. . Universal Quantifiers . Existential Quantifiers. Negation of Quantifiers. Universal Conditional Statement. Negation of Universal Conditional. Multiple Quantifiers. Satisfiability. Modulo Theories . Frontiers . of . Computational Reasoning . 2009 . –. MSR Cambridge. Leonardo de Moura. Microsoft Research. Symbolic Reasoning. Quantifiers in . Satisfiability. 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.. (First order Logic). Find the proposition whose Truth Table column is give.. Another form. Some slides have been taken from the sites. http://cse.unl.edu/~choueiry/S13-235/. and . http://. www.whitman.edu. Modulo Theories . Manchester 2009. Leonardo de Moura. Microsoft Research. Symbolic Reasoning. Quantifiers in . Satisfiability. Modulo Theories. PSpace. -complete. (QBF). Undecidable. (First-order logic).