'Existential quantifier' presentation slideshows

Chapter 2 Fundamentals of Logic

Chapter 2 Fundamentals of Logic. Dept of Information management National Central University Yen-Liang Chen. 2.1 Basic connectives and truth table. Assertions, called statements or propositions, are declarative sentences that are either true or false

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The Foundations: Logic and Proof

The Foundations: Logic and Proof. CS104. 1.3 Propositional Equivalences. Introduction Logical Equivalences. Introduction. Definition1 A compound proposition that is always true, no matter what the truth values of the propositions that occurs in it, is called a tautology.

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Chapter 1: (Part 2): The Foundations: Logic and Proofs

Chapter 1: (Part 2): The Foundations: Logic and Proofs. Propositional Equivalence (Section 1.2) Predicates & Quantifiers (Section 1.3). Propositional Equivalences (1.2). A tautology is a proposition which is always true . Classic Example: P V ? P

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Ch.1 (Part 2): The Foundations: Logic and Proof, Sets, and Functions

Ch.1 (Part 2): The Foundations: Logic and Proof, Sets, and Functions. Propositional Equivalence (Section 1.2) Predicates & Quantifiers (Section 1.3) Sets (section 1.6). Propositional Equivalences (1.2). A tautology is a proposition which is always true . Classic Example: P V ? P

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CS322

Week 1 - Wednesday. CS322. Last time. Course overview Propositional logic Truth tables AND, OR, NOT Logical equivalence. Questions?. Logical warmup. You come to a fork in the road Two men stand beneath a sign that reads: Ask for the way, but waste not your breath

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CSE115/ENGR160 Discrete Mathematics 01/19/12

CSE115/ENGR160 Discrete Mathematics 01/19/12. Ming-Hsuan Yang UC Merced. 1.3 Propositional equivalences. Replace a statement with another statement with the same truth value For efficiency (speed-up) or implementation purpose (e.g., circuit design). Tautology and contradiction.

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L ogics for D ata and K nowledge R epresentation

L ogics for D ata and K nowledge R epresentation. Description Logics. Outline. Overview Syntax: the DL family of languages Semantics TBox ABox Tableau Algorithm. Overview. OVERVIEW :: SYNTAX :: SEMANTICS :: TBOX :: ABOX :: TABLEAU ALGORITHM.

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Chapter 1: The Foundations: Logic and Proofs

Chapter 1: The Foundations: Logic and Proofs. 1.1 Propositional Logic 1.2 Propositional Equivalences 1.3 Predicates and Quantifiers 1.4 Nested Quantifiers 1.5 Rules of Inference 1.6 Introduction to Proofs 1.7 Proof Methods and Strategy. Predicates.

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Predicates and Quantifiers

Predicates and Quantifiers. Chuck Cusack. Predicate in English. In English, a sentence has 2 parts: the subject and the predicate . The predicate is the part of the sentence that states something about the subject . For example, in the sentence

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Chapter 2: Building Discourse Representations

Chapter 2: Building Discourse Representations. November 14, 2007 Matt Gerber. DRS Construction. Claim: DRT is a flexible theory compatible with a range of construction strategies DRS threading Rehash of the SCA -DRSs -abstraction approach Underspecified DRSs Hole semantics.

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Based on Powerpoint slides by Giorgi Japaridze , Villanova University

Space Complexity and Interactive Proof Systems. Sections 8.0, 8.1, 8.2, 8.3, 10.4. Based on Powerpoint slides by Giorgi Japaridze , Villanova University. 8.0.a. Space complexity defined . Definition 8.1 Let M be a deterministic Turing machine that halts on

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Classical first-order logic (quick review)

Episode 5. Classical first-order logic (quick review). Propositional logic versus first-order (predicate) logic The universe of discourse Constants, variables, terms and valuations Predicates as generalized propositions Boolean operations as operations on predicates

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Lorenzen Game Semantics

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University of Palestine Faculty of Applied Engineering and Urban Planning

University of Palestine Faculty of Applied Engineering and Urban Planning Software Engineering Department Introduction to Discrete Mathematics Predicate Logic. Outlines. Predicate Logic. Universal quantifier. Existential quantifier. Negation of quantified propositional functions.

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Natural Deduction for Predicate Logic

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George Boole

1815-1864 English Mathematician His The Mathematical Analysis of Logic , 1848 is the first contribution to symbolic logic In this book he introduced what is today called Boolean Logic (or Algebra) JT: Boolean (True, False outcome). George Boole. Logic. Peeking into Computer Science.

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Introduction to Quantification

Language, Proof and Logic. Introduction to Quantification. Chapter 9. 9.1. Variables and atomic wffs. Variables --- a new type of basic terms, along with names/constants. They can be seen as placeholders for names

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Predicate logic

Predicate logic. CSC 333. Terms . Universal quantifier Existential quantifier Predicate Domain of Interpretation Dummy variable Free variable Predicate wff Unary, binary, ternary. Things to remember . . . . The order of quantifiers is important (p. 36).

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English ? FOL: universal quantifier

English ? FOL: universal quantifier. The structure of the universal quantifier is: ? X(... ? ...) Key words in an English sentence that indicates an universal quantifier: all , every, each, any For every x, if x is a student and x likes mathematics, the x does not likes Oscar:

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