PPT-1 First-Order Logic: Review

Firstorder logic Firstorder logic FOL models the world in terms of Objects which are things with individual identities Properties of objects that distinguish them from others Relations. Please do not alter or modify contents All rights reserved 1FQMFXIFFMMZVDDFGVMJNQMFNFUJHUIJLJMM hy does my child always have an attitude Shes often disruptive disrespectful or picking on other children Shes always the one with a chip on her shoulder Probability Conditional Probability Mean Median Mo de and Standard Deviation Random Variables Distributions uniform normal exponential Poisson Binomial Set Theory Algebra Sets Relations Functions Groups Partial Orders Lattice Boolean Algebra Comb The method automatically checks sequen tial logic embedded in PLCs and provides counterexamples if it finds errors The method consists of a system model assertions and a model checker The model is a Booleanbased repre sentation of a PLCs behavior As s father was a wealthy Virginia plante Washington fought in the French and Indian War Washington fought in the French and Indian War led disorganized poor ly funded Continental army in led disorganized poor ly funded Continental army in the Revoluti Permission granted for photocopy reproduction. Please do not alter or modify contents. All rights reserved. 800-338-4065 www.loveandlogic.com Onramps . Table of Contents. W. Welcome Aboard! Who’s Here?. Destination: Where . A. re . W. e . G. oing?. GPS Navigation: How Do We Engage our City Contextually?. 4. Major Boulevards: What . P. Closure properties in modal logic. Closure properties in modal logic. Specific modal logics. Specific . modal logics are . specified . by giving . formula schemes. , which are then called axioms, and . Grigore. . Rosu. University of Illinois at . Urbana-Champaign (UIUC). Joint work with. Chucky Ellison . (UIUC). Wolfram Schulte . (Microsoft Research). How It Started. NASA project runtime . verification effort. We already know that the language of the machine is . binary. – that is, sequences of 1’s and 0’s. But why is this? . At the hardware level, computers are streams of signals. These signals only have two states of interest, high voltage and low voltage. . Learning Objectives. Know the three basic logic gate operators . Work out the output of given inputs using a truth table. All the instructions and data inside a computer are stored using binary. . Computer memory uses many small transistors and capacitors to store data. . Logic Gates. NOT (Inverter) Gate. AND Gate. OR Gate. NAND Gate. NOR Gate. XOR Gate. Digital Signals. Digital signals 0 (false) or 1 (true). Digital signal 1 is represented by a small voltage.. Digital signal 0 is represented by no voltage.. Learn what a logic gate is and what they are for.. Be able to identify common logic gates.. Understand how truth tables work.. What is a logic gate?. Logic gates are part of the circuits inside your computer. They can take several INPUTS. . Logic Gates. NOT (Inverter) Gate. AND Gate. OR Gate. NAND Gate. NOR Gate. XOR Gate. Digital Signals. Digital signals 0 (false) or 1 (true). Digital signal 1 is represented by a small voltage.. Digital signal 0 is represented by no voltage.. First Lecture Today . (Tue 28 . Jun). Review Chapters 8.3-8.5,. Read 9.1-9.2 (optional: 9.5). Second . Lecture Today (. Tue 28 . Jun). Read . Chapters. . 13, 14.1-14.5. Next Lecture (. Thu 30 . Jun).