PPT-Applied Logic

Tony Hoare Lausanne 20 June 2011 Historical Survey Discovery deductive logic constructive logic temporal logic algebraic logic Application Attribution philosophy Aristotle geometry . This way not only signi64257cant time and cost savings are possible but also error sources can be eliminated and the 64258exibility in operation is enhanced he logic relays of the CL range are ideally suited for small and mediumsized control applica 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 Permission granted for photocopy reproduction. Please do not alter or modify contents. All rights reserved. 800-338-4065 www.loveandlogic.com 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 . 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 . Eighth Edition. Chapter 5. Looping. Objectives. In this chapter, you will learn about:. The advantages of looping. Using a loop control variable. Nested loops. Avoiding common loop mistakes. Using a . Grigore. . Rosu. and Andrei Stefanescu. University of Illinois, USA. Matching Logic . Reachability. - Goal -. Language independent program verification framework. Derives program properties based on the operational semantics of a language. Logic Gate Operation. A logic gates senses inputs, in the form of . voltage. , and determines the output based on a predetermined set of rules. The two most basic types of Gates are “OR” and “AND”. ?. Anatoliy. . Konversky. ,. academician of National Academy . of Science of Ukraine,. D. ean of Philosophy Faculty. Taras. Shevchenko National University of Kyiv. . Dear colleagues. , participants of the conference! . 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. .