PPT-Binary Decision Diagrams

A generalpurpose toolkit for combinatorial problems Torsten M ü tze Based on D Knuth The Art of Computer Programming Vol 4 Binary Decision Diagrams BDDs. –. . Part II. CS 8803 FPL. (Slides courtesy of John Whaley). 1. Unification vs. Inclusion. Earlier scalable pointer analysis was context-insensitive unification-based [. Steensgaard. ’96]. Pointers are . Relationship to Acyclic Automata and . Complexities of Binary Set Operations. Shuhei Denzumi. 1. , Ryo Yoshinaka. 2, 1. , . Shin-ichi Minato. 1,2. , and . Hiroki Arimura. 1. 1) Hokkaido University. 2) JST ERATO Minato Discrete Structure Manipulation System Project. and Games in Simulation . Metamodeling. Jirka. . Poropudas. (M.Sc.). Aalto University. School of Science and Technology. Systems Analysis Laboratory. http://www.sal.tkk.fi/en/. jirka.poropudas@tkk.fi . Decision Tree. Advantages. Fast and easy to implement, Simple to understand. Modular, Re-usable. Can be learned .  . can be constructed dynamically from observations and actions in game, we will discuss this further in a future topic called ‘Learning’). –. . Part II. CS . 6340. 1. Unification vs. Inclusion. Earlier scalable pointer analysis was context-insensitive unification-based [. Steensgaard. ’96]. Pointers are . either un-aliased . or point . Binary Moment Diagrams. by. . Krishna Chillara. Base Paper: . “Verification of Arithmetic Circuits using Binary Moment Diagrams. ” . by . Randal . E. Bryant and Yirng-An . Chen. Outline. Introduction. GLY 4200 . Fall, 2016. 2. Binary Diagrams. Binary diagrams have two components. We therefore usually choose to plot both T (temperature) and X (composition) with pressure held constant. P-X (T fixed) or P-T (X fixed) are also possible. GLY 4200 . Fall, . 2017. 2. Unary Diagrams. Unary diagrams . have a single component. We therefore usually choose to plot both P (pressure) and T (temperature) since composition is not a variable. Examples. Binary Logic. Binary Logic. Binary Logic. Explain . why data is represented in computer systems in binary form. To be able to process data. Computer made up of billions transistors with on and off switches which is why the data needs to be in binary, 0 off and 1 on. Fall, 2017. 2. Binary Diagrams. Binary diagrams have two components. We therefore usually choose to plot both T (temperature) and X (composition) with pressure held constant. P-X (T fixed) or P-T (X fixed) are also possible. 15-414 Bug Catching: Automated Program Verification and Testing. Sagar. . Chaki. September 14, 2011. BDDs Recap. Typically mean Reduced Ordered Binary Decision Diagrams (ROBDDs). Can be viewed as reduced forms of Ordered Binary Decision Trees. Knowledge Compilation: Representations and Lower Bounds Paul Beame University of Washington with Jerry Li, Vincent Liew , Sudeepa Roy, Dan Suciu Representing Boolean Functions Circuits Boolean formulas (tree-like circuits), CNFs, DNFs Lecture 3. COPYRIGHT OF PROF. SHOBHA VASUDEVAN, ECE, UIUC. . PLEASE DO NOT DISTRIBUTE/REUSE ANY OF THESE SLIDES WITHOUT MY EXPLICIT PERMISSION.. Equivalence checking using BDDs. Motivation: Combinational equivalence checking. Course: . CS60030. FORMAL SYSTEMS. 1. Pallab. . Dasgupta. Professor, . Dept. of Computer . Sc. & . Engg. 2. Contents. . Motivation for Decision diagrams. Binary Decision Diagrams. ROBDD. Effect of Variable Ordering on BDD size.