PPT-Abstraction-Guided Synthesis

of Synchronization Greta Yorsh Eran Yahav Martin Vechev IBM Research . Greta . Yorsh. Eran. . Yahav. Martin . Vechev. IBM Research. { . . ………………. . …… . ………………….. . …………………….. …………………………. }. P1(). Coming to Grips with Complexity in Verification. Ken McMillan. Microsoft Research. TexPoint fonts used in EMF: . A. A. A. A. A. Need for Formal Methods that Scale. We design complex computing systems by debugging. Occurs through a process of . simplification. or . distortion. in an attempt to communicate an . essential aspect. of a form or concept. Varying degrees of resemblance to the real world. Abstraction. Richard Gesick. Abstraction. the mechanism and practice of . abstraction. reduces and factors out details so that one can focus on a few concepts at a time. The concept . originated by analogy with abstraction in . with Bounds. Outline. Motivation. Abstractions . of extensive-form games. Theoretical guarantees on abstraction quality. Computing . abstractions. Hardness. Algorithms. Experiments. Nash equilibrium. Kenny Denmark. Jason Isenhower. Ross Roessler. Background. A* uses heuristics for efficient searching. Initially, heuristics provided by "expert". Challenge is to have program create heuristics. Coming to Grips with Complexity in Verification. Ken McMillan. Microsoft Research. TexPoint fonts used in EMF: . A. A. A. A. A. Need for Formal Methods that Scale. We design complex computing systems by debugging. Where has all my stuff gone ? Abstraction in the physical world Yaakov (J) Stein CTO, RAD There are 2 techniques frequently used to solve hard problems and which have been raised to an art in computer science Way of classifying information from abstract (general) to concrete (specific) . . Level 4:. Abstractions. Level 3: . Noun Classes, broad group names with little specification. Level 2:. Noun Categories, more definite groups. Lecture 08(c) – Predicate Abstraction and SLAM . Eran. . Yahav. . Previously . Typestate. Verification. 2. Today. Predicate Abstraction (via SLAM). Acks. Slides cannibalized from . Ball&Rajamani. Lecture 01 - Introduction. Eran. . Yahav. . 1. Goal. Understand . program . analys. is & synthesis . apply . these techniques in your . research . understand jargon/papers. conduct research in this area. Slide . 1. PHY Abstraction for MU-MIMO. Date:. 2010-07-11. Authors: . Name. Affiliations. Address. Phone. email. Riichi Kudo. NTT Corporation. Hikarino-oka Yokosuka-shi Japan. +81-46-859- 3140. kudo.riichi@lab.ntt.co.jp. Slide . 1. PHY Abstraction for MU-MIMO. Date:. 2010-07-11. Authors: . Name. Affiliations. Address. Phone. email. Riichi Kudo. NTT Corporation. Hikarino-oka Yokosuka-shi Japan. +81-46-859- 3140. kudo.riichi@lab.ntt.co.jp. University of Pennsylvania. 1. Program Verification. 2. Verifier. Proof of correctness or Witness of a bug. Specification S. Program P. Classical Program Synthesis. 3. Synthesizer. Specification S. High Level.