EECS 20 Lecture 1 (January 17, 2001) Tom Henzinger Motivation.

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Presentation transcript:

EECS 20 Lecture 1 (January 17, 2001) Tom Henzinger Motivation

BridgeStatic equations Aircraft Flight equations TEST SIMULATE CALCULATE REALITYMODEL

REALITYMODEL BridgeStatic equations Aircraft Flight equations TEST SIMULATE CALCULATE Abstract Build Predict

Piece of hardware??? Piece of software ??? Wrong questions ! REALITYMODEL

Piece of information Transformer of information REALITYMODEL - audio - video - text - for communication - for computation - for storage

Piece of information Transformer of information REALITYMODEL - audio - video - text - for communication - for computation - for storage “Signal” “System” State machines Linear equations Mathematical functions

Piece of information Transformer of information REALITYMODEL - audio - video - text - for communication - for computation - for storage “Signal” “System” State machines Linear equations Mathematical functions Abstract Implement Predict Simulate Calculate

Sound: Time  Air pressure Time Air pressure Signal

z := x+1; y := 2· z xy Sound: Time  Air pressure Program: Inputs  Outputs Time Air pressure Signal InputOutput System

z := x+1; y := 2· z xy Sound: Time  Air pressure Program: Inputs  Outputs Time InputOutput Air pressure Signal System Function description Function prescription