Information and Logic
IST 4
Spring 2016
Course Description

Course Description
How do we make circuits (physics) compute and provide answers to human defined problems? The answer to this question consists of two parts: (1) transforming our ideas expressed in natural languages (our common sense) to calculus, and (2) mapping of the calculus to physics, namely, facilitating the implementation of the ideas in physical substrates.
This course explains the key concepts at the foundations of computing with physical substrates.
It also describes recent developments related to biological computing, including:
 Motivation: Biology is magical
 Context: The power of languages
 The evolution of languages for quantities
 Number systems and algorithms: Syntax manipulation
 Leibniz: Computing with syntax boxes and the binary system
 Boole: The mappings of syllogisms to algebra
 Boolean algebra as an axiomatic system
 Boolean functions and their representations
 Syntax boxes and Boolean functions
 Shannon: the mappings of algebra to physics
 Computing Boolean functions with relay circuits
 Computing with DNA strands: Probabilistic relay circuits
 Biologically inspired computing: Neural networks
 Computing with And Or and Not (AON) gates
 Associative memories: Convergence properties of neural networks
 Computing with state machines
