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Core Theory and Knowledge

Here lie posts dedicated to pertinent core theory and fundamental knowledge.  Core theories pertaining to programming are as varied as they are deep.  The primary one, of course, is the theory of computation.  This theory rests heavily on discrete mathematics and formal languages and includes automata, computability, and complexity theories.

Learning about these theories in conjunction with mathematical logic will help you gain a deep understanding.  You’ll know what properties and behaviors are possible for a program.  Mathematical logic includes, but isn’t limited to, set, model, recursion, and proof theories.  These theories often build upon first-order logic (also known as predicate/quantificational logic, and first-order predicate calculus).

In other words, what you’ll find in these pages will help you learn how to program just about anything.  These fundamental concepts don’t really change much from one machine or language to the next.  They are almost always applicable no matter what you’re doing.  If you understand these concepts well enough, you may even be able to create your own programming language or structures.

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