Logic for Programmers

Logic is already at work in ordinary programming: inside a conditional, behind a test, and in the assumptions built into a database or a set of requirements. In this early-access version of Logic for Programmers, Hillel Wayne makes those connections explicit and shows how formal reasoning can help with practical software problems—not just mathematical proofs.

The book begins with predicates, sets, and quantifiers, then moves from the fundamentals into code, testing, contracts, databases, modeling, and logic-based tools. Its explanations are designed for programmers with little or no formal-math background, while assuming familiarity with programming basics.

Start with the logic behind the code

A crash course introduces the building blocks: predicates, sets, quantifiers, and notation. From there, the book applies logical reasoning to simplifying conditionals and refactoring code. The goal is to help readers examine what an expression actually says—and when two different-looking expressions mean the same thing.

Make tests and requirements more precise

Chapters on testing and case analysis connect logic to the work of checking program behavior and understanding decision rules. The book discusses property-based testing, assertions, contracts, and decision tables, offering ways to reason about broader sets of cases rather than relying only on isolated examples.

Reason about correctness, data, and systems

Further chapters introduce proofs and formal verification, then turn to relational databases, constraints, data modeling, and system modeling. The later material surveys solvers and logic programming, including Prolog. These topics show how logical ideas can inform questions that range from whether code satisfies a condition to how data or a system should be represented.

A practical route into formal methods

Wayne favors accessible explanations and programming terminology over the precision and formality of a mathematics textbook. Chapters are largely independent, so readers can begin with the fundamentals and then follow the techniques most relevant to their work. Exercises and answers provide opportunities to check understanding and compare approaches.

Edition note: This listing represents version 0.11.1, an early-access beta edition. Its opening pages describe the book as still subject to polishing and revision.