How to Learn Computational Logic

A structured path through Computational Logic — from first principles to confident mastery. Check off each milestone as you go.

Computational Logic Learning Roadmap

Click on a step to track your progress. Progress saved locally on this device.

Estimated: 30 weeks

Propositional Logic Foundations

2-3 weeks

Master propositional logic: syntax, semantics, truth tables, logical equivalences, normal forms (CNF, DNF), and proof methods including natural deduction and the resolution rule.

Explore your way

Choose a different way to engage with this topic — no grading, just richer thinking.

Explore your way — choose one:

Explore with AI →

First-Order Logic and Proof Systems

3-4 weeks

Learn predicate logic with quantifiers, terms, predicates, and functions. Study Gentzen-style proof systems, soundness and completeness theorems, and the limits of decidability.

Computability and Decidability

2-3 weeks

Study Turing machines, the Church-Turing thesis, the halting problem, and Goedel's incompleteness theorems. Understand the boundaries of what formal systems and algorithms can achieve.

Automated Reasoning and SAT/SMT Solving

3-4 weeks

Explore unification, resolution-based theorem proving, the DPLL and CDCL algorithms for SAT solving, and SMT solving. Practice with tools like Z3 and MiniSat.

Logic Programming

2-3 weeks

Learn the principles of logic programming through Prolog: Horn clauses, SLD resolution, backtracking, negation as failure, and declarative problem solving.

Modal, Temporal, and Non-Classical Logics

3-4 weeks

Study modal logic (necessity and possibility), temporal logics (LTL, CTL), epistemic logic, and non-monotonic reasoning. Understand their applications in verification and AI.

Type Theory and Proof Assistants

3-4 weeks

Explore the Curry-Howard correspondence, dependent types, and the Calculus of Inductive Constructions. Gain hands-on experience with proof assistants such as Coq or Lean.

Formal Verification and Advanced Topics

3-5 weeks

Apply computational logic to model checking, program verification, and certified software. Explore current research in verified compilers, blockchain verification, and AI safety.

Explore your way

Choose a different way to engage with this topic — no grading, just richer thinking.

Explore your way — choose one:

Explore with AI →

← Back to Computational Logic overview My Progress Focus Mode