Software & AI Engineering
All levels

Programming Language Semantics

Academic (University) preparation with worked examples, written practice and independent learning assessments.

Independent university-level study of Programming Language Semantics. This original curriculum draws on public academic subject descriptions; it is not an official faculty syllabus, university credit, accreditation or an Ivy League qualification. Topics covered: Abstract syntax; Inductive definitions; Binding; Substitution. Small-step semantics; Evaluation contexts; Reduction traces; Determinism. Big-step semantics; Environments; Closures; Recursive definitions. Simple types; Typing judgments; Preservation; Progress. Polymorphism; Type inference; Parametricity; Abstract types. References; Effects; Exceptions; Continuations. Denotational models; Fixed points; Domain theory; Program equivalence. Operational reasoning; Logical relations; Language extensions; Semantic case studies. Projects use safe simulations, public datasets or textual analysis; specialist subject review is required. Includes lessons, supplementary YouTube tutorials, practical exercises, quizzes and free/paid practice tests. Erudex is independent, not affiliated with the source institution or awarding body. Its 80% learning checks are not official grades or university credit. Content requires qualified subject review before use as a complete teaching programme.

32h Certificate available
InternationalAcademic (University)Independent preparation

Curriculum

One complete track with its own final exam and certificate.

Independent university-level study of Programming Language Semantics. This original curriculum draws on public academic subject descriptions; it is not an official faculty syllabus, university credit, accreditation or an Ivy League qualification. Topics covered: Abstract syntax; Inductive definitions; Binding; Substitution. Small-step semantics; Evaluation contexts; Reduction traces; Determinism. Big-step semantics; Environments; Closures; Recursive definitions. Simple types; Typing judgments; Preservation; Progress. Polymorphism; Type inference; Parametricity; Abstract types. References; Effects; Exceptions; Continuations. Denotational models; Fixed points; Domain theory; Program equivalence. Operational reasoning; Logical relations; Language extensions; Semantic case studies. Projects use safe simulations, public datasets or textual analysis; specialist subject review is required.

Abstract syntax; Inductive definitions; Binding; Substitution

  • Abstract Syntax and Grammatical Metalanguages Lab60 min
  • Inductive Definitions and Inference Systems Lab60 min
  • Variable Binding and Alpha-Equivalence Lab60 min
  • Capture-Avoiding Substitution Lab60 min

Careers this prepares you for

    How you study

    Every lesson pairs an in-depth video with written notes, key takeaways, a hands-on lab, exercises and a quiz. Work at your own pace, then sit the final examination for your Erudex certificate.