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Principles of Programming Languages Course

Our Principles of Programming Languages course covers syntax and semantics, names, bindings and scopes, data types, expressions and control structures, subprograms and parameter passing, abstract data types, object orientation, concurrency, exception handling, and functional and logic programming. Lessons are live and one-to-one with a verified subject expert, who explains each concept with worked examples, solves problems from your own module and helps you prepare for exams and coursework. Suitable for computer science and engineering students, following university syllabi in the UK, US, Australia and India (including AKTU, VTU and Anna University style courses).

Reviewed by P. Gaurav, B.Tech in Computer Science and EngineeringLast updated

650 enrolled·36 lessons·36h·Advanced·English
36
Lessons
36h
Total duration
650
Students enrolled
Advanced
Level

What you will learn

Learning outcomes

  • Understand programming language concepts
  • Explain syntax and semantics
  • Understand data types and type systems
  • Analyze scope and binding
  • Apply control structures
  • Understand functions and parameter passing
  • Compare programming paradigms
  • Understand memory management concepts
  • Compare programming languages
  • Explain fundamental language design principles

Prerequisites

  • Basic programming
  • Object-oriented programming basics
  • Data structures basics
  • Basic computer science concepts

Tags

principles of programming languagesPPL courseprogramming language theorylambda calculusdenotational semanticsoperational semanticstype systemsHoare logicmodel checking

Course structure

Syllabus(7 modules)

  • Equivalence of lambda calculus and Turing machines
  • Free and bound variables
  • Substitution
  • Reduction

What is Principles of Programming Languages?

In short: this course gives one-to-one online tutoring in principles of programming languages. A verified tutor explains syntax and semantics, binding and scope, types, functional and logic programming, lambda calculus and program correctness.

Principles of programming languages is the study of how programming languages are designed, defined and reasoned about, independent of any single language. It covers formal models of computation such as the lambda calculus, how the meaning of programs is defined through semantics, type systems and their soundness, and methods for proving programs correct.

This online course teaches Principles of Programming Languages one to one with a verified tutor who has studied or taught it at university level, at your pace and aligned with your own module.

Related subject: Computer science help.

What does the Principles of Programming Languages course cover?

TopicKey content
Lambda calculus and Turing machinesFree and bound variables, substitution, reduction, equivalence with Turing machines
Sequential languagesConstructs, programs as state transformers, denotational semantics
Object-oriented languagesConstructs, mathematical structures, implementation
Type theoryOperational semantics, basic and advanced type systems, type soundness
NondeterminismPredicate transformers, guarded command language, algebraic specification
Program correctnessTermination, well-foundedness, logics of programs
Program verificationHoare logic, model checking, algorithmic versus deductive approaches

How does beta reduction work in the lambda calculus?

Beta reduction applies a function to an argument by substitution: (λx. M) N reduces to M with every free x replaced by N. To avoid variable capture, rename bound variables first (alpha conversion). A term is in normal form when no more beta reductions are possible.

How do you prove a program correct with Hoare logic?

  1. Write the Hoare triple {P} C {Q}: precondition, command, postcondition.
  2. Apply the assignment axiom by substituting into the postcondition.
  3. Use the sequence rule to chain commands.
  4. For if-statements, prove both branches.
  5. For loops, find an invariant that holds before and after each iteration.
  6. Show termination separately using a decreasing variant.

What does a worked scoping question look like?

Here is a typical question: x = 1 globally; function f prints x; function g declares its own x = 2 and calls f. What does g print?

Scoping rulef looks up x in…Output
Static (lexical)The environment where f is defined: global x1
DynamicThe calling environment: g's x2

Where do students lose marks in Principles of Programming Languages?

Students most often lose marks in Principles of Programming Languages through the habits below. Each is easy to fix with practice and feedback on your own work.

Mark-loserWhat to do instead
Static and dynamic scope confusedTrace where the function is defined versus called
Beta reduction errorsRename variables to avoid capture
Steps skippedShow each step of the method
Definitions vagueUse precise technical definitions
No worked checkVerify the result with a small example
Diagrams missingDraw the structure or flow before solving

How is it assessed, and how can a tutor help?

Programming languages modules are usually assessed by written exams with reductions, typing derivations and correctness proofs, plus problem sheets and sometimes small interpreter projects.

Tutors explain concepts, work through practice problems with you and give feedback on your approach. Graded work you submit must be your own, as set out in our academic integrity policy. For deadline-driven guidance, see assignment help.

How the lessons work

Lessons are live and one to one on video with screen sharing and a shared whiteboard. You can follow a full course or book sessions on the topics you find hardest before exams. See also Theory of Computation, Compiler Design and Discrete Structures.

Principles of programming languages syllabus: who this course is for, prerequisites and study plan

A principles of programming languages syllabus usually covers syntax and semantics, names, binding and scope, data types, control structures, subprograms, object-oriented features, functional and logic programming, and type systems, and this course follows your own PPL syllabus with a 1-to-1 tutor.

This course suits second- and third-year computer science students taking a PPL or programming language concepts module.

Prerequisites: programming in at least one language, object-oriented basics and data structures basics.

Course length: 36 one-hour lessons across 7 modules.

StageModulesWhat you can do afterwards
1Lambda calculus and Turing machinesReduce lambda expressions and explain computability
2Sequential and object-oriented programming languagesCompare scoping, parameter passing and inheritance across languages
3Type theory, nondeterminismExplain type systems and type soundness
4Program correctness, program verificationProve simple programs correct with Hoare logic

Where it leads: PPL pairs with our Compiler Design course and Theory of Computation.

Principles of Programming Languages Course: frequently asked questions

What is the study of programming languages about?

How languages are designed, given precise meaning and reasoned about.

What is the lambda calculus?

A minimal formal system of functions and application that is as powerful as a Turing machine.

What is the difference between operational and denotational semantics?

Operational semantics describes execution steps; denotational semantics maps programs to mathematical meanings.

What does type soundness mean?

Well-typed programs do not go wrong at run time, often stated as progress and preservation.

What is Hoare logic?

A formal system for proving program correctness using preconditions and postconditions.

What is model checking?

Automatically checking whether a system model satisfies a specification.

Is principles of programming languages hard?

Principles of programming languages can feel abstract because it studies how languages work rather than how to use one. Lambda calculus, formal semantics and type systems usually need the most practice. It becomes easier when every idea is shown with short code examples in different languages, which is how your tutor teaches it.

Can you help me prepare for my exam?

Yes. Tutors practise reductions, typing derivations and proofs.

How much does a Programming Languages tutor cost?

The price depends on the tutor and session length. You see the hourly rate before booking, with no subscription.

Can a tutor do my assignment for me?

No. Tutors explain, guide and give feedback so you can complete your own work, in line with our academic integrity policy.

What is the difference between static and dynamic scoping?

Static scoping resolves names where code is defined; dynamic scoping uses the call stack at run time.

What is beta reduction?

Applying a lambda function by substituting the argument for the parameter.

What is a type system?

Rules that assign types to expressions to prevent certain errors.

What is the difference between strong and weak typing?

Strong typing restricts implicit conversions more than weak typing.

What is a closure?

A function together with the environment in which it was created.

What is tail recursion?

Recursion where the recursive call is the last action, allowing optimisation.

What is pattern matching?

Selecting code to run by matching data against structural patterns, common in functional languages.

What are the concepts of programming languages?

Core concepts include syntax and semantics, names, binding and scope, data types, expressions and control structures, subprograms and parameter passing, abstract data types, object-oriented features, exception handling, concurrency, and functional and logic programming. A principles of programming languages course compares how different languages implement each concept. Your tutor uses short code examples for every topic.

Do you offer lessons in my time zone?

Yes. Lessons are online, so you can book times that suit your time zone.

What is the difference between compiled and interpreted languages?

A compiled language, such as C or C++, is translated into machine code before it runs, which usually makes execution fast. An interpreted language, such as Python, is executed by an interpreter statement by statement. Many modern languages mix both, for example Java compiles to bytecode that a virtual machine then runs.

What topics are in the principles of programming languages syllabus?

Most PPL syllabi include syntax and semantics, names, bindings and scope, data types, expressions and control structures, subprograms and parameter passing, abstract data types, object-oriented programming, concurrency, exception handling, and functional and logic programming. Some universities add lambda calculus and program verification. Your tutor follows your own syllabus unit by unit.

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