Just like any programming language we define in this class, we need to define two things about the lambda calculus: its syntax and its semantics. The syntax is simple enough: a term t in the lambda ...

While there are many applications for lambda ... and basic calculus include solving an equation or computing the integral of a function. For over 15 years Java has been my programming language ...

Exercise 1.1. Implement logical or and and functions. Exercise 1.3. Implement times without using plus. Exercise 1.4. Define a term for raising one number to the power of another. Exercise 1.5. Define ...

In the world of lambda calculus programming languages there are many ways to express the terms, which is why we ended up with such an amazing range of programming languages, even if most trace ...

write a lambda calculus interpreter in a functional programming language to reduce lambda calculus expressions in a call-by-value (applicative order) manner.

Abstract: Lambda calculus is a formal system built around the concepts of function definition and function application. It is a minimalistic Turing-computable system that has a great influence on the ...

This paper introduces a formal metalanguage called the lambda-q calculus for the specification of quantum programming languages. This metalanguage is an extension of the lambda calculus, which ...

And yet despite this simplicity, the lambda calculus is Turing complete! Just like any programming language we define in this class, we need to define two things about the lambda calculus: its syntax ...