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This document details an assignment involving the implementation of a Hindley-Milner type inferencer for simply typed lambda calculus, focusing on type checking and type reconstruction.
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How to fill out Project 5: Simply Typed Lambda Calculus with Type Reconstruction

01
Begin by reviewing the basic concepts of simply typed lambda calculus.
02
Familiarize yourself with the syntax and semantics of lambda expressions.
03
Understand the rules for type assignments and how to reconstruct types from expressions.
04
Start filling out the project by breaking down the assignment into smaller tasks.
05
For each lambda expression, identify the expected input and output types.
06
Use the type reconstruction algorithm to deduce the types for each part of the expression.
07
Document your thought process and reasoning for each step taken.
08
Ensure to check your work against the provided examples and guidelines in the project.
09
Revise your submission to maintain clarity and conciseness.
10
Submit your completed project according to the provided instructions.

Who needs Project 5: Simply Typed Lambda Calculus with Type Reconstruction?

01
Students in computer science or related fields studying type systems.
02
Researchers interested in foundations of programming languages.
03
Anyone looking to deepen their understanding of type theory and lambda calculus.
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Project 5: Simply Typed Lambda Calculus with Type Reconstruction is an academic project focused on implementing the Simply Typed Lambda Calculus, which is a foundational framework in type theory and functional programming. This project involves developing algorithms that can infer types for expressions in the calculus, demonstrating understanding of type reconstruction.
Students enrolled in the relevant computer science or mathematics courses that include functional programming and type theory are typically required to file Project 5: Simply Typed Lambda Calculus with Type Reconstruction.
To fill out Project 5, students must complete specific tasks outlined in the project guidelines, including implementing the type reconstruction algorithms, writing documentation on their approach, and providing test cases to validate their implementations.
The purpose of Project 5 is to enhance students' understanding of type systems in programming languages, to practice the implementation of theoretical concepts in practical code, and to develop skills in reasoning about types and expressions within the lambda calculus framework.
Students must report the type inference algorithms they've implemented, provide examples of lambda expressions with their inferred types, document any challenges faced during development, and summarize the results of their test cases.
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