Media Summary: After HM type inference collects a set of constraints, they need to be solved to determine the types that are inferred. The intuition ... Putting together the entire HM type inference How to infer the type of `if` expressions in HM type inference Textbook:

Unification Algorithm Ocaml Programming Chapter 9 Video 44 - Detailed Analysis & Overview

After HM type inference collects a set of constraints, they need to be solved to determine the types that are inferred. The intuition ... Putting together the entire HM type inference How to infer the type of `if` expressions in HM type inference Textbook: The Hindley-Milner type inference (or reconstruction) What happens when HM type inference is over? Either a "principal type" is found, or a type error has been detected. Textbook: ... Achieving polymorphism for `let` expressions in HM type inference leads to "type schemes", which universally quantify over type ...

We review the psuedocode for a practical and working HM type inference of `let` expressions led to type schemes, which enabled polymorphism. Add mutability, though, could lead to a ... How to infer the types of constants and names in HM type inference Textbook: How to infer the type of anonymous functions (lambdas) in HM type inference Textbook: A "closure" is a data structure containing the code for a function, as well as the environment that "closes" off its free variables. How to define the substitution operation for simple expressions, including `if` and `let` Textbook:

Small- and big-step evaluation relations are themselves related: the big-step is an abstraction of the small-step Textbook: ... The HM type-inference relation adds a set of "collected constraints" to the type-checking relation Textbook: ... How to infer the type of function applications in HM type inference Textbook: The environment-model semantics of functions requires careful attention to scope Textbook:

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Unification Algorithm | OCaml Programming | Chapter 9 Video 44
Intuition for Unification | OCaml Programming | Chapter 9 Video 43
A Worked Example of Type Inference | OCaml Programming | Chapter 9 Video 45
Inference of Ifs | OCaml Programming | Chapter 9 Video 40
Hindley-Milner Type Inference | OCaml Programming | Chapter 9 Video 37
Finishing Type Inference | OCaml Programming | Chapter 9 Video 46
Let Polymorphism | OCaml Programming | Chapter 9 Video 48
A unification algorithm for Hindley-Milner types
The Value Restriction | OCaml Programming | Chapter 9 Video 49
Inference of Constants and Names | OCaml Programming | Chapter 9 Video 39
Inference of Functions | OCaml Programming | Chapter 9 Video 41
Closures | OCaml Programming | Chapter 9 Video 27
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Unification Algorithm | OCaml Programming | Chapter 9 Video 44

Unification Algorithm | OCaml Programming | Chapter 9 Video 44

The "

Intuition for Unification | OCaml Programming | Chapter 9 Video 43

Intuition for Unification | OCaml Programming | Chapter 9 Video 43

After HM type inference collects a set of constraints, they need to be solved to determine the types that are inferred. The intuition ...

A Worked Example of Type Inference | OCaml Programming | Chapter 9 Video 45

A Worked Example of Type Inference | OCaml Programming | Chapter 9 Video 45

Putting together the entire HM type inference

Inference of Ifs | OCaml Programming | Chapter 9 Video 40

Inference of Ifs | OCaml Programming | Chapter 9 Video 40

How to infer the type of `if` expressions in HM type inference Textbook: https://cs3110.github.io/textbook.

Hindley-Milner Type Inference | OCaml Programming | Chapter 9 Video 37

Hindley-Milner Type Inference | OCaml Programming | Chapter 9 Video 37

The Hindley-Milner type inference (or reconstruction)

Finishing Type Inference | OCaml Programming | Chapter 9 Video 46

Finishing Type Inference | OCaml Programming | Chapter 9 Video 46

What happens when HM type inference is over? Either a "principal type" is found, or a type error has been detected. Textbook: ...

Let Polymorphism | OCaml Programming | Chapter 9 Video 48

Let Polymorphism | OCaml Programming | Chapter 9 Video 48

Achieving polymorphism for `let` expressions in HM type inference leads to "type schemes", which universally quantify over type ...

A unification algorithm for Hindley-Milner types

A unification algorithm for Hindley-Milner types

We review the psuedocode for a practical and working

The Value Restriction | OCaml Programming | Chapter 9 Video 49

The Value Restriction | OCaml Programming | Chapter 9 Video 49

HM type inference of `let` expressions led to type schemes, which enabled polymorphism. Add mutability, though, could lead to a ...

Inference of Constants and Names | OCaml Programming | Chapter 9 Video 39

Inference of Constants and Names | OCaml Programming | Chapter 9 Video 39

How to infer the types of constants and names in HM type inference Textbook: https://cs3110.github.io/textbook.

Inference of Functions | OCaml Programming | Chapter 9 Video 41

Inference of Functions | OCaml Programming | Chapter 9 Video 41

How to infer the type of anonymous functions (lambdas) in HM type inference Textbook: https://cs3110.github.io/textbook.

Closures | OCaml Programming | Chapter 9 Video 27

Closures | OCaml Programming | Chapter 9 Video 27

A "closure" is a data structure containing the code for a function, as well as the environment that "closes" off its free variables.

Definition of Substitution | OCaml Programming | Chapter 9 Video 17

Definition of Substitution | OCaml Programming | Chapter 9 Video 17

How to define the substitution operation for simple expressions, including `if` and `let` Textbook: https://cs3110.github.io/textbook.

Evaluation Relations | OCaml Programming | Chapter 9 Video 14

Evaluation Relations | OCaml Programming | Chapter 9 Video 14

Small- and big-step evaluation relations are themselves related: the big-step is an abstraction of the small-step Textbook: ...

Type Inference Relation | OCaml Programming | Chapter 9 Video 38

Type Inference Relation | OCaml Programming | Chapter 9 Video 38

The HM type-inference relation adds a set of "collected constraints" to the type-checking relation Textbook: ...

Inference of Applications | OCaml Programming | Chapter 9 Video 42

Inference of Applications | OCaml Programming | Chapter 9 Video 42

How to infer the type of function applications in HM type inference Textbook: https://cs3110.github.io/textbook.

9. Unification in First Order Logic Propositional Logic Artificial Intelligence by Mahesh Huddar

9. Unification in First Order Logic Propositional Logic Artificial Intelligence by Mahesh Huddar

9

CS461 AI Lecture:  Tracing the Unify Algorithm (Optional)

CS461 AI Lecture: Tracing the Unify Algorithm (Optional)

Not a required

Function Semantics in the Environment Model | OCaml Programming | Chapter 9 Video 26

Function Semantics in the Environment Model | OCaml Programming | Chapter 9 Video 26

The environment-model semantics of functions requires careful attention to scope Textbook: https://cs3110.github.io/textbook.