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lambdafrex's Introduction

LambdaFrex

Agda library encoding a free extension for the λ-calculus.

Dependencies

Building

agda -i. Everything.agda

Structure

Categories
Extensions to the agda-category library
Category.Instance.IndexedSetoids
Category of setoids indexed by a set.
Data
Extensions to the standard library
Empty.Irrel
Irrelevant empty set for better propositional equality.
Vec.Membership.Reflexive
Vec membership with propositional equality that doesn’t require axiom K.
Vec.Relation.Unary.All.Ext
Additional properties of All.
Vec.Relation.Unary.All.Relation.Binary.Pointwise
Pointwise relationship between dependent vectors.
LambdaFrex
Core contributions of this library
Bundles
Records to define λ-calculus models.
Category
The category of λ-calculus models.
Terms
Term algebra for the λ-calculus
Morphism
Lift setoid functions to term algebra morphisms.
Properties
Prove the term algebra forms the free functor.
Values
Predicates for irreducible terms.
Types
λ-calculus types and type contexts.

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