Mutual Recursion — Agda 2.8.0 documentation

Agda offers multiple ways to write mutually-defined data types, record types and functions. The last two are more expressive than the first one.

Reflection — Agda 2.8.0 documentation

Terms, sorts, patterns, and clauses are mutually recursive and mapped to the AGDATERM , AGDASORT , AGDAPATTERN and AGDACLAUSE built-ins respectively. Types are ...

Core language — Agda 2.8.0 documentation

... mutual recursion. Grammar . At its core, Agda is a dependently typed lambda calculus. The grammar of terms where a represents a generic term is: a ::= x ...

Coinduction — Agda 2.8.0 documentation

Mutual Recursion · Opaque definitions · Pattern Synonyms · Positivity Checking ... open import Agda.Builtin.Equality mutual data Colist (A : Set) : Set where ...

Language Reference — Agda 2.8.0 documentation

Mutual Recursion · Opaque definitions · Pattern Synonyms · Positivity Checking · Postulates · Pragmas · Prop · Record Types · Reflection · Rewriting · Run-time ...

With-Abstraction — Agda 2.8.0 documentation

is type correct, which is not guaranteed (see below). Add a function f_{aux} , mutually recursive with f , with the definition. \[\arraycolsep=1.4 ...

Another beginner question - How to define mutually recursive types?

module Core where open import Agda.Builtin.Cubical.Path data Ctx ... I figured maybe I just need to use a mutual block or something, but the docs ...

Welcome to Agda's documentation!

Welcome to Agda's documentation! Welcome to Agda's documentation! . The ... Mutual Recursion · Opaque definitions · Pattern Synonyms · Positivity Checking ...

Releases · agda/agda - GitHub

Make recursion on proofs legal again. Improve ... Fixes issue 6234 by updating documentation for Cubical Agda and removing links by @mortberg in #6977 ...

Termination Checking — Agda 2.8.0 documentation

Not all recursive functions are permitted - Agda accepts only these recursive schemas that it can mechanically prove terminating. Primitive recursion . In the ...

Agda User Manual - Read the Docs

Page 1. Agda User Manual. Release 2.8.0. The Agda Team. Oct 30, 2024 ... the recursion is well-founded, and hence will not result in an invalid (circular) ...

How to provide proof for termination in Agda?

Note: I looked at the documentation, which ... How to convince Agda that definition is terminating in the presence of unapplied recursion?

Welcome to Agda's documentation!

Welcome to Agda's documentation! Welcome to Agda's documentation!¶. The ... Mutual Recursion · Opaque definitions · Pattern Synonyms · Positivity Checking ...

Agda.TypeChecking.Monad.Base

Agda-2.8.0: A dependently typed functional programming language and proof assistant ... A record type inferred as recursive needs a manual declaration ...

Assisting Agda's termination checker - Stack Overflow

Agda's termination checker only checks for structural recursion (i.e. calls that happen on structurally smaller arguments) and there's no ...

System F in Agda, for Fun and Profit

We consider Fωμ, which adds higher-order kinds and iso-recursive types. We present the first complete, intrinsically typed, exe- cutable, formalisation of ...

Record Types — Agda 2.8.0 documentation

The directives available are eta-equality , no-eta-equality , pattern (see Eta-expansion), inductive and co-inductive (see Recursive records). Constructing ...

packages.txt

... (Documentation) ii adduser 3.115 all add and remove users and groups ii ... agda 2.5.1.1-3 all dependently typed functional programming language ii agda ...

Package candidates | Hackage

Agda: 2.6.2.0.20211129, 2.6.2.1, 2.6.2.1.20220320, 2.6.2.1.20220327 ... Lightweight generic library for mutually recursive data types. multirec: 0.7 ...

Module list for lts-6.35 :: Stackage Server

Agda.Interaction.Library (Agda-2.5.1); Agda.Interaction.Library.Base (Agda ... Agda.TypeChecking.Monad.Mutual (Agda-2.5.1); Agda.TypeChecking.Monad.Open ...