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Everything.agda
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Everything.agda
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module Everything where
-- The development can almost entirely be type-checked using --safe,
-- We mark modules that use the TERMINATING pragma with (**)
-- And one module that uses --rewriting with (*).
-- These are the only modules that Agda does not accept ass --safe.
-- # First we summarize the library we use by Rouvoet et al '20, CPP.
--
-- Our work contributes various improvements to the library.
-- In particular, its generalization relations whose underlying
-- equivalence is not propositional equality.
-- But also various additions to the parts of the library
-- mentioned below.
-- Core defines what a proof-relevant ternary relation (Rel₃).
import Relation.Ternary.Core
-- Structures defines type classes for ternary relations.
-- A PRSA is a commutative monoid and should implement:
-- - IsPartialMonoid <: IsPartialSemigroup
-- - IsCommutative
import Relation.Ternary.Structures
-- The overloaded syntax of separation logic comes from:
import Relation.Ternary.Structures.Syntax
-- Resource aware versions of data types that we use are defined generically
-- in Relation.Ternary.Data:
import Relation.Ternary.Data.Bigstar -- 'Star' in figure 5 of the paper
import Relation.Ternary.Data.Bigplus -- 'Plus'
import Relation.Ternary.Data.ReflexiveTransitive -- 'IStar'
-- The computational structures from the library that we use in the paper
import Relation.Ternary.Functor
import Relation.Ternary.Monad
-- # We make the following additions to the library, that we describe in the paper.
-- A generic PRSA for list separation modulo permutations.
-- It is generic in the sense that it is parameterized in a PRSA on its elements.
-- We prove that it is a PRSA, with various additional properties that are
-- crucial for the model construction in the paper.
import Relation.Ternary.Construct.Bag
import Relation.Ternary.Construct.Bag.Properties
-- A generic PRSA Exchange, that generalizes the interface composition relation.
import Relation.Ternary.Construct.Exchange
-- Its construction is generic in 2 PRSAs that obey some properties.
-- These properties are formalized as type-classes on ternary relations
import Relation.Ternary.Structures.Positive
import Relation.Ternary.Structures.Crosssplit
-- We added the writer monad construction described in the paper.
import Relation.Ternary.Monad.Writer
-- # We then formalize the typed language CF, and typed bytecode,
-- and implement the typed compilation backend.
-- The model:
-- The bag separation implements the 'disjoint' and the 'overlapping' context
-- separation from the paper, depending on how you instantiate it.
-- The instantiation is done in the JVM model construction.
-- Here we also instantiate Exchange to obtain interface composition.
import JVM.Model
-- Syntax of bytecode
import JVM.Types
import JVM.Syntax.Instructions
import JVM.Syntax.Bytecode
-- The Compiler monad
import JVM.Compiler.Monad
-- The source language
import CF.Types
import CF.Syntax -- co-contextual
import CF.Syntax.Hoisted -- co-contextual without local variable introductions
import CF.Syntax.DeBruijn -- contextual
import CF.Transform.Hoist -- hoisting local variable declarations (**)
import CF.Transform.UnCo -- contextualizing (**)
import CF.Transform.Compile.Expressions -- compiling expressions
import CF.Transform.Compile.Statements -- compiling statements
import CF.Transform.Compile.ToJVM -- typeclass for type translation
import JVM.Transform.Noooops -- bytecode optimization that removes nops
import JVM.Transform.Assemble -- bytecode translation to absolute jumps (*)
import JVM.Printer -- printer for co-contextual bytecode to Jasmin (not verified) (**)
-- Example compilations.
-- These can be run by first compiling them using `make examples`.
-- The output will be in _build/bin/
import CF.Examples.Ex1 -- (*,**)
import CF.Examples.Ex2 -- (*,**)