diff options
Diffstat (limited to 'Source/Forro')
-rw-r--r-- | Source/Forro/Ast.fs | 76 | ||||
-rw-r--r-- | Source/Forro/BoogieAst.fs | 80 | ||||
-rw-r--r-- | Source/Forro/BoogiePrinter.fs | 224 | ||||
-rw-r--r-- | Source/Forro/Forro.fsproj | 164 | ||||
-rw-r--r-- | Source/Forro/Lexer.fsl | 120 | ||||
-rw-r--r-- | Source/Forro/Main.fs | 114 | ||||
-rw-r--r-- | Source/Forro/Parser.fsy | 244 | ||||
-rw-r--r-- | Source/Forro/Printer.fs | 214 | ||||
-rw-r--r-- | Source/Forro/Resolver.fs | 246 | ||||
-rw-r--r-- | Source/Forro/Translator.fs | 434 |
10 files changed, 958 insertions, 958 deletions
diff --git a/Source/Forro/Ast.fs b/Source/Forro/Ast.fs index 6c7ba65c..779beefb 100644 --- a/Source/Forro/Ast.fs +++ b/Source/Forro/Ast.fs @@ -1,38 +1,38 @@ -module Forro
-
-type Field = Head | Tail | Valid
-
-type Variable = Var of string
-
-let VarName v =
- match v with Var(x) -> x
-
-type Operator = Eq | Neq | Plus | Minus | Times
- | Less | AtMost | And | Or
-
-type Expression =
- | Constant of int
- | Null
- | Identifier of Variable
- | Not of Expression
- | Binary of Operator * Expression * Expression
- | Select of Expression * Field
- | Old of Expression
-
-type Statement =
- | Assign of Variable * Expression
- | Update of Expression * Field * Expression
- | Alloc of Variable * Expression * Expression
- | IfStmt of Expression * StmtList * StmtList
- | WhileStmt of Expression * Expression list * StmtList
- | CallStmt of Variable list * string * Expression list
- | Assert of Expression
-
-and StmtList =
- Block of Statement list
-
-type Procedure =
- Proc of string * Variable list * Variable list * Expression * Expression * StmtList
-
-type Program =
- Prog of Procedure list
+module Forro + +type Field = Head | Tail | Valid + +type Variable = Var of string + +let VarName v = + match v with Var(x) -> x + +type Operator = Eq | Neq | Plus | Minus | Times + | Less | AtMost | And | Or + +type Expression = + | Constant of int + | Null + | Identifier of Variable + | Not of Expression + | Binary of Operator * Expression * Expression + | Select of Expression * Field + | Old of Expression + +type Statement = + | Assign of Variable * Expression + | Update of Expression * Field * Expression + | Alloc of Variable * Expression * Expression + | IfStmt of Expression * StmtList * StmtList + | WhileStmt of Expression * Expression list * StmtList + | CallStmt of Variable list * string * Expression list + | Assert of Expression + +and StmtList = + Block of Statement list + +type Procedure = + Proc of string * Variable list * Variable list * Expression * Expression * StmtList + +type Program = + Prog of Procedure list diff --git a/Source/Forro/BoogieAst.fs b/Source/Forro/BoogieAst.fs index 964f6667..7c1819da 100644 --- a/Source/Forro/BoogieAst.fs +++ b/Source/Forro/BoogieAst.fs @@ -1,40 +1,40 @@ -namespace BoogieAst
-
-type BType = BInt | BBool
-
-type BOperator = BEq | BNeq | BPlus | BMinus | BTimes | BLess | BAtMost | BAnd | BOr
-
-type BExpression =
- | BConstant of int
- | BFalse
- | BTrue
- | BNull
- | BIdentifier of string
- | BNot of BExpression
- | BBinary of BOperator * BExpression * BExpression
- | BSelect of string * BExpression
- | BToPred of BExpression // BToPred(e) == (e != 0)
- | BToTerm of BExpression // BToTerm(e) == (if e then 1 else 0)
- | BOld of BExpression
- | BFunc of string * BExpression list
-
-type BStmtList =
- BBlock of Statement list
-
-and Statement =
- | BAssign of string * BExpression
- | BUpdate of string * BExpression * BExpression
- | BHavoc of string list
- | BAssert of BExpression
- | BAssume of BExpression
- | BIfStmt of BExpression * BStmtList * BStmtList
- | BWhileStmt of BExpression * BExpression list * BStmtList
- | BCallStmt of string list * string * BExpression list
-
-type BVarDecl = BVar of string * BType
-
-type BProcedure =
- BProc of string * BVarDecl list * BVarDecl list * BExpression * string list * BExpression * BVarDecl list * BStmtList
-
-type BProgram =
- BProg of string * BProcedure list
+namespace BoogieAst + +type BType = BInt | BBool + +type BOperator = BEq | BNeq | BPlus | BMinus | BTimes | BLess | BAtMost | BAnd | BOr + +type BExpression = + | BConstant of int + | BFalse + | BTrue + | BNull + | BIdentifier of string + | BNot of BExpression + | BBinary of BOperator * BExpression * BExpression + | BSelect of string * BExpression + | BToPred of BExpression // BToPred(e) == (e != 0) + | BToTerm of BExpression // BToTerm(e) == (if e then 1 else 0) + | BOld of BExpression + | BFunc of string * BExpression list + +type BStmtList = + BBlock of Statement list + +and Statement = + | BAssign of string * BExpression + | BUpdate of string * BExpression * BExpression + | BHavoc of string list + | BAssert of BExpression + | BAssume of BExpression + | BIfStmt of BExpression * BStmtList * BStmtList + | BWhileStmt of BExpression * BExpression list * BStmtList + | BCallStmt of string list * string * BExpression list + +type BVarDecl = BVar of string * BType + +type BProcedure = + BProc of string * BVarDecl list * BVarDecl list * BExpression * string list * BExpression * BVarDecl list * BStmtList + +type BProgram = + BProg of string * BProcedure list diff --git a/Source/Forro/BoogiePrinter.fs b/Source/Forro/BoogiePrinter.fs index 8f2b37ee..e9497ab5 100644 --- a/Source/Forro/BoogiePrinter.fs +++ b/Source/Forro/BoogiePrinter.fs @@ -1,112 +1,112 @@ -module BoogiePrinter
-
-open ForroPrinter // to get Indent
-open BoogieAst
-
-let PrintWithSep Pr sep list =
- ignore (List.fold (fun sp e -> printf "%s" sp ; Pr e ; sep) "" list)
-
-let TypeName t =
- match t with
- | BInt -> "int"
- | BBool -> "bool"
-
-let PrVarType v =
- match v with
- | BVar(name,t) ->
- printf "%s: %s" name (TypeName t)
-
-let PrintOp op =
- printf " "
- match op with
- | BEq -> printf "=="
- | BNeq -> printf "!="
- | BPlus -> printf "+"
- | BMinus -> printf "-"
- | BTimes -> printf "*"
- | BLess -> printf "<"
- | BAtMost -> printf "<="
- | BAnd -> printf "&&"
- | BOr -> printf "||"
- printf " "
-
-let rec PrintExpr e =
- match e with
- | BConstant(x) -> printf "%d" x
- | BFalse -> printf "false"
- | BTrue -> printf "true"
- | BNull -> printf "null"
- | BIdentifier(id) -> printf "%s" id
- | BNot(e) -> printf "!(" ; PrintExpr e ; printf ")"
- | BBinary(op,e0,e1) -> printf "(" ; PrintExpr e0 ; PrintOp op ; PrintExpr e1 ; printf ")"
- | BSelect(var,e) -> printf "%s[" var ; PrintExpr e ; printf "]"
- | BToPred(e) -> printf "(" ; PrintExpr e ; printf " != 0)"
- | BToTerm(e) -> printf "(if " ; PrintExpr e ; printf " then 1 else 0)"
- | BOld(e) -> printf "old(" ; PrintExpr e ; printf ")"
- | BFunc(id,args) -> printf "%s(" id ; PrintWithSep PrintExpr ", " args ; printf ")"
-
-let rec PrintStmt indent stmt =
- Indent indent
- let ind = indent + 2
- match stmt with
- | BAssign(id,e) -> printf "%s := " id ; PrintExpr e ; printfn ";"
- | BUpdate(id,obj,rhs) -> printf "%s[" id ; PrintExpr obj ; printf "] := " ; PrintExpr rhs ; printfn ";"
- | BHavoc(ids) -> printf "havoc " ; PrintWithSep (printf "%s") ", " ids ; printfn ";"
- | BAssert(e) -> printf "assert " ; PrintExpr e ; printfn ";"
- | BAssume(e) -> printf "assume " ; PrintExpr e ; printfn ";"
- | BIfStmt(e,thn,els) ->
- printf "if (" ; PrintExpr e ; printfn ") {"
- PrintStmtList ind thn
- Indent indent
- printfn "} else {"
- PrintStmtList ind els
- Indent indent
- printfn "}"
- | BWhileStmt(e, invs, body) ->
- printf "while (" ; PrintExpr e ; printfn ")"
- List.iter (fun inv -> Indent ind ; printf "invariant " ; PrintExpr inv ; printfn ";") invs
- Indent indent
- printfn "{"
- PrintStmtList ind body
- Indent indent
- printfn "}"
- | BCallStmt(outs, id, ins) ->
- printf "call "
- if outs.IsEmpty then () else PrintWithSep (fun p -> printf "%s" p) ", " outs ; printf " := "
- printf "%s(" id
- PrintWithSep PrintExpr ", " ins
- printfn ");"
-
-and PrintStmtList indent stmts =
- match stmts with
- | BBlock(slist) -> List.iter (fun s -> PrintStmt indent s) slist
-
-let BPrintProc proc =
- match proc with
- | BProc(name, ins, outs, req, frame, ens, locals, body) ->
- printfn ""
- printf "procedure %s(" name
- PrintWithSep PrVarType ", " ins
- printf ") returns ("
- PrintWithSep PrVarType ", " outs
- printfn ")"
- printf " requires "
- PrintExpr req
- printfn ";"
- printf " modifies "
- PrintWithSep (printf "%s") ", " frame
- printfn ";"
- printf " ensures "
- PrintExpr ens
- printfn ";"
- printfn "{"
- List.iter (fun local -> printf " var " ; PrVarType local ; printfn ";") locals
- if locals.IsEmpty then () else printfn ""
- PrintStmtList 2 body
- printfn "}"
-
-let BPrint (prog: BProgram) =
- match prog with
- | BProg(prelude, procs) ->
- printfn "%s" prelude
- List.iter BPrintProc procs
+module BoogiePrinter + +open ForroPrinter // to get Indent +open BoogieAst + +let PrintWithSep Pr sep list = + ignore (List.fold (fun sp e -> printf "%s" sp ; Pr e ; sep) "" list) + +let TypeName t = + match t with + | BInt -> "int" + | BBool -> "bool" + +let PrVarType v = + match v with + | BVar(name,t) -> + printf "%s: %s" name (TypeName t) + +let PrintOp op = + printf " " + match op with + | BEq -> printf "==" + | BNeq -> printf "!=" + | BPlus -> printf "+" + | BMinus -> printf "-" + | BTimes -> printf "*" + | BLess -> printf "<" + | BAtMost -> printf "<=" + | BAnd -> printf "&&" + | BOr -> printf "||" + printf " " + +let rec PrintExpr e = + match e with + | BConstant(x) -> printf "%d" x + | BFalse -> printf "false" + | BTrue -> printf "true" + | BNull -> printf "null" + | BIdentifier(id) -> printf "%s" id + | BNot(e) -> printf "!(" ; PrintExpr e ; printf ")" + | BBinary(op,e0,e1) -> printf "(" ; PrintExpr e0 ; PrintOp op ; PrintExpr e1 ; printf ")" + | BSelect(var,e) -> printf "%s[" var ; PrintExpr e ; printf "]" + | BToPred(e) -> printf "(" ; PrintExpr e ; printf " != 0)" + | BToTerm(e) -> printf "(if " ; PrintExpr e ; printf " then 1 else 0)" + | BOld(e) -> printf "old(" ; PrintExpr e ; printf ")" + | BFunc(id,args) -> printf "%s(" id ; PrintWithSep PrintExpr ", " args ; printf ")" + +let rec PrintStmt indent stmt = + Indent indent + let ind = indent + 2 + match stmt with + | BAssign(id,e) -> printf "%s := " id ; PrintExpr e ; printfn ";" + | BUpdate(id,obj,rhs) -> printf "%s[" id ; PrintExpr obj ; printf "] := " ; PrintExpr rhs ; printfn ";" + | BHavoc(ids) -> printf "havoc " ; PrintWithSep (printf "%s") ", " ids ; printfn ";" + | BAssert(e) -> printf "assert " ; PrintExpr e ; printfn ";" + | BAssume(e) -> printf "assume " ; PrintExpr e ; printfn ";" + | BIfStmt(e,thn,els) -> + printf "if (" ; PrintExpr e ; printfn ") {" + PrintStmtList ind thn + Indent indent + printfn "} else {" + PrintStmtList ind els + Indent indent + printfn "}" + | BWhileStmt(e, invs, body) -> + printf "while (" ; PrintExpr e ; printfn ")" + List.iter (fun inv -> Indent ind ; printf "invariant " ; PrintExpr inv ; printfn ";") invs + Indent indent + printfn "{" + PrintStmtList ind body + Indent indent + printfn "}" + | BCallStmt(outs, id, ins) -> + printf "call " + if outs.IsEmpty then () else PrintWithSep (fun p -> printf "%s" p) ", " outs ; printf " := " + printf "%s(" id + PrintWithSep PrintExpr ", " ins + printfn ");" + +and PrintStmtList indent stmts = + match stmts with + | BBlock(slist) -> List.iter (fun s -> PrintStmt indent s) slist + +let BPrintProc proc = + match proc with + | BProc(name, ins, outs, req, frame, ens, locals, body) -> + printfn "" + printf "procedure %s(" name + PrintWithSep PrVarType ", " ins + printf ") returns (" + PrintWithSep PrVarType ", " outs + printfn ")" + printf " requires " + PrintExpr req + printfn ";" + printf " modifies " + PrintWithSep (printf "%s") ", " frame + printfn ";" + printf " ensures " + PrintExpr ens + printfn ";" + printfn "{" + List.iter (fun local -> printf " var " ; PrVarType local ; printfn ";") locals + if locals.IsEmpty then () else printfn "" + PrintStmtList 2 body + printfn "}" + +let BPrint (prog: BProgram) = + match prog with + | BProg(prelude, procs) -> + printfn "%s" prelude + List.iter BPrintProc procs diff --git a/Source/Forro/Forro.fsproj b/Source/Forro/Forro.fsproj index 8f6fc223..161d79db 100644 --- a/Source/Forro/Forro.fsproj +++ b/Source/Forro/Forro.fsproj @@ -1,83 +1,83 @@ -<?xml version="1.0" encoding="utf-8"?>
-<Project ToolsVersion="4.0" DefaultTargets="Build" xmlns="http://schemas.microsoft.com/developer/msbuild/2003">
- <PropertyGroup>
- <Configuration Condition=" '$(Configuration)' == '' ">Debug</Configuration>
- <Platform Condition=" '$(Platform)' == '' ">x86</Platform>
- <ProductVersion>8.0.30703</ProductVersion>
- <SchemaVersion>2.0</SchemaVersion>
- <ProjectGuid>{c75e47a0-e88d-4035-9ebf-f6647af92b79}</ProjectGuid>
- <OutputType>Exe</OutputType>
- <RootNamespace>Language</RootNamespace>
- <AssemblyName>Forro</AssemblyName>
- <TargetFrameworkVersion>v4.0</TargetFrameworkVersion>
- <TargetFrameworkProfile>Client</TargetFrameworkProfile>
- <Name>Language</Name>
- </PropertyGroup>
- <PropertyGroup Condition=" '$(Configuration)|$(Platform)' == 'Debug|x86' ">
- <DebugSymbols>true</DebugSymbols>
- <DebugType>full</DebugType>
- <Optimize>false</Optimize>
- <Tailcalls>false</Tailcalls>
- <OutputPath>bin\Debug\</OutputPath>
- <DefineConstants>DEBUG;TRACE</DefineConstants>
- <WarningLevel>3</WarningLevel>
- <PlatformTarget>x86</PlatformTarget>
- <DocumentationFile>bin\Debug\Language.XML</DocumentationFile>
- </PropertyGroup>
- <PropertyGroup Condition=" '$(Configuration)|$(Platform)' == 'Release|x86' ">
- <DebugType>pdbonly</DebugType>
- <Optimize>true</Optimize>
- <Tailcalls>true</Tailcalls>
- <OutputPath>bin\Release\</OutputPath>
- <DefineConstants>TRACE</DefineConstants>
- <WarningLevel>3</WarningLevel>
- <PlatformTarget>x86</PlatformTarget>
- <DocumentationFile>bin\Release\Language.XML</DocumentationFile>
- </PropertyGroup>
- <Import Project="$(MSBuildExtensionsPath32)\..\Microsoft F#\v4.0\Microsoft.FSharp.Targets" />
- <Import Project="$(MSBuildExtensionsPath32)\..\FSharpPowerPack-2.0.0.0\bin\FSharp.PowerPack.targets" />
- <PropertyGroup>
- <FsLexOutputFolder>$(IntermediateOutputPath)</FsLexOutputFolder>
- <FsYaccOutputFolder>$(IntermediateOutputPath)</FsYaccOutputFolder>
- </PropertyGroup>
- <ItemGroup>
- <Compile Include="Ast.fs" />
- <Compile Include="$(IntermediateOutputPath)\Parser.fs">
- <Visible>false</Visible>
- <Link>Parser.fs</Link>
- </Compile>
- <Compile Include="$(IntermediateOutputPath)\Lexer.fs">
- <Visible>false</Visible>
- <Link>Lexer.fs</Link>
- </Compile>
- <FsYacc Include="Parser.fsy">
- <OtherFlags>--module Parser</OtherFlags>
- </FsYacc>
- <FsLex Include="Lexer.fsl">
- <OtherFlags>--unicode</OtherFlags>
- </FsLex>
- <Compile Include="Printer.fs" />
- <Compile Include="Resolver.fs" />
- <Compile Include="BoogieAst.fs" />
- <Compile Include="BoogiePrinter.fs" />
- <Compile Include="Translator.fs" />
- <Compile Include="Main.fs" />
- </ItemGroup>
- <ItemGroup>
- <Reference Include="FSharp.PowerPack">
- <HintPath>C:\Program Files\FSharpPowerPack-1.9.9.9\bin\FSharp.PowerPack.dll</HintPath>
- </Reference>
- <Reference Include="mscorlib" />
- <Reference Include="FSharp.Core" />
- <Reference Include="System" />
- <Reference Include="System.Core" />
- <Reference Include="System.Numerics" />
- </ItemGroup>
- <!-- To modify your build process, add your task inside one of the targets below and uncomment it.
- Other similar extension points exist, see Microsoft.Common.targets.
- <Target Name="BeforeBuild">
- </Target>
- <Target Name="AfterBuild">
- </Target>
- -->
+<?xml version="1.0" encoding="utf-8"?> +<Project ToolsVersion="4.0" DefaultTargets="Build" xmlns="http://schemas.microsoft.com/developer/msbuild/2003"> + <PropertyGroup> + <Configuration Condition=" '$(Configuration)' == '' ">Debug</Configuration> + <Platform Condition=" '$(Platform)' == '' ">x86</Platform> + <ProductVersion>8.0.30703</ProductVersion> + <SchemaVersion>2.0</SchemaVersion> + <ProjectGuid>{c75e47a0-e88d-4035-9ebf-f6647af92b79}</ProjectGuid> + <OutputType>Exe</OutputType> + <RootNamespace>Language</RootNamespace> + <AssemblyName>Forro</AssemblyName> + <TargetFrameworkVersion>v4.0</TargetFrameworkVersion> + <TargetFrameworkProfile>Client</TargetFrameworkProfile> + <Name>Language</Name> + </PropertyGroup> + <PropertyGroup Condition=" '$(Configuration)|$(Platform)' == 'Debug|x86' "> + <DebugSymbols>true</DebugSymbols> + <DebugType>full</DebugType> + <Optimize>false</Optimize> + <Tailcalls>false</Tailcalls> + <OutputPath>bin\Debug\</OutputPath> + <DefineConstants>DEBUG;TRACE</DefineConstants> + <WarningLevel>3</WarningLevel> + <PlatformTarget>x86</PlatformTarget> + <DocumentationFile>bin\Debug\Language.XML</DocumentationFile> + </PropertyGroup> + <PropertyGroup Condition=" '$(Configuration)|$(Platform)' == 'Release|x86' "> + <DebugType>pdbonly</DebugType> + <Optimize>true</Optimize> + <Tailcalls>true</Tailcalls> + <OutputPath>bin\Release\</OutputPath> + <DefineConstants>TRACE</DefineConstants> + <WarningLevel>3</WarningLevel> + <PlatformTarget>x86</PlatformTarget> + <DocumentationFile>bin\Release\Language.XML</DocumentationFile> + </PropertyGroup> + <Import Project="$(MSBuildExtensionsPath32)\..\Microsoft F#\v4.0\Microsoft.FSharp.Targets" /> + <Import Project="$(MSBuildExtensionsPath32)\..\FSharpPowerPack-2.0.0.0\bin\FSharp.PowerPack.targets" /> + <PropertyGroup> + <FsLexOutputFolder>$(IntermediateOutputPath)</FsLexOutputFolder> + <FsYaccOutputFolder>$(IntermediateOutputPath)</FsYaccOutputFolder> + </PropertyGroup> + <ItemGroup> + <Compile Include="Ast.fs" /> + <Compile Include="$(IntermediateOutputPath)\Parser.fs"> + <Visible>false</Visible> + <Link>Parser.fs</Link> + </Compile> + <Compile Include="$(IntermediateOutputPath)\Lexer.fs"> + <Visible>false</Visible> + <Link>Lexer.fs</Link> + </Compile> + <FsYacc Include="Parser.fsy"> + <OtherFlags>--module Parser</OtherFlags> + </FsYacc> + <FsLex Include="Lexer.fsl"> + <OtherFlags>--unicode</OtherFlags> + </FsLex> + <Compile Include="Printer.fs" /> + <Compile Include="Resolver.fs" /> + <Compile Include="BoogieAst.fs" /> + <Compile Include="BoogiePrinter.fs" /> + <Compile Include="Translator.fs" /> + <Compile Include="Main.fs" /> + </ItemGroup> + <ItemGroup> + <Reference Include="FSharp.PowerPack"> + <HintPath>C:\Program Files\FSharpPowerPack-1.9.9.9\bin\FSharp.PowerPack.dll</HintPath> + </Reference> + <Reference Include="mscorlib" /> + <Reference Include="FSharp.Core" /> + <Reference Include="System" /> + <Reference Include="System.Core" /> + <Reference Include="System.Numerics" /> + </ItemGroup> + <!-- To modify your build process, add your task inside one of the targets below and uncomment it. + Other similar extension points exist, see Microsoft.Common.targets. + <Target Name="BeforeBuild"> + </Target> + <Target Name="AfterBuild"> + </Target> + --> </Project>
\ No newline at end of file diff --git a/Source/Forro/Lexer.fsl b/Source/Forro/Lexer.fsl index 4252af23..5f69df7c 100644 --- a/Source/Forro/Lexer.fsl +++ b/Source/Forro/Lexer.fsl @@ -1,60 +1,60 @@ -{
-module Lexer
-open System
-open Parser
-open Microsoft.FSharp.Text.Lexing
-}
-
-// These are some regular expression definitions
-let digit = ['0'-'9']
-let nondigit = [ 'a'-'z' 'A'-'Z' '_' ]
-let idchar = (nondigit | digit)
-let whitespace = [' ' '\t' ]
-let newline = ('\n' | '\r' '\n')
-
-rule tokenize = parse
-| whitespace { tokenize lexbuf }
-| newline { // lexbuf.EndPos <- lexbuf.EndPos.AsNewLinePos() ;
- tokenize lexbuf }
-// operators
-| "==" { EQ }
-| "!=" { NEQ }
-| "+" { PLUS }
-| "-" { MINUS }
-| "*" { STAR }
-| "<" { LESS }
-| "<=" { ATMOST }
-| "and" { AND }
-| "or" { OR }
-| "not" { NOT }
-| "old" { OLD }
-| "." { DOT }
-// misc
-| "(" { LPAREN }
-| ")" { RPAREN }
-| "{" { LCURLY }
-| "}" { RCURLY }
-| ";" { SEMI }
-| "," { COMMA }
-| ":=" { ASSIGN }
-// keywords
-| "procedure" { PROCEDURE }
-| "requires" { REQUIRES }
-| "ensures" { ENSURES }
-| "do" { DO }
-| "end" { END }
-| "new" { NEW }
-| "if" { IF }
-| "then" { THEN }
-| "else" { ELSE }
-| "while" { WHILE }
-| "invariant" { INVARIANT }
-| "call" { CALL }
-| "assert" { ASSERT }
-// literals
-| ['-']?digit+ { INT32 (Int32.Parse(LexBuffer<char>.LexemeString lexbuf)) }
-| "null" { NULL }
-// identifiers
-| idchar+ { ID (LexBuffer<char>.LexemeString lexbuf) }
-// EOF
-| eof { EOF }
+{ +module Lexer +open System +open Parser +open Microsoft.FSharp.Text.Lexing +} + +// These are some regular expression definitions +let digit = ['0'-'9'] +let nondigit = [ 'a'-'z' 'A'-'Z' '_' ] +let idchar = (nondigit | digit) +let whitespace = [' ' '\t' ] +let newline = ('\n' | '\r' '\n') + +rule tokenize = parse +| whitespace { tokenize lexbuf } +| newline { // lexbuf.EndPos <- lexbuf.EndPos.AsNewLinePos() ; + tokenize lexbuf } +// operators +| "==" { EQ } +| "!=" { NEQ } +| "+" { PLUS } +| "-" { MINUS } +| "*" { STAR } +| "<" { LESS } +| "<=" { ATMOST } +| "and" { AND } +| "or" { OR } +| "not" { NOT } +| "old" { OLD } +| "." { DOT } +// misc +| "(" { LPAREN } +| ")" { RPAREN } +| "{" { LCURLY } +| "}" { RCURLY } +| ";" { SEMI } +| "," { COMMA } +| ":=" { ASSIGN } +// keywords +| "procedure" { PROCEDURE } +| "requires" { REQUIRES } +| "ensures" { ENSURES } +| "do" { DO } +| "end" { END } +| "new" { NEW } +| "if" { IF } +| "then" { THEN } +| "else" { ELSE } +| "while" { WHILE } +| "invariant" { INVARIANT } +| "call" { CALL } +| "assert" { ASSERT } +// literals +| ['-']?digit+ { INT32 (Int32.Parse(LexBuffer<char>.LexemeString lexbuf)) } +| "null" { NULL } +// identifiers +| idchar+ { ID (LexBuffer<char>.LexemeString lexbuf) } +// EOF +| eof { EOF } diff --git a/Source/Forro/Main.fs b/Source/Forro/Main.fs index 3b0f550f..07d1a12e 100644 --- a/Source/Forro/Main.fs +++ b/Source/Forro/Main.fs @@ -1,57 +1,57 @@ -open System
-open Microsoft.FSharp.Text.Lexing
-
-open System.IO
-
-open ForroPrinter
-open Resolver
-open Lexer
-open Parser
-open BoogiePrinter
-
-open Translator
-
-let readAndProcess tracing (filename: string) =
- try
- if tracing then printfn "Forró: version 1.0" else ()
- // lex
- let f = if filename = null then Console.In else new StreamReader(filename) :> TextReader
- let lexbuf = LexBuffer<char>.FromTextReader(f)
- lexbuf.EndPos <- { pos_bol = 0;
- pos_fname=if filename = null then "stdin" else filename;
- pos_cnum=0;
- pos_lnum=1 }
- // parse
- let prog = Parser.start Lexer.tokenize lexbuf
- // print the given Forró program
- if tracing then
- printfn "---------- Given Forró program ----------"
- Print prog
- else ()
- // make sure the program is legal
- let rprog = Resolve prog
- // translate into Boogie
- let bprog = Translate rprog
- // print the Boogie program
- if tracing then printfn "---------- Resulting Boogie program ----------" else ()
- BPrint bprog
- // that's it
- if tracing then printfn "----------" ; printfn "Done" else ()
-
- with
- | ResolutionError(msg) ->
- printfn "Resolution error: %s" msg
- | ex ->
- printfn "Unhandled Exception: %s" ex.Message
-
-let rec start n (args: string []) tracing filename =
- if n < args.Length then
- let arg = args.[n]
- if arg = "/break" then ignore (System.Diagnostics.Debugger.Launch()) else ()
- let filename = if arg.StartsWith "/" then filename else arg
- start (n+1) args (tracing || arg = "/trace") filename
- else
- readAndProcess tracing filename
-
-let args = Environment.GetCommandLineArgs()
-start 1 args false null
+open System +open Microsoft.FSharp.Text.Lexing + +open System.IO + +open ForroPrinter +open Resolver +open Lexer +open Parser +open BoogiePrinter + +open Translator + +let readAndProcess tracing (filename: string) = + try + if tracing then printfn "Forró: version 1.0" else () + // lex + let f = if filename = null then Console.In else new StreamReader(filename) :> TextReader + let lexbuf = LexBuffer<char>.FromTextReader(f) + lexbuf.EndPos <- { pos_bol = 0; + pos_fname=if filename = null then "stdin" else filename; + pos_cnum=0; + pos_lnum=1 } + // parse + let prog = Parser.start Lexer.tokenize lexbuf + // print the given Forró program + if tracing then + printfn "---------- Given Forró program ----------" + Print prog + else () + // make sure the program is legal + let rprog = Resolve prog + // translate into Boogie + let bprog = Translate rprog + // print the Boogie program + if tracing then printfn "---------- Resulting Boogie program ----------" else () + BPrint bprog + // that's it + if tracing then printfn "----------" ; printfn "Done" else () + + with + | ResolutionError(msg) -> + printfn "Resolution error: %s" msg + | ex -> + printfn "Unhandled Exception: %s" ex.Message + +let rec start n (args: string []) tracing filename = + if n < args.Length then + let arg = args.[n] + if arg = "/break" then ignore (System.Diagnostics.Debugger.Launch()) else () + let filename = if arg.StartsWith "/" then filename else arg + start (n+1) args (tracing || arg = "/trace") filename + else + readAndProcess tracing filename + +let args = Environment.GetCommandLineArgs() +start 1 args false null diff --git a/Source/Forro/Parser.fsy b/Source/Forro/Parser.fsy index 5dbb8a4c..af64d267 100644 --- a/Source/Forro/Parser.fsy +++ b/Source/Forro/Parser.fsy @@ -1,122 +1,122 @@ -%{
-
-open Forro
-
-exception ParseError of string
-
-let StringsToVariables ss = [ for s in ss -> Var(s) ]
-
-let IdToField id =
- match id with
- | "head" -> Field.Head
- | "tail" -> Field.Tail
- | "valid" -> Field.Valid
- | _ -> raise (ParseError ("illegal field selector: '" + id + "' (legal selectors are 'head', 'tail', and 'valid')"))
-
-%}
-
-// The start token becomes a parser function in the compiled code:
-%start start
-
-// These are the terminal tokens of the grammar along with the types of
-// the data carried by each token:
-%token <string> ID
-%token <System.Int32> INT32
-%token NULL
-%token DOT
-%token NOT
-%token STAR
-%token PLUS MINUS
-%token EQ NEQ LESS ATMOST
-%token AND OR
-%token OLD LPAREN RPAREN LCURLY RCURLY SEMI COMMA ASSIGN
-%token PROCEDURE REQUIRES ENSURES DO END
-%token NEW IF THEN ELSE WHILE INVARIANT CALL ASSERT
-%token EOF
-
-// This is the type of the data produced by a successful reduction of the 'start'
-// symbol:
-%type < Forro.Program > start
-
-%%
-
-// These are the rules of the grammar along with the F# code of the
-// actions executed as rules are reduced. In this case the actions
-// produce data using F# data construction terms.
-start: Prog EOF { Prog(List.rev($1)) }
-
-Prog: Proc { [$1] }
- | Prog Proc { $2 :: $1 }
-
-Proc:
- PROCEDURE Signature ProcedureSpec
- DO StmtList END SEMI
- { match $2, $3 with (outs,id,ins), (req,ens) -> Proc(id, StringsToVariables ins, StringsToVariables outs, req, ens, $5) }
-
-ProcedureSpec:
- REQUIRES Expression ENSURES Expression { $2, $4 }
-
-Signature:
- ID LPAREN IdList RPAREN { [], $1, $3 }
- | ID LPAREN RPAREN { [], $1, [] }
- | IdList ASSIGN ID LPAREN IdList RPAREN { $1, $3, $5 }
- | IdList ASSIGN ID LPAREN RPAREN { $1, $3, [] }
-
-IdList: ID { [$1] }
- | ID COMMA IdList { $1 :: $3 }
-
-Expression:
- AtomicExpr { $1 }
- | NOT Expression { Not($2) }
- | Expression PLUS Expression { Binary(Operator.Plus, $1, $3) }
- | Expression MINUS Expression { Binary(Operator.Minus, $1, $3) }
- | Expression STAR Expression { Binary(Operator.Times, $1, $3) }
- | Expression EQ Expression { Binary(Operator.Eq, $1, $3) }
- | Expression NEQ Expression { Binary(Operator.Neq, $1, $3) }
- | Expression LESS Expression { Binary(Operator.Less, $1, $3) }
- | Expression ATMOST Expression { Binary(Operator.AtMost, $1, $3) }
- | Expression AND Expression { Binary(Operator.And, $1, $3) }
- | Expression OR Expression { Binary(Operator.Or, $1, $3) }
-
-AtomicExpr:
- INT32 { Constant($1) }
- | NULL { Null }
- | ID { Identifier(Var($1)) }
- | OLD LPAREN Expression RPAREN { Old($3) }
- | LPAREN Expression RPAREN { $2 }
- | FieldSelect { match $1 with e,f -> Select(e,f) }
-
-FieldSelect:
- AtomicExpr DOT ID { $1, IdToField $3 }
-
-ExprList:
- | Expression { [$1] }
- | Expression COMMA ExprList { $1::$3 }
-
-VarList:
- | ID ASSIGN { [Var($1)] }
- | ID COMMA VarList { Var($1)::$3 }
-
-StmtList:
- StmtListX { Block($1) }
-
-StmtListX:
- { [] }
- | Stmt StmtListX { $1::$2 }
-
-Stmt:
- ID ASSIGN Expression SEMI { Assign(Var($1), $3) }
- | ID ASSIGN NEW LPAREN Expression COMMA
- Expression RPAREN SEMI { Alloc(Var($1), $5, $7) }
- | FieldSelect ASSIGN Expression SEMI { match $1 with e,f -> Update(e, f, $3) }
- | IF Expression THEN StmtList ELSE StmtList END SEMI { IfStmt($2,$4,$6) }
- | WHILE Expression Invariants DO StmtList END SEMI { WhileStmt($2,$3,$5) }
- | CALL ID LPAREN RPAREN SEMI { CallStmt([],$2,[]) }
- | CALL ID LPAREN ExprList RPAREN SEMI { CallStmt([],$2,$4) }
- | CALL VarList ID LPAREN RPAREN SEMI { CallStmt($2,$3,[]) }
- | CALL VarList ID LPAREN ExprList RPAREN SEMI { CallStmt($2,$3,$5) }
- | ASSERT Expression SEMI { Assert($2) }
-
-Invariants:
- { [] }
- | INVARIANT Expression Invariants { $2::$3 }
+%{ + +open Forro + +exception ParseError of string + +let StringsToVariables ss = [ for s in ss -> Var(s) ] + +let IdToField id = + match id with + | "head" -> Field.Head + | "tail" -> Field.Tail + | "valid" -> Field.Valid + | _ -> raise (ParseError ("illegal field selector: '" + id + "' (legal selectors are 'head', 'tail', and 'valid')")) + +%} + +// The start token becomes a parser function in the compiled code: +%start start + +// These are the terminal tokens of the grammar along with the types of +// the data carried by each token: +%token <string> ID +%token <System.Int32> INT32 +%token NULL +%token DOT +%token NOT +%token STAR +%token PLUS MINUS +%token EQ NEQ LESS ATMOST +%token AND OR +%token OLD LPAREN RPAREN LCURLY RCURLY SEMI COMMA ASSIGN +%token PROCEDURE REQUIRES ENSURES DO END +%token NEW IF THEN ELSE WHILE INVARIANT CALL ASSERT +%token EOF + +// This is the type of the data produced by a successful reduction of the 'start' +// symbol: +%type < Forro.Program > start + +%% + +// These are the rules of the grammar along with the F# code of the +// actions executed as rules are reduced. In this case the actions +// produce data using F# data construction terms. +start: Prog EOF { Prog(List.rev($1)) } + +Prog: Proc { [$1] } + | Prog Proc { $2 :: $1 } + +Proc: + PROCEDURE Signature ProcedureSpec + DO StmtList END SEMI + { match $2, $3 with (outs,id,ins), (req,ens) -> Proc(id, StringsToVariables ins, StringsToVariables outs, req, ens, $5) } + +ProcedureSpec: + REQUIRES Expression ENSURES Expression { $2, $4 } + +Signature: + ID LPAREN IdList RPAREN { [], $1, $3 } + | ID LPAREN RPAREN { [], $1, [] } + | IdList ASSIGN ID LPAREN IdList RPAREN { $1, $3, $5 } + | IdList ASSIGN ID LPAREN RPAREN { $1, $3, [] } + +IdList: ID { [$1] } + | ID COMMA IdList { $1 :: $3 } + +Expression: + AtomicExpr { $1 } + | NOT Expression { Not($2) } + | Expression PLUS Expression { Binary(Operator.Plus, $1, $3) } + | Expression MINUS Expression { Binary(Operator.Minus, $1, $3) } + | Expression STAR Expression { Binary(Operator.Times, $1, $3) } + | Expression EQ Expression { Binary(Operator.Eq, $1, $3) } + | Expression NEQ Expression { Binary(Operator.Neq, $1, $3) } + | Expression LESS Expression { Binary(Operator.Less, $1, $3) } + | Expression ATMOST Expression { Binary(Operator.AtMost, $1, $3) } + | Expression AND Expression { Binary(Operator.And, $1, $3) } + | Expression OR Expression { Binary(Operator.Or, $1, $3) } + +AtomicExpr: + INT32 { Constant($1) } + | NULL { Null } + | ID { Identifier(Var($1)) } + | OLD LPAREN Expression RPAREN { Old($3) } + | LPAREN Expression RPAREN { $2 } + | FieldSelect { match $1 with e,f -> Select(e,f) } + +FieldSelect: + AtomicExpr DOT ID { $1, IdToField $3 } + +ExprList: + | Expression { [$1] } + | Expression COMMA ExprList { $1::$3 } + +VarList: + | ID ASSIGN { [Var($1)] } + | ID COMMA VarList { Var($1)::$3 } + +StmtList: + StmtListX { Block($1) } + +StmtListX: + { [] } + | Stmt StmtListX { $1::$2 } + +Stmt: + ID ASSIGN Expression SEMI { Assign(Var($1), $3) } + | ID ASSIGN NEW LPAREN Expression COMMA + Expression RPAREN SEMI { Alloc(Var($1), $5, $7) } + | FieldSelect ASSIGN Expression SEMI { match $1 with e,f -> Update(e, f, $3) } + | IF Expression THEN StmtList ELSE StmtList END SEMI { IfStmt($2,$4,$6) } + | WHILE Expression Invariants DO StmtList END SEMI { WhileStmt($2,$3,$5) } + | CALL ID LPAREN RPAREN SEMI { CallStmt([],$2,[]) } + | CALL ID LPAREN ExprList RPAREN SEMI { CallStmt([],$2,$4) } + | CALL VarList ID LPAREN RPAREN SEMI { CallStmt($2,$3,[]) } + | CALL VarList ID LPAREN ExprList RPAREN SEMI { CallStmt($2,$3,$5) } + | ASSERT Expression SEMI { Assert($2) } + +Invariants: + { [] } + | INVARIANT Expression Invariants { $2::$3 } diff --git a/Source/Forro/Printer.fs b/Source/Forro/Printer.fs index 2a9eac84..d168e094 100644 --- a/Source/Forro/Printer.fs +++ b/Source/Forro/Printer.fs @@ -1,107 +1,107 @@ -module ForroPrinter
-
-open System
-open Forro
-
-let PrintField f =
- printf "."
- match f with
- | Head -> printf "head"
- | Tail -> printf "tail"
- | Valid -> printf "valid"
-
-let PrintOp op =
- printf " "
- match op with
- | Eq -> printf "=="
- | Neq -> printf "!="
- | Plus -> printf "+"
- | Minus -> printf "-"
- | Times -> printf "*"
- | Less -> printf "<"
- | AtMost -> printf "<="
- | And -> printf "and"
- | Or -> printf "or"
- printf " "
-
-let rec PrintExpr e outermost =
- match e with
- | Constant(x) -> printf "%i" x
- | Null -> printf "null"
- | Identifier(Var(x)) -> printf "%s" x
- | Not(e) -> printf "not(" ; PrintExpr e true ; printf ")"
- | Binary(op,a,b) ->
- if outermost then () else printf "("
- PrintExpr a false ; PrintOp op ; PrintExpr b false
- if outermost then () else printf ")"
- | Select(e,f) -> PrintExpr e false ; PrintField f
- | Old(e) -> printf "old(" ; PrintExpr e true ; printf ")"
-
-let rec Indent n =
- if n = 0 then () else printf " " ; Indent (n-1)
-
-let rec PrintStmt indent s =
- Indent indent
- let ind = indent + 2
- match s with
- | Assign(Var(x), e) -> printf "%s" x ; printf " := " ; PrintExpr e true
- | Update(obj,f,rhs) -> PrintExpr obj false ; PrintField f ; printf " := " ; PrintExpr rhs true
- | Alloc(Var(x),hd,tl) -> printf "%s" x ; printf " := new (" ; PrintExpr hd false ; printf ", " ; PrintExpr tl false ; printf ")"
- | IfStmt(guard,thn,els) ->
- printf "if " ; PrintExpr guard true ; printfn " then"
- PrintStmtList ind thn
- Indent indent ; printfn "else"
- PrintStmtList ind els
- Indent indent ; printf "end"
- | WhileStmt(guard,invs,body) ->
- printf "while " ; PrintExpr guard true ; printfn ""
- List.iter (fun inv -> Indent ind ; printf "invariant " ; PrintExpr inv true ; printfn "") invs
- Indent indent ; printfn "do"
- PrintStmtList ind body
- Indent indent ; printf "end"
- | CallStmt(outs,id,ins) ->
- printf "call "
- if outs.IsEmpty then () else
- ignore (List.fold (fun sep v -> printf "%s%s" sep (VarName v) ; ", ") "" outs) ; printf " :="
- printf " %s" id
- printf "("
- ignore (List.fold (fun sep e -> printf "%s" sep ; PrintExpr e false ; ", ") "" ins)
- printf ")"
- | Assert(e) ->
- printf "assert " ; PrintExpr e true
- printfn ";"
-
-and PrintStmtList indent slist =
- match slist with
- | Block(ss) -> List.iter (fun s -> PrintStmt indent s) ss
-
-let PrintProc p =
- match p with
- | Proc(name, ins, outs, req, ens, body) ->
- // signature
- printf "procedure "
- if outs.IsEmpty then () else
- ignore (List.fold (fun sep v -> printf "%s%s" sep (VarName v) ; ", ") "" outs) ; printf " :="
- printf " %s(" name
- ignore (List.fold (fun sep v -> printf "%s%s" sep (VarName v) ; ", ") "" ins)
- printfn ")"
- // specification
- printf " requires "
- PrintExpr req true
- printfn ""
- printf " ensures "
- PrintExpr ens true
- printfn ""
- // body
- printfn "do"
- PrintStmtList 2 body
- printfn "end;"
-
-let rec PrintProcs ps =
- match ps with
- | [] -> ()
- | p::rest -> PrintProc p ; PrintProcs rest
-
-let Print prog =
- match prog with
- | Prog(procs) -> PrintProcs procs
+module ForroPrinter + +open System +open Forro + +let PrintField f = + printf "." + match f with + | Head -> printf "head" + | Tail -> printf "tail" + | Valid -> printf "valid" + +let PrintOp op = + printf " " + match op with + | Eq -> printf "==" + | Neq -> printf "!=" + | Plus -> printf "+" + | Minus -> printf "-" + | Times -> printf "*" + | Less -> printf "<" + | AtMost -> printf "<=" + | And -> printf "and" + | Or -> printf "or" + printf " " + +let rec PrintExpr e outermost = + match e with + | Constant(x) -> printf "%i" x + | Null -> printf "null" + | Identifier(Var(x)) -> printf "%s" x + | Not(e) -> printf "not(" ; PrintExpr e true ; printf ")" + | Binary(op,a,b) -> + if outermost then () else printf "(" + PrintExpr a false ; PrintOp op ; PrintExpr b false + if outermost then () else printf ")" + | Select(e,f) -> PrintExpr e false ; PrintField f + | Old(e) -> printf "old(" ; PrintExpr e true ; printf ")" + +let rec Indent n = + if n = 0 then () else printf " " ; Indent (n-1) + +let rec PrintStmt indent s = + Indent indent + let ind = indent + 2 + match s with + | Assign(Var(x), e) -> printf "%s" x ; printf " := " ; PrintExpr e true + | Update(obj,f,rhs) -> PrintExpr obj false ; PrintField f ; printf " := " ; PrintExpr rhs true + | Alloc(Var(x),hd,tl) -> printf "%s" x ; printf " := new (" ; PrintExpr hd false ; printf ", " ; PrintExpr tl false ; printf ")" + | IfStmt(guard,thn,els) -> + printf "if " ; PrintExpr guard true ; printfn " then" + PrintStmtList ind thn + Indent indent ; printfn "else" + PrintStmtList ind els + Indent indent ; printf "end" + | WhileStmt(guard,invs,body) -> + printf "while " ; PrintExpr guard true ; printfn "" + List.iter (fun inv -> Indent ind ; printf "invariant " ; PrintExpr inv true ; printfn "") invs + Indent indent ; printfn "do" + PrintStmtList ind body + Indent indent ; printf "end" + | CallStmt(outs,id,ins) -> + printf "call " + if outs.IsEmpty then () else + ignore (List.fold (fun sep v -> printf "%s%s" sep (VarName v) ; ", ") "" outs) ; printf " :=" + printf " %s" id + printf "(" + ignore (List.fold (fun sep e -> printf "%s" sep ; PrintExpr e false ; ", ") "" ins) + printf ")" + | Assert(e) -> + printf "assert " ; PrintExpr e true + printfn ";" + +and PrintStmtList indent slist = + match slist with + | Block(ss) -> List.iter (fun s -> PrintStmt indent s) ss + +let PrintProc p = + match p with + | Proc(name, ins, outs, req, ens, body) -> + // signature + printf "procedure " + if outs.IsEmpty then () else + ignore (List.fold (fun sep v -> printf "%s%s" sep (VarName v) ; ", ") "" outs) ; printf " :=" + printf " %s(" name + ignore (List.fold (fun sep v -> printf "%s%s" sep (VarName v) ; ", ") "" ins) + printfn ")" + // specification + printf " requires " + PrintExpr req true + printfn "" + printf " ensures " + PrintExpr ens true + printfn "" + // body + printfn "do" + PrintStmtList 2 body + printfn "end;" + +let rec PrintProcs ps = + match ps with + | [] -> () + | p::rest -> PrintProc p ; PrintProcs rest + +let Print prog = + match prog with + | Prog(procs) -> PrintProcs procs diff --git a/Source/Forro/Resolver.fs b/Source/Forro/Resolver.fs index f227a5ca..9209f640 100644 --- a/Source/Forro/Resolver.fs +++ b/Source/Forro/Resolver.fs @@ -1,123 +1,123 @@ -module Resolver
-
-open System
-open Forro
-
-exception ResolutionError of string
-
-let ResolutionError(s: string) =
- raise (ResolutionError s)
-
-type VarKind = InParam | OutParam | Local
-
-type Context(procedures: Collections.Generic.IDictionary<string,Procedure>) =
- let mutable locals = null
- let mutable ProcName = ""
- member c.Procedures = procedures
- member c.StartNewProcedure procName =
- ProcName <- procName
- locals <- new Collections.Generic.Dictionary<string,VarKind>()
- member c.AddLocal v kind =
- let name = VarName v
- if locals.ContainsKey name then ResolutionError ("duplicate variable '" + name + "' in procedure '" + ProcName + "'") else ()
- locals.Add(name, kind)
- member c.HasLocal v =
- locals.ContainsKey (VarName v)
- member c.IncludeAssignmentTarget v =
- let name = VarName v
- if locals.ContainsKey name then
- let kind = locals.Item name
- if kind = VarKind.InParam then ResolutionError ("variable '"+ name + "' is an in-parameter, which cannot be used as an assignment target") else ()
- else
- locals.Add(name, VarKind.Local)
- member v.GetLocals = locals
-
-let rec ResolveExpr (ctx: Context) expr twoState specContext =
- match expr with
- | Constant(x) -> ()
- | Null -> ()
- | Identifier(v) ->
- if ctx.HasLocal v then () else ResolutionError ("undefined variable: " + VarName v)
- | Not(e) -> ResolveExpr ctx e twoState specContext
- | Binary(op,a,b) ->
- ResolveExpr ctx a twoState specContext
- ResolveExpr ctx b twoState specContext
- | Select(e,f) ->
- ResolveExpr ctx e twoState specContext
- match f with
- | Valid -> if specContext then () else ResolutionError "valid can only be used in specification contexts"
- | _ -> ()
- | Old(e) ->
- if twoState then () else ResolutionError "old expressions can only be used in two-state contexts"
- ResolveExpr ctx e twoState specContext
-
-let rec ResolveStmt ctx s =
- match s with
- | Assign(v, e) ->
- ResolveExpr ctx e false false
- ctx.IncludeAssignmentTarget v
- | Update(obj,f,rhs) ->
- ResolveExpr ctx obj false false
- match f with
- | Valid -> ResolutionError "valid can only be used in specification contexts (in particular, it cannot be assigned to)"
- | _ -> ()
- ResolveExpr ctx rhs false false
- | Alloc(v,hd,tl) ->
- ResolveExpr ctx hd false false
- ResolveExpr ctx tl false false
- ctx.IncludeAssignmentTarget v
- | IfStmt(guard,thn,els) ->
- ResolveExpr ctx guard false false
- ResolveStmtList ctx thn
- ResolveStmtList ctx els
- | WhileStmt(guard,invs,body) ->
- ResolveExpr ctx guard false false
- List.iter (fun inv -> ResolveExpr ctx inv true true) invs
- ResolveStmtList ctx body
- | CallStmt(outs,name,ins) ->
- if ctx.Procedures.ContainsKey name then () else ResolutionError ("call to undefined procedure: " + name)
- match ctx.Procedures.Item name with
- | Proc(_,fIns,fOuts,_,_,_) ->
- if fIns.Length = ins.Length then () else ResolutionError ("call to " + name + " has wrong number of in-parameters (got " + ins.Length.ToString() + ", expected " + fIns.Length.ToString() + ")")
- if fOuts.Length = outs.Length then () else ResolutionError ("call to " + name + " has wrong number of out-parameters (got " + outs.Length.ToString() + ", expected " + fOuts.Length.ToString() + ")")
- List.iter (fun e -> ResolveExpr ctx e false false) ins
- let outnames = new Collections.Generic.Dictionary<string,Variable>()
- List.iter (fun v ->
- ctx.IncludeAssignmentTarget v
- let name = VarName v
- if outnames.ContainsKey name then ResolutionError ("an actual out-parameter is allowed only once for a call: " + name) else ()
- outnames.Add(name, v)
- ) outs
- | Assert(e) ->
- ResolveExpr ctx e true true
-
-and ResolveStmtList ctx slist =
- match slist with
- | Block(ss) -> List.iter (fun s -> ResolveStmt ctx s) ss
-
-let ProcedureName p =
- match p with Proc(id,_,_,_,_,_) -> id
-
-let ResolveProc (ctx: Context) p =
- match p with
- | Proc(name, ins, outs, req, ens, body) ->
- // look up 'name' in ctx.Procedures, report an error if it is not 'p'
- let q = ctx.Procedures.Item name
- if p <> q then ResolutionError ("duplicate procedure: " + name) else ()
- ctx.StartNewProcedure name
- // look for duplicates in ins+outs
- List.iter (fun v -> ctx.AddLocal v VarKind.InParam) ins
- List.iter (fun v -> ctx.AddLocal v VarKind.OutParam) outs
- // resolve specification
- ResolveExpr ctx req false true
- ResolveExpr ctx ens true true
- // resolve body
- ResolveStmtList ctx body
- ctx.GetLocals
-
-let Resolve prog =
- match prog with
- | Prog(procs) ->
- let procedures = dict [ for p in procs -> ProcedureName p, p ]
- let ctx = Context(procedures)
- List.map (fun p -> p, ResolveProc ctx p) procs
+module Resolver + +open System +open Forro + +exception ResolutionError of string + +let ResolutionError(s: string) = + raise (ResolutionError s) + +type VarKind = InParam | OutParam | Local + +type Context(procedures: Collections.Generic.IDictionary<string,Procedure>) = + let mutable locals = null + let mutable ProcName = "" + member c.Procedures = procedures + member c.StartNewProcedure procName = + ProcName <- procName + locals <- new Collections.Generic.Dictionary<string,VarKind>() + member c.AddLocal v kind = + let name = VarName v + if locals.ContainsKey name then ResolutionError ("duplicate variable '" + name + "' in procedure '" + ProcName + "'") else () + locals.Add(name, kind) + member c.HasLocal v = + locals.ContainsKey (VarName v) + member c.IncludeAssignmentTarget v = + let name = VarName v + if locals.ContainsKey name then + let kind = locals.Item name + if kind = VarKind.InParam then ResolutionError ("variable '"+ name + "' is an in-parameter, which cannot be used as an assignment target") else () + else + locals.Add(name, VarKind.Local) + member v.GetLocals = locals + +let rec ResolveExpr (ctx: Context) expr twoState specContext = + match expr with + | Constant(x) -> () + | Null -> () + | Identifier(v) -> + if ctx.HasLocal v then () else ResolutionError ("undefined variable: " + VarName v) + | Not(e) -> ResolveExpr ctx e twoState specContext + | Binary(op,a,b) -> + ResolveExpr ctx a twoState specContext + ResolveExpr ctx b twoState specContext + | Select(e,f) -> + ResolveExpr ctx e twoState specContext + match f with + | Valid -> if specContext then () else ResolutionError "valid can only be used in specification contexts" + | _ -> () + | Old(e) -> + if twoState then () else ResolutionError "old expressions can only be used in two-state contexts" + ResolveExpr ctx e twoState specContext + +let rec ResolveStmt ctx s = + match s with + | Assign(v, e) -> + ResolveExpr ctx e false false + ctx.IncludeAssignmentTarget v + | Update(obj,f,rhs) -> + ResolveExpr ctx obj false false + match f with + | Valid -> ResolutionError "valid can only be used in specification contexts (in particular, it cannot be assigned to)" + | _ -> () + ResolveExpr ctx rhs false false + | Alloc(v,hd,tl) -> + ResolveExpr ctx hd false false + ResolveExpr ctx tl false false + ctx.IncludeAssignmentTarget v + | IfStmt(guard,thn,els) -> + ResolveExpr ctx guard false false + ResolveStmtList ctx thn + ResolveStmtList ctx els + | WhileStmt(guard,invs,body) -> + ResolveExpr ctx guard false false + List.iter (fun inv -> ResolveExpr ctx inv true true) invs + ResolveStmtList ctx body + | CallStmt(outs,name,ins) -> + if ctx.Procedures.ContainsKey name then () else ResolutionError ("call to undefined procedure: " + name) + match ctx.Procedures.Item name with + | Proc(_,fIns,fOuts,_,_,_) -> + if fIns.Length = ins.Length then () else ResolutionError ("call to " + name + " has wrong number of in-parameters (got " + ins.Length.ToString() + ", expected " + fIns.Length.ToString() + ")") + if fOuts.Length = outs.Length then () else ResolutionError ("call to " + name + " has wrong number of out-parameters (got " + outs.Length.ToString() + ", expected " + fOuts.Length.ToString() + ")") + List.iter (fun e -> ResolveExpr ctx e false false) ins + let outnames = new Collections.Generic.Dictionary<string,Variable>() + List.iter (fun v -> + ctx.IncludeAssignmentTarget v + let name = VarName v + if outnames.ContainsKey name then ResolutionError ("an actual out-parameter is allowed only once for a call: " + name) else () + outnames.Add(name, v) + ) outs + | Assert(e) -> + ResolveExpr ctx e true true + +and ResolveStmtList ctx slist = + match slist with + | Block(ss) -> List.iter (fun s -> ResolveStmt ctx s) ss + +let ProcedureName p = + match p with Proc(id,_,_,_,_,_) -> id + +let ResolveProc (ctx: Context) p = + match p with + | Proc(name, ins, outs, req, ens, body) -> + // look up 'name' in ctx.Procedures, report an error if it is not 'p' + let q = ctx.Procedures.Item name + if p <> q then ResolutionError ("duplicate procedure: " + name) else () + ctx.StartNewProcedure name + // look for duplicates in ins+outs + List.iter (fun v -> ctx.AddLocal v VarKind.InParam) ins + List.iter (fun v -> ctx.AddLocal v VarKind.OutParam) outs + // resolve specification + ResolveExpr ctx req false true + ResolveExpr ctx ens true true + // resolve body + ResolveStmtList ctx body + ctx.GetLocals + +let Resolve prog = + match prog with + | Prog(procs) -> + let procedures = dict [ for p in procs -> ProcedureName p, p ] + let ctx = Context(procedures) + List.map (fun p -> p, ResolveProc ctx p) procs diff --git a/Source/Forro/Translator.fs b/Source/Forro/Translator.fs index 4e7be216..db771c96 100644 --- a/Source/Forro/Translator.fs +++ b/Source/Forro/Translator.fs @@ -1,217 +1,217 @@ -module Translator
-
-open Forro
-open BoogieAst
-open Resolver
-open System.Collections.Generic
-
-let rec Append a b =
- match a with
- | [] -> b
- | hd::tl -> hd::(Append tl b)
-
-let rec Flatten a =
- match a with
- | [] -> []
- | list::rest -> Append list (Flatten rest)
-
-// ---------- Prelude ----------
-
-let Prelude =
- @"// Forro
-
-var $head: [int]int; // int -> int
-var $tail: [int]int;
-var $valid: [int]bool; // array int of bool
-
-const null: int;
-
-function GoodState([int]int, [int]int, [int]bool): bool;
-
-axiom (forall hd, tl: [int]int, valid: [int]bool ::
- { GoodState(hd, tl, valid) }
- GoodState(hd, tl, valid) ==> !valid[null]);
-"
-
-// ---------- Translate Expressions ----------
-
-let TrField f =
- match f with
- | Head -> "$head"
- | Tail -> "$tail"
- | Valid -> "$valid"
-
-let AllFields = ["$head" ; "$tail" ; "$valid"]
-
-let MkPred term =
- match term with
- | BToTerm(p) -> p
- | _ -> BToPred(term)
-
-let MkTerm pred =
- match pred with
- | BToPred(e) -> e
- | _ -> BToTerm(pred)
-
-let rec TrExpr expr =
- match expr with
- | Constant(x) -> BConstant x
- | Null -> BNull
- | Identifier(Var(x)) -> BIdentifier(x)
- | Not(e) -> BNot(TrExpr e)
- | Binary(op,a,b) ->
- let a = TrExpr a
- let b = TrExpr b
- match op with
- | Eq -> MkTerm(BBinary(BEq,a,b))
- | Neq -> MkTerm(BBinary(BNeq,a,b))
- | Plus -> BBinary(BPlus,a,b)
- | Minus -> BBinary(BMinus,a,b)
- | Times -> BBinary(BTimes,a,b)
- | Less -> MkTerm(BBinary(BLess,a,b))
- | AtMost -> MkTerm(BBinary(BAtMost,a,b))
- | And -> MkTerm(BBinary(BAnd, MkPred a, MkPred b))
- | Or -> MkTerm(BBinary(BOr, MkPred a, MkPred b))
- | Select(e,f) ->
- let r = BSelect(TrField f, TrExpr e)
- if f = Field.Valid then MkTerm(r) else r
- | Old(e) -> BOld(TrExpr e)
-
-let rec ListToConjunction list =
- match list with
- | [] -> BTrue
- | [P] -> P
- | hd::tl -> BBinary(BAnd, hd, ListToConjunction tl)
-
-let rec DefL expr =
- match expr with
- | Constant(x) -> []
- | Null -> []
- | Identifier(Var(x)) -> []
- | Not(e) -> DefL e
- | Binary(op,a,b) ->
- match op with
- | And -> BBinary(BOr, BNot(MkPred (TrExpr a)), Def b) :: (DefL a) // (Def a) && ((TrExpr a) ==> (Def b))
- | Or -> BBinary(BOr, MkPred (TrExpr a), Def b) :: (DefL a) // (Def a) && (!(TrExpr a) ==> (Def b))
- | _ -> Append (DefL b) (DefL a)
- | Select(e,f) ->
- let def = DefL e
- if f = Field.Valid then def // it is always okay to ask about .valid
- else BSelect("$valid", TrExpr e) :: def
- | Old(e) -> List.map BOld (DefL e)
-
-and Def expr =
- ListToConjunction (List.rev (DefL expr))
-
-let AssumeGoodState =
- BAssume (BFunc("GoodState", List.map BIdentifier AllFields))
-
-// ---------- Translate Statements ----------
-
-type LocalBookkeeping = LB of int * BVarDecl list
-
-let FreshLocal locals =
- match locals with
- | LB(n, vars) ->
- let name = "nw$" + n.ToString()
- (BIdentifier(name), name, LB(n+1, BVar(name, BInt)::vars))
-
-let rec TrStmt stmt locals =
- match stmt with
- | Assign(v,e) ->
- let s = [ BAssert (Def e) ;
- BAssign(VarName v, TrExpr e) ]
- (s, locals)
- | Update(obj,f,rhs) ->
- let o = TrExpr obj
- let s = [ BAssert(Def obj) ; BAssert (Def rhs) ;
- BAssert(BSelect("$valid", o)) ;
- BUpdate(TrField f, o, if f = Field.Valid then MkPred(TrExpr rhs) else TrExpr rhs) ;
- AssumeGoodState ]
- (s, locals)
- | Alloc(v,hd,tl) ->
- let nw, name, locals = FreshLocal locals
- let s = [ BAssert (Def hd) ; BAssert (Def tl) ;
- BHavoc [name] ;
- BAssume(BNot(BSelect("$valid", nw))) ;
- BAssume(BBinary(BEq, BSelect("$head", nw), TrExpr hd)) ;
- BAssume(BBinary(BEq, BSelect("$tail", nw), TrExpr tl)) ;
- BUpdate("$valid", nw, BTrue) ;
- AssumeGoodState ;
- BAssign(VarName v, nw) ]
- (s, locals)
- | IfStmt(guard,thn,els) ->
- let check = BAssert(Def guard)
- let thn, locals = TrStmtList thn locals
- let els, locals = TrStmtList els locals
- let s = BIfStmt(MkPred (TrExpr guard), thn, els)
- ([check ; s], locals)
- | WhileStmt(guard,invs,body) ->
- let ii = [Def guard]
- let ii = List.fold (fun ii -> fun inv -> (MkPred (TrExpr inv))::(Def inv)::ii) ii invs
- let s, locals = TrStmtList body locals
- match s with
- | BBlock(slist) ->
- ([BWhileStmt(MkPred (TrExpr guard), List.rev ii, BBlock(AssumeGoodState::slist)) ; AssumeGoodState], locals)
- | CallStmt(outs,id,ins) ->
- let check = List.map (fun e -> BAssert (Def e)) ins
- let ins = List.map (fun e -> TrExpr e) ins
- let outs = List.map (fun p -> VarName p) outs
- let s = BCallStmt(outs, id + "#Proc", ins)
- (Append check [s ; AssumeGoodState ], locals)
- | Assert(e) ->
- ([ BAssert (Def e) ; BAssert (MkPred (TrExpr e)) ], locals)
-
-and TrStmtList slist locals =
- match slist with
- | Block([]) -> (BBlock [], locals)
- | Block(s::rest) ->
- let s,locals = TrStmt s locals
- let rest,locals = TrStmtList (Block rest) locals
- match rest with
- | BBlock(slist) -> (BBlock(Append s slist), locals)
-
-// ---------- Translate Procedure Body ----------
-
-let TrSignature ins outs =
- let bIns = List.map (fun v -> BVar(VarName v, BInt)) ins
- let bOuts = List.map (fun v -> BVar(VarName v, BInt)) outs
- (bIns, bOuts)
-
-let LocalDecls (vars: Dictionary<string,VarKind>) =
- Flatten [ for kv in vars -> if kv.Value = VarKind.Local then [BVar(kv.Key, BInt)] else [] ]
-
-let TrProc proc vars =
- match proc with
- | Proc(id, ins, outs, req, ens, body) ->
- let bIns, bOuts = TrSignature ins outs
- let pre = MkPred (TrExpr req)
- let post = MkPred (TrExpr ens)
- let locals = LocalDecls vars
- let b, locals = TrStmtList body (LB(0,locals))
- match b, locals with
- | BBlock(slist), LB(n, vars) ->
- BProc(id + "#Proc", bIns, bOuts, pre, AllFields, post,
- List.rev vars, BBlock(AssumeGoodState::slist))
-
-// --------------------
-
-let TrSpec proc vars =
- match proc with
- | Proc(id, ins, outs, req, ens, body) ->
- let bIns, bOuts = TrSignature ins outs
- let b = [ AssumeGoodState ;
- BAssert (Def req) ; BAssume (MkPred (TrExpr req)) ;
- BHavoc AllFields ; AssumeGoodState ;
- BAssert (Def ens) ]
- BProc(id + "#WellFormedSpec", bIns, bOuts, BTrue, AllFields, BTrue, [], BBlock(b))
-
-let TrProcedure rproc =
- match rproc with
- | proc, (vars: Dictionary<string,VarKind>) ->
- let name = ProcedureName proc
- (TrSpec proc vars, TrProc proc vars)
-
-let Translate (rprog: (Procedure * Dictionary<string,VarKind>) list) =
- let procs = List.fold (fun list -> fun (p,q) -> p::q::list) [] (List.map TrProcedure rprog)
- BProg(Prelude, procs)
+module Translator + +open Forro +open BoogieAst +open Resolver +open System.Collections.Generic + +let rec Append a b = + match a with + | [] -> b + | hd::tl -> hd::(Append tl b) + +let rec Flatten a = + match a with + | [] -> [] + | list::rest -> Append list (Flatten rest) + +// ---------- Prelude ---------- + +let Prelude = + @"// Forro + +var $head: [int]int; // int -> int +var $tail: [int]int; +var $valid: [int]bool; // array int of bool + +const null: int; + +function GoodState([int]int, [int]int, [int]bool): bool; + +axiom (forall hd, tl: [int]int, valid: [int]bool :: + { GoodState(hd, tl, valid) } + GoodState(hd, tl, valid) ==> !valid[null]); +" + +// ---------- Translate Expressions ---------- + +let TrField f = + match f with + | Head -> "$head" + | Tail -> "$tail" + | Valid -> "$valid" + +let AllFields = ["$head" ; "$tail" ; "$valid"] + +let MkPred term = + match term with + | BToTerm(p) -> p + | _ -> BToPred(term) + +let MkTerm pred = + match pred with + | BToPred(e) -> e + | _ -> BToTerm(pred) + +let rec TrExpr expr = + match expr with + | Constant(x) -> BConstant x + | Null -> BNull + | Identifier(Var(x)) -> BIdentifier(x) + | Not(e) -> BNot(TrExpr e) + | Binary(op,a,b) -> + let a = TrExpr a + let b = TrExpr b + match op with + | Eq -> MkTerm(BBinary(BEq,a,b)) + | Neq -> MkTerm(BBinary(BNeq,a,b)) + | Plus -> BBinary(BPlus,a,b) + | Minus -> BBinary(BMinus,a,b) + | Times -> BBinary(BTimes,a,b) + | Less -> MkTerm(BBinary(BLess,a,b)) + | AtMost -> MkTerm(BBinary(BAtMost,a,b)) + | And -> MkTerm(BBinary(BAnd, MkPred a, MkPred b)) + | Or -> MkTerm(BBinary(BOr, MkPred a, MkPred b)) + | Select(e,f) -> + let r = BSelect(TrField f, TrExpr e) + if f = Field.Valid then MkTerm(r) else r + | Old(e) -> BOld(TrExpr e) + +let rec ListToConjunction list = + match list with + | [] -> BTrue + | [P] -> P + | hd::tl -> BBinary(BAnd, hd, ListToConjunction tl) + +let rec DefL expr = + match expr with + | Constant(x) -> [] + | Null -> [] + | Identifier(Var(x)) -> [] + | Not(e) -> DefL e + | Binary(op,a,b) -> + match op with + | And -> BBinary(BOr, BNot(MkPred (TrExpr a)), Def b) :: (DefL a) // (Def a) && ((TrExpr a) ==> (Def b)) + | Or -> BBinary(BOr, MkPred (TrExpr a), Def b) :: (DefL a) // (Def a) && (!(TrExpr a) ==> (Def b)) + | _ -> Append (DefL b) (DefL a) + | Select(e,f) -> + let def = DefL e + if f = Field.Valid then def // it is always okay to ask about .valid + else BSelect("$valid", TrExpr e) :: def + | Old(e) -> List.map BOld (DefL e) + +and Def expr = + ListToConjunction (List.rev (DefL expr)) + +let AssumeGoodState = + BAssume (BFunc("GoodState", List.map BIdentifier AllFields)) + +// ---------- Translate Statements ---------- + +type LocalBookkeeping = LB of int * BVarDecl list + +let FreshLocal locals = + match locals with + | LB(n, vars) -> + let name = "nw$" + n.ToString() + (BIdentifier(name), name, LB(n+1, BVar(name, BInt)::vars)) + +let rec TrStmt stmt locals = + match stmt with + | Assign(v,e) -> + let s = [ BAssert (Def e) ; + BAssign(VarName v, TrExpr e) ] + (s, locals) + | Update(obj,f,rhs) -> + let o = TrExpr obj + let s = [ BAssert(Def obj) ; BAssert (Def rhs) ; + BAssert(BSelect("$valid", o)) ; + BUpdate(TrField f, o, if f = Field.Valid then MkPred(TrExpr rhs) else TrExpr rhs) ; + AssumeGoodState ] + (s, locals) + | Alloc(v,hd,tl) -> + let nw, name, locals = FreshLocal locals + let s = [ BAssert (Def hd) ; BAssert (Def tl) ; + BHavoc [name] ; + BAssume(BNot(BSelect("$valid", nw))) ; + BAssume(BBinary(BEq, BSelect("$head", nw), TrExpr hd)) ; + BAssume(BBinary(BEq, BSelect("$tail", nw), TrExpr tl)) ; + BUpdate("$valid", nw, BTrue) ; + AssumeGoodState ; + BAssign(VarName v, nw) ] + (s, locals) + | IfStmt(guard,thn,els) -> + let check = BAssert(Def guard) + let thn, locals = TrStmtList thn locals + let els, locals = TrStmtList els locals + let s = BIfStmt(MkPred (TrExpr guard), thn, els) + ([check ; s], locals) + | WhileStmt(guard,invs,body) -> + let ii = [Def guard] + let ii = List.fold (fun ii -> fun inv -> (MkPred (TrExpr inv))::(Def inv)::ii) ii invs + let s, locals = TrStmtList body locals + match s with + | BBlock(slist) -> + ([BWhileStmt(MkPred (TrExpr guard), List.rev ii, BBlock(AssumeGoodState::slist)) ; AssumeGoodState], locals) + | CallStmt(outs,id,ins) -> + let check = List.map (fun e -> BAssert (Def e)) ins + let ins = List.map (fun e -> TrExpr e) ins + let outs = List.map (fun p -> VarName p) outs + let s = BCallStmt(outs, id + "#Proc", ins) + (Append check [s ; AssumeGoodState ], locals) + | Assert(e) -> + ([ BAssert (Def e) ; BAssert (MkPred (TrExpr e)) ], locals) + +and TrStmtList slist locals = + match slist with + | Block([]) -> (BBlock [], locals) + | Block(s::rest) -> + let s,locals = TrStmt s locals + let rest,locals = TrStmtList (Block rest) locals + match rest with + | BBlock(slist) -> (BBlock(Append s slist), locals) + +// ---------- Translate Procedure Body ---------- + +let TrSignature ins outs = + let bIns = List.map (fun v -> BVar(VarName v, BInt)) ins + let bOuts = List.map (fun v -> BVar(VarName v, BInt)) outs + (bIns, bOuts) + +let LocalDecls (vars: Dictionary<string,VarKind>) = + Flatten [ for kv in vars -> if kv.Value = VarKind.Local then [BVar(kv.Key, BInt)] else [] ] + +let TrProc proc vars = + match proc with + | Proc(id, ins, outs, req, ens, body) -> + let bIns, bOuts = TrSignature ins outs + let pre = MkPred (TrExpr req) + let post = MkPred (TrExpr ens) + let locals = LocalDecls vars + let b, locals = TrStmtList body (LB(0,locals)) + match b, locals with + | BBlock(slist), LB(n, vars) -> + BProc(id + "#Proc", bIns, bOuts, pre, AllFields, post, + List.rev vars, BBlock(AssumeGoodState::slist)) + +// -------------------- + +let TrSpec proc vars = + match proc with + | Proc(id, ins, outs, req, ens, body) -> + let bIns, bOuts = TrSignature ins outs + let b = [ AssumeGoodState ; + BAssert (Def req) ; BAssume (MkPred (TrExpr req)) ; + BHavoc AllFields ; AssumeGoodState ; + BAssert (Def ens) ] + BProc(id + "#WellFormedSpec", bIns, bOuts, BTrue, AllFields, BTrue, [], BBlock(b)) + +let TrProcedure rproc = + match rproc with + | proc, (vars: Dictionary<string,VarKind>) -> + let name = ProcedureName proc + (TrSpec proc vars, TrProc proc vars) + +let Translate (rprog: (Procedure * Dictionary<string,VarKind>) list) = + let procs = List.fold (fun list -> fun (p,q) -> p::q::list) [] (List.map TrProcedure rprog) + BProg(Prelude, procs) |