summaryrefslogtreecommitdiff
path: root/Chalice/src/main/scala/Parser.scala
blob: 9a4cd2722dac804758f0932c25e1a82872685acb (plain)
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141
142
143
144
145
146
147
148
149
150
151
152
153
154
155
156
157
158
159
160
161
162
163
164
165
166
167
168
169
170
171
172
173
174
175
176
177
178
179
180
181
182
183
184
185
186
187
188
189
190
191
192
193
194
195
196
197
198
199
200
201
202
203
204
205
206
207
208
209
210
211
212
213
214
215
216
217
218
219
220
221
222
223
224
225
226
227
228
229
230
231
232
233
234
235
236
237
238
239
240
241
242
243
244
245
246
247
248
249
250
251
252
253
254
255
256
257
258
259
260
261
262
263
264
265
266
267
268
269
270
271
272
273
274
275
276
277
278
279
280
281
282
283
284
285
286
287
288
289
290
291
292
293
294
295
296
297
298
299
300
301
302
303
304
305
306
307
308
309
310
311
312
313
314
315
316
317
318
319
320
321
322
323
324
325
326
327
328
329
330
331
332
333
334
335
336
337
338
339
340
341
342
343
344
345
346
347
348
349
350
351
352
353
354
355
356
357
358
359
360
361
362
363
364
365
366
367
368
369
370
371
372
373
374
375
376
377
378
379
380
381
382
383
384
385
386
387
388
389
390
391
392
393
394
395
396
397
398
399
400
401
402
403
404
405
406
407
408
409
410
411
412
413
414
415
416
417
418
419
420
421
422
423
424
425
426
427
428
429
430
431
432
433
434
435
436
437
438
439
440
441
442
443
444
445
446
447
448
449
450
451
452
453
454
455
456
457
458
459
460
461
462
463
464
465
466
467
468
469
470
471
472
473
474
475
476
477
478
479
480
481
482
483
484
485
486
487
488
489
490
491
492
493
494
495
496
497
498
499
500
501
502
503
504
505
506
507
508
509
510
511
512
513
514
515
516
517
518
519
520
521
522
523
524
525
526
527
528
529
530
531
532
533
534
535
536
537
538
539
540
541
542
543
544
545
546
547
548
549
550
551
552
553
554
555
556
557
558
559
560
561
562
563
564
565
566
567
568
569
570
571
572
573
574
575
576
577
578
579
580
581
582
583
584
585
586
587
588
589
590
591
592
593
594
595
596
597
598
599
600
601
602
603
604
605
606
607
608
609
610
611
612
613
614
615
616
617
618
619
620
621
622
623
624
625
626
627
628
629
630
631
632
633
634
635
636
637
638
639
640
641
642
643
644
645
//-----------------------------------------------------------------------------
//
// Copyright (C) Microsoft Corporation.  All Rights Reserved.
//
//-----------------------------------------------------------------------------
package chalice;
import scala.util.parsing.combinator.syntactical.StandardTokenParsers
import scala.util.parsing.combinator.lexical.StdLexical
import scala.util.parsing.combinator._
import scala.util.parsing.input.PagedSeqReader
import scala.collection.immutable.PagedSeq
import scala.util.parsing.input.Position
import scala.util.parsing.input.Positional
import scala.util.parsing.input.NoPosition
import java.io.File

class Parser extends StandardTokenParsers {

  def parseStdin = phrase(programUnit)(new lexical.Scanner(new PagedSeqReader(PagedSeq fromReader Console.in)))
  def parseFile(file: File) = phrase(programUnit)(new lexical.Scanner(new PagedSeqReader(PagedSeq fromFile file)))
 
  case class PositionedString(v: String) extends Positional
  
  // handle comments already in lexer
  override val lexical = new StdLexical {
    def rp: RegexParsers = new RegexParsers {}
    override val whitespace: Parser[Any] = rp.regex("""(\s|//.*|(?m)/\*(\*(?!/)|[^*])*\*/)*""".r).asInstanceOf[Parser[Any]]
  }
  
  lexical.reserved += ("class", "ghost", "var", "const", "method", "channel", "condition",
                       "assert", "assume", "new", "this", "reorder",
                       "between", "and", "above", "below", "share", "unshare", "acquire", "release", "downgrade",
                       "lock", "fork", "join", "rd", "acc", "credit", "holds", "old", "assigned",
                       "call", "if", "else", "while", "invariant", "lockchange",
                       "returns", "requires", "ensures", "where", "static",
                       "int", "bool", "false", "true", "null", "string", "waitlevel", "lockbottom",
                       "module", "external",
                       "predicate", "function", "free", "send", "receive",
                       "ite", "fold", "unfold", "unfolding", "in", "forall", "exists",
                       "seq", "nil", "result", "eval", "token",
                       "wait", "signal", "unlimited", 
                       "refines", "transforms", "replaces", "by", "spec", "_", "*"
                      )
  // todo: can we remove "nil"?
  lexical.delimiters += ("(", ")", "{", "}", "[[", "]]",
                         "<==>", "==>", "&&", "||",
                         "==", "!=", "<", "<=", ">=", ">", "<<", "in", "!in",
                         "+", "-", "*", "/", "%", "!", ".", "..",
                         ";", ":", ":=", ",", "?", "|", "[", "]", "++", "::"
                        )

  def programUnit = (classDecl | channelDecl)*
  def Semi = ";" ?
  var currentLocalVariables = Set[String]() // used in the method context
  var assumeAllLocals = false;
  var insidePermission = false;

  /**
   * Top level declarations
   */

  def classDecl =
        positioned(("external" ?) ~ ("class" ~> ident) ~ opt("module" ~> ident) ~ opt("refines" ~> ident) ~
                ("{" ~> (memberDecl*) <~ "}") ^^ {
          case ext ~ id ~ module ~ refines ~ members =>
            val cl = Class(id, Nil, module.getOrElse("default"), members)
            if (ext.isDefined) cl.IsExternal = true
            if (refines.isDefined) {cl.IsRefinement = true; cl.refinesId = refines.get}
            cl
        })
  def channelDecl =
    positioned("channel" ~> ident ~ formalParameters(true) ~ ("where" ~> expression ?) <~ Semi ^^ {
      case id ~ ins ~ None => Channel(id, ins, BoolLiteral(true))
      case id ~ ins ~ Some(e) => Channel(id, ins, e)
    })

  /**
   * Member declarations
   */

  def memberDecl = {
    positioned(fieldDecl | invariantDecl | methodDecl | conditionDecl | predicateDecl | functionDecl | couplingDecl | transformDecl) // important that last one is transformDecl
  }
  def fieldDecl = {
    currentLocalVariables = Set[String]();
    ( "var" ~> idType <~ Semi ^^ { case (id,t) => Field(id.v, t, false) }
    | "ghost" ~> "var" ~> idType <~ Semi ^^ { case (id,t) => Field(id.v, t, true) }
    )
  }
  def invariantDecl = {
    currentLocalVariables = Set[String]();
    "invariant" ~> expression <~ Semi ^^ MonitorInvariant
  }
  def methodDecl = {
    currentLocalVariables = Set[String]();
    "method" ~> ident ~ formalParameters(true) ~ ("returns" ~> formalParameters(false) ?) ~
    (methodSpec*) ~ blockStatement ^^ {
      case id ~ ins ~ outs ~ spec ~ body =>
        Method(id, ins, outs match {case None => Nil; case Some(outs) => outs}, spec, body)
    }
  }
  def predicateDecl: Parser[Predicate] = {
    currentLocalVariables = Set[String]();
    ("predicate" ~> ident) ~ ("{" ~> expression <~ "}") ^^ { case id ~ definition => Predicate(id, definition) }
  }
  def functionDecl = {
    currentLocalVariables = Set[String]();
    ("unlimited" ?) ~ ("static" ?) ~ ("function" ~> ident) ~ formalParameters(true) ~ (":" ~> typeDecl) ~ (methodSpec*) ~ opt("{" ~> expression <~ "}") ^^ {
      case u ~ s ~ id ~ ins ~ out ~ specs ~ body => {
        val f = Function(id, ins, out, specs, body);
        if (u.isDefined) f.isUnlimited = true;
        if (s.isDefined) f.isStatic = true;
        f
      }
    }
  }
  def conditionDecl = {
    currentLocalVariables = Set[String]();
    "condition" ~> ident ~ ("where" ~> expression ?) <~ Semi ^^ {
      case id ~ optE => Condition(id, optE) }
  }
  def transformDecl = {
    currentLocalVariables = Set[String]();
    ( "refines" ~> ident ~ formalParameters(true) ~ ("returns" ~> formalParameters(false) ?) ~ (methodSpec*) ~ blockStatement ^^ {
        case id ~ ins ~outs ~ spec ~ body =>
          MethodTransform(id, ins, outs match {case None => Nil; case Some(outs) => outs}, spec, ProgramPat(body)) }).|(
      "transforms" ~> ident ~ formalParameters(true) ~ ("returns" ~> formalParameters(false) ?) ~ (methodSpec*) into {case id ~ ins ~ outs ~ spec =>
        assumeAllLocals = true;
        "{" ~> transform <~ "}" ^^ {
          trans =>
            assumeAllLocals = false;
            MethodTransform(id, ins, outs match {case None => Nil; case Some(outs) => outs}, spec, AST.normalize(trans))
        }
      })
  }
  def couplingDecl = {
    currentLocalVariables = Set[String]();
    ("replaces" ~> rep1sep(ident, ",") <~ "by") ~ expression <~ Semi ^^ {case ids ~ e => CouplingInvariant(ids, e)}
  }

  def formalParameters(immutable: Boolean) =
    "(" ~> (formalList(immutable) ?) <~ ")" ^^ {
      case None => Nil
      case Some(ids) => ids }
  def formalList(immutable: Boolean) = repsep(formal(immutable), ",")  
  def formal(immutable: Boolean): Parser[Variable] =
    idType ^^ {case (id,t) =>
      currentLocalVariables = currentLocalVariables + id.v;
      new Variable(id.v,t,false,immutable) 
    }
  def Ident = positioned(ident ^^ PositionedString)
  def idType = idTypeOpt ^^ {
      case (id, None) => (id, Type("int", Nil))  // todo: this feature was once convenient to make some Chalice programs look cleaner, but now that Chalice has grown up a bit, it's a feature that is better removed (or replaced by some type inference)
      case (id, Some(t)) => (id, t) }
  def idTypeOpt =
    Ident ~ (":" ~> typeDecl ?) ^^ { case id ~ optT => (id, optT) }
  def typeDecl: Parser[Type] =
      positioned(("int" | "bool" | ident | "string" | "seq") ~ opt("<" ~> repsep(typeDecl, ",") <~ ">") ^^ { case t ~ parameters => Type(t, parameters.getOrElse(Nil)) }
      | ("token" ~ "<") ~> (typeDecl <~ ".") ~ ident <~ ">" ^^ { case c ~ m => TokenType(c, m) }
      )

  /**
   * Pre and post conditions
   */
  
  def methodSpec =
    positioned( "requires" ~> expression <~ Semi ^^ Precondition
    | "ensures" ~> expression <~ Semi ^^ Postcondition
    | "lockchange" ~> expressionList <~ Semi ^^ LockChange
    )

  /**
   * Statements
   */

  def blockStatement: Parser[List[Statement]] = "{" ~> blockStatementBody <~ "}"
  def blockStatementBody: Parser[List[Statement]] = {
    val prev = currentLocalVariables
    (statement*) ^^ {
      case x => currentLocalVariables = prev; x }
  }
  def statement: Parser[Statement] =
    positioned( "assert" ~> expression <~ Semi ^^ Assert
    | "assume" ~> expression <~ Semi ^^ Assume
    | blockStatement ^^ BlockStmt
    | "var" ~> localVarStmt(false, false)
    | "spec" ~> localVarStmt(false, false)
    | "const" ~> localVarStmt(true, false)
    | "ghost" ~> "const" ~> localVarStmt(true, true)
    | "ghost" ~> "var" ~> localVarStmt(false, true)
    | "call" ~> callStmt
    | "if" ~> ifStmtThen
    | "while" ~> "(" ~> expression ~ ")" ~ loopSpec ~ blockStatement ^^ {
        case guard ~ _ ~ lSpec ~ body =>
          lSpec match { case (invs,lkch) => WhileStmt(guard, invs, Nil, lkch, BlockStmt(body)) }}
    | "reorder" ~> expression ~ (installBounds ?) <~ Semi ^^ {
        case obj ~ None => Install(obj, List(), List())
        case obj ~ Some(bounds) => Install(obj, bounds._1, bounds._2) }
    | "share" ~> expression ~ (installBounds ?) <~ Semi ^^ {
        case obj ~ None => Share(obj, List(), List())
        case obj ~ Some(bounds) => Share(obj, bounds._1, bounds._2) }
    | "unshare" ~> expression <~ Semi ^^ Unshare
    | "acquire" ~> expression <~ Semi ^^ Acquire
    | "release" ~> expression <~ Semi ^^ Release
    | "lock" ~> "(" ~> expression ~ ")" ~ blockStatement ^^ {
        case e ~ _ ~ b => Lock(e, BlockStmt(b), false) }
    | "[[" ~> blockStatementBody <~ "]]" ^^ {
        case b => Lock(ExplicitThisExpr(), BlockStmt(b), false) }
    | "rd" ~>
        ( "lock" ~> "(" ~> expression ~ ")" ~ blockStatement ^^ {
            case e ~ _ ~ b => Lock(e, BlockStmt(b), true) }
        | "acquire" ~> expression <~ Semi ^^ RdAcquire
        | "release" ~> expression <~ Semi ^^ RdRelease
        )
    | "downgrade" ~> expression <~ Semi ^^ Downgrade
    | "free" ~> expression <~ Semi ^^ Free
    | Ident ~ ":=" ~ Rhs <~ Semi ^^ {
        case lhs ~ _ ~ rhs =>
          if ((currentLocalVariables contains lhs.v) || assumeAllLocals) {
            val varExpr = VariableExpr(lhs.v); varExpr.pos = lhs.pos;
            Assign(varExpr, rhs)
          } else {
            val implicitThis = ImplicitThisExpr();
            val select = MemberAccess(implicitThis, lhs.v);
            implicitThis.pos = lhs.pos;
            select.pos = lhs.pos;
            FieldUpdate(select, rhs)
          }}
    | selectExprFerSure ~ ":=" ~ Rhs <~ Semi ^^ {
        case lhs ~ _ ~ rhs => FieldUpdate(lhs, rhs) }
    | ("fold" ~> expression <~ Semi) ^? { 
        case pred: MemberAccess => Fold(Access(pred, Full))
        case perm: Access => Fold(perm)
      }
    | ("unfold" ~> expression <~ Semi) ^? { 
        case pred: MemberAccess => Unfold(Access(pred, Full))
        case perm: Access => Unfold(perm)
      }
    | ("fork") ~> callSignature ^? ({
        case None ~ target ~ args =>
          val (receiver, name) = target match { 
            case VariableExpr(id) => (new ImplicitThisExpr, id)
            case MemberAccess(obj, id) => (obj, id) 
          }
          CallAsync(false, null, receiver, name, args)
        case Some(List(tok)) ~ target ~ args => 
          val (receiver, name) = target match { 
            case VariableExpr(id) => (new ImplicitThisExpr, id)
            case MemberAccess(obj, id) => (obj, id) 
          }
          if (currentLocalVariables contains tok.id) {
            CallAsync(false, tok, receiver, name, args)
          } else {
            currentLocalVariables = currentLocalVariables + tok.id;
            CallAsync(true, tok, receiver, name, args)
          }
        }, t => "fork statement cannot take more than 1 left-hand side")
    | (("join") ~> ( identList <~ ":=" ?)) ~ expression <~ Semi ^^ 
        { case results ~ token => JoinAsync(ExtractList(results), token) }
    | "wait" ~> memberAccess <~ Semi ^^ {
        case MemberAccess(obj, id) => Wait(obj, id) }
    | "signal" ~> ("forall" ?) ~ memberAccess <~ Semi ^^ {
        case None ~ MemberAccess(obj, id) => Signal(obj, id, false)
        case _ ~ MemberAccess(obj, id) => Signal(obj, id, true) }
    | ("send" ~> suffixPlusExpr into { e => e match {
        case FunctionApplication(obj, name, args) => Semi ^^^ Send(MemberAccess(obj,name), args)
        case e => "(" ~> expressionList <~ ")" <~ Semi ^^ { case args => Send(e, args) }}})
    | ("send" ~> atom into { e => e match {
        case fa@FunctionApplication(ImplicitThisExpr(), name, args) => Semi ^^^ {val va = VariableExpr(name); va.pos = fa.pos; Send(va, args)}
        case e => "(" ~> expressionList <~ ")" <~ Semi ^^ { case args => Send(e, args) }}})
    | "receive" ~> (identList <~ ":=" ?) ~ expression <~ Semi ^^ {
        case outs ~ e =>
          val lhs = ExtractList(outs)
          Receive(declareImplicitLocals(lhs), e, lhs) }
    )
  // this could be slightly changed to make it LL(1)
  def localVarStmt(const: Boolean, ghost: Boolean) =
    ( (rep1sep(idType, ",") into {decls:List[(PositionedString,Type)] => {
        val locals = for ((id, t) <- decls; if (! currentLocalVariables.contains(id.v))) yield {
          currentLocalVariables = currentLocalVariables + id.v
          new Variable(id.v, t, ghost, const)
        }
        val lhs = for ((id, _) <- decls) yield {
          val v = VariableExpr(id.v); v.pos = id.pos; v
        }
        "[" ~> opt(expression <~ ",") ~ expression <~ "]" <~ Semi ^^ {
          case Some(pre) ~ post => SpecStmt(lhs, locals, pre, post)
          case None ~ post => SpecStmt(lhs, locals, BoolLiteral(true), post)
        };
     } })
    | idTypeOpt ~ (":=" ~> Rhs ?) <~ Semi ^^ {
        case (id,optT) ~ rhs =>
          currentLocalVariables = currentLocalVariables + id.v
          val v = Variable(id.v,
                   optT match {
                     case Some(t) => t
                     case None =>
                       // do a cheap (and hokey) type inference of the RHS
                       rhs match {
                         case Some(NewRhs(tid, _, _, _)) => Type(tid, Nil)
                         case Some(BoolLiteral(b)) => Type("bool", Nil)
                         case Some(StringLiteral(s)) => Type("string", Nil)
                         case Some(x:BinaryExpr) if x.ResultType != null => new Type(x.ResultType);
                         case Some(x:Contains) => Type("bool", Nil)
                         case Some(x:Quantification) => Type("bool", Nil)
                         case _ => Type("int", Nil)
                       }
                   }, ghost, const)
          LocalVar(v, rhs) }
    )
  def ifStmtThen: Parser[IfStmt] =
    "(" ~> expression ~ ")" ~ blockStatement ~ ("else" ~> ifStmtElse ?) ^^ {
      case guard ~ _ ~ thenClause ~ elseClause => IfStmt(guard, BlockStmt(thenClause), elseClause) }
  def ifStmtElse =
    ( "if" ~> ifStmtThen
    | statement
    )
  def loopSpec: Parser[(List[Expression], List[Expression])] =
    (loopSpecX *) ^^ {
      case pp => (pp :\ (List[Expression](), List[Expression]())) ( (p,list) =>
        (p,list) match {
          case ((null,ee),(e0,e1)) => (e0, ee ++ e1)
          case ((e,ee),(e0,e1)) => (e :: e0, ee ++ e1)
        })
    }
  def loopSpecX =
    ( "invariant" ~> expression <~ Semi ^^ { case e => (e,Nil) }
    | "lockchange" ~> expressionList <~ Semi ^^ { case ee => (null,ee) }
    )
  def declareImplicitLocals(lhs: List[VariableExpr]) =
    for (v <- lhs) yield
      if (currentLocalVariables contains v.id)
        false
      else {
        currentLocalVariables = currentLocalVariables + v.id
        true
      }
  def callStmt =
    callSignature ^? ({
      case outs ~ VariableExpr(id) ~ args =>
        val lhs = ExtractList(outs)
        Call(declareImplicitLocals(lhs), lhs, new ImplicitThisExpr, id, args)
      case outs ~ MemberAccess(obj,id) ~ args =>
        val lhs = ExtractList(outs)
        Call(declareImplicitLocals(lhs), lhs, obj, id, args)
    }, t => "bad call statement")
  def callSignature =
    (identList <~ ":=" ?) ~ callTarget ~ expressionList <~ ")" <~ Semi
  def callTarget =  // returns a VariableExpr or a FieldSelect
      ( ident <~ "(" ^^ VariableExpr
      | selectExprFerSure <~ "("
      )
  def memberAccess =  // returns a MemberAccess
      ( selectExprFerSure
      | ident ^^ { case id => MemberAccess(ImplicitThisExpr(), id) }
      )
  def ExtractList[T](a: Option[List[T]]): List[T] = a match {
    case None => Nil
    case Some(list) => list }
  def identList =
    ( Ident ^^ { case t => val v = VariableExpr(t.v); v.pos = t.pos; v }) ~
    (("," ~> Ident ^^ { case t => val v = VariableExpr(t.v); v.pos = t.pos; v }) *) ^^ { case e ~ ee => e::ee }
  def Rhs : Parser[RValue] =
    positioned(
      "new" ~> ident ~ opt("{" ~> repsep(FieldInit, ",") <~ "}") ~ opt(installBounds) ^^ {
        case id ~ None ~ None => NewRhs(id, Nil, Nil, Nil)
        case id ~ Some(inits) ~ None => NewRhs(id, inits, Nil, Nil)
        case id ~ None ~ Some(bounds) => NewRhs(id, Nil, bounds._1, bounds._2)
        case id ~ Some(inits) ~ Some(bounds) => NewRhs(id, inits, bounds._1, bounds._2)
      }
    | expression
    )
  def FieldInit: Parser[Init] =
    positioned( (ident <~ ":=") ~ expression ^^ { case id ~ e => Init(id, e) } )
  def installBounds: Parser[(List[Expression], List[Expression])] =
    ( "between" ~> expressionList ~ "and" ~ expressionList ^^ { case l ~ _ ~ u => (l,u) }
    | "below" ~> expressionList ~ ("above" ~> expressionList ?) ^^ {
        case u ~ None => (Nil,u)
        case u ~ Some(l) => (l,u) }
    | "above" ~> expressionList ~ ("below" ~> expressionList ?) ^^ {
        case l ~ None => (l,Nil)
        case l ~ Some(u) => (l,u) }
    )

  /**
   * Expressions
   */
  
  def expressionList =
    repsep(expression, ",")
  def expression = positioned(iteExpr)
  
  def partialExpressionList =
    repsep(expression | ("_" ^^^ VariableExpr("?")), ",")

  def iteExpr: Parser[Expression] =
        positioned(iffExpr ~ (("?" ~> iteExpr) ~ (":" ~> iteExpr) ?) ^^ {
          case e ~ None => e
          case e0 ~ Some(e1 ~ e2) => IfThenElse(e0,e1,e2) })
  def iffExpr: Parser[Expression] =
        positioned(implExpr ~ ("<==>" ~> iffExpr ?) ^^ {
          case e ~ None => e
          case e0 ~ Some(e1) => Iff(e0,e1) })
  def implExpr: Parser[Expression] =
        positioned(logicalExpr ~ ("==>" ~> implExpr ?) ^^ {
          case e ~ None => e
          case e0 ~ Some(e1) => Implies(e0,e1) })
  def logicalExpr =
        positioned(cmpExpr ~ (( ("&&" ~ cmpExpr +) | ("||" ~ cmpExpr +) )?) ^^ {
          case e ~ None => e
          case e0 ~ Some(rest) => (rest foldLeft e0) {
            case (a, "&&" ~ b) => And(a,b)
            case (a, "||" ~ b) => Or(a,b) }})
  def cmpExpr = 
        positioned(concatExpr ~ ((CompareOp ~ concatExpr)?) ^^ {
          case e ~ None => e
          case e0 ~ Some("==" ~ e1) => Eq(e0,e1)
          case e0 ~ Some("!=" ~ e1) => Neq(e0,e1)
          case e0 ~ Some("<" ~ e1) => Less(e0,e1)
          case e0 ~ Some("<=" ~ e1) => AtMost(e0,e1)
          case e0 ~ Some(">=" ~ e1) => AtLeast(e0,e1)
          case e0 ~ Some(">" ~ e1) => Greater(e0,e1)
          case e0 ~ Some("<<" ~ e1) => LockBelow(e0,e1)
          case e0 ~ Some("in" ~ e1) => Contains(e0, e1)
          case e0 ~ Some("!in" ~ e1) => val c = Contains(e0, e1); c.pos = e0.pos; Not(c)
        })
  def CompareOp = "==" | "!=" | "<" | "<=" | ">=" | ">" | "<<" | "in" | "!in"
  def concatExpr =
        positioned(addExpr ~ ("++" ~> addExpr *) ^^ {
          case e0 ~ rest => (rest foldLeft e0) {
            case (a, b) => Append(a, b) }})
  def addExpr =
        positioned(multExpr ~ (AddOp ~ multExpr *) ^^ {
          case e0 ~ rest => (rest foldLeft e0) {
            case (a, "+" ~ b) => Plus(a,b)
            case (a, "-" ~ b) => Minus(a,b) }})
  def AddOp = "+" | "-"
  def multExpr: Parser[Expression] =
        unaryExpr ~ (MulOp ~ unaryExpr *) ^^ {
          case e0 ~ rest => (rest foldLeft e0) {
            case (a, "*" ~ b) => Times(a,b)
            case (a, "/" ~ b) => Div(a,b)
            case (a, "%" ~ b) => Mod(a,b) }}
  def MulOp = "*" | "/" | "%"
  def unaryExpr: Parser[Expression] =
        ( "!" ~> unaryExpr ^^ Not
        | "-" ~> unaryExpr ^^ { Minus(IntLiteral(0),_) }
        | suffixExpr
        )
  def suffixExpr =
    atom ~ (suffixThing *) ^^ {
      case e ~ sfxs => sfxs.foldLeft(e) { (t, a) => val result = a(t); result.pos = t.pos; result } }
  def suffixPlusExpr =
    atom ~ (suffixThing +) ^^ {
      case e ~ sfxs => sfxs.foldLeft(e) { (t, a) => val result = a(t); result.pos = t.pos; result } }
  def suffixThing: Parser[(Expression => Expression)] =
    ( "[" ~> expression <~ "]" ^^ { case e1 => { e0: Expression => At(e0, e1) }} 
    | "[" ~> expression <~ (".." ~ "]") ^^ { case e1 => { e0: Expression => Drop(e0, e1)}} 
    | "[" ~> ".." ~> expression <~ "]" ^^ { case e1 => { e0: Expression => Take(e0, e1)}}
    | "[" ~> (expression <~ "..") ~ expression <~ "]" ^^ {
        case e1 ~ e2 => {e0: Expression => val tak = Take(e0, e2); tak.pos = e0.pos; Drop(tak, e1)} }
    | "." ~> ident ~ opt("(" ~> expressionList <~ ")") ^^ {
        case name ~ None => { e0: Expression => MemberAccess(e0, name) }
        case name ~ Some(es) => { e0: Expression => FunctionApplication(e0, name, es) } }
    | "." ~> "acquire" ~> exprBody ^^ { case eb => { e0: Expression => Eval(AcquireState(e0), eb) }}
    | "." ~> "release" ~> exprBody ^^ { case eb => { e0: Expression => Eval(ReleaseState(e0), eb) }}
    | "." ~> "fork" ~> (callTarget ~ partialExpressionList <~ ")") ~ exprBody ^^ {
        case MemberAccess(obj,id) ~ args ~ eb => { e0: Expression => Eval(CallState(e0, obj, id, args), eb) }}
    )
  def exprBody =
    "{" ~> expression <~ "}"

  def selectExprFerSure: Parser[MemberAccess] =
    positioned(atom ~ "." ~ ident ~ ("." ~> ident *) ^^ {
      case e ~ _ ~ field ~ moreFields =>
        (moreFields foldLeft MemberAccess(e,field)) { (target, f) =>
          val result = MemberAccess(target, f); result.pos = target.pos; result }})
  def selectExprFerSureX: Parser[MemberAccess] =
    positioned(atom ~ identOrSpecial ~ ("." ~> ident *) ^^ {
      case e ~ field ~ moreFields =>
        (moreFields foldLeft MemberAccess(e,field)) { (target, f) =>
          val result = MemberAccess(target, f); result.pos = target.pos; result }})
  def identOrSpecial: Parser[String] =
    ( "." ~> ident ^^ { case s => s }
    | "." ~> "acquire" ^^^ "acquire"
    | "." ~> "release" ^^^ "release"
    | "." ~> "fork" ^^^ "fork"
    | "." ~> "*" ^^^ "*"
    | "["~"*"~"]"~"."~"*" ^^^ "[*].*"
    | "["~"*"~"]" ^^^ "[*]"
    )

  def atom : Parser[Expression] =
    positioned(
      numericLit ^^ { case n => IntLiteral(n.toInt) }
    | "false" ^^^ BoolLiteral(false)
    | "true" ^^^ BoolLiteral(true)
    | "null" ^^^ NullLiteral()
    | stringLit ^^ { case s => StringLiteral(s) }
    | "waitlevel" ^^^ MaxLockLiteral()
    | "lockbottom" ^^^ LockBottomLiteral()
    | "this" ^^^ ExplicitThisExpr()
    | "result" ^^^ Result()
    | positioned(Ident) ~ opt("(" ~> expressionList <~ ")") ^^ {
        case id ~ None =>
          val r =
          if ((currentLocalVariables contains id.v) || assumeAllLocals) {
            VariableExpr(id.v)
          } else {
            val implicitThis = ImplicitThisExpr(); implicitThis.pos = id.pos
            MemberAccess(implicitThis, id.v)
          }
          r.pos = id.pos; r
        case id ~ Some(args) =>
          val implicitThis = ImplicitThisExpr(); implicitThis.pos = id.pos
          val r = FunctionApplication(implicitThis, id.v, args)
          r.pos = id.pos; r
        }
    | "rd" ~> "(" ~>
      ( // note: depending on the context where rd occurs, we parse it wrongly (e.g. acc(x,rd(n)) is parsed to
        // Access(MemberAccess(ImplicitThisExpr(),x),Frac(Access(MemberAccess(ImplicitThisExpr(),n),Epsilon))) ).
        // This might seem completely wrong (and it is), but we correct this later, see the comment before
        // method ResolvePermissionExpr in the resolver.
        (( (Ident ^^ (e => { val result = MemberAccess(ImplicitThisExpr(),e.v); result.pos = e.pos; result})) ~ rdPermArg <~ ")"
        | selectExprFerSureX ~ rdPermArg <~ ")"
        ) ^^ {
          case MemberAccess(obj, "*") ~ p => AccessAll(obj, p);
          case MemberAccess(obj, "[*].*") ~ p => AccessSeq(obj, None, p);
          case MemberAccess(MemberAccess(obj, "[*]"), f) ~ p => AccessSeq(obj, Some(MemberAccess(At(obj, IntLiteral(0)), f)), p);
          case e ~ p => Access(e, p)
        })
      | expression <~ ")" ^^ {
        case e => val eps = Epsilons(e); eps.pos = e.pos; eps
      }
      | "*" ~> ")" ~ err("This syntax is not supported any longer. For the starred read permission, use rd*(o.f).") ^^^ Star
      )
    | "rd" ~> "*" ~> "(" ~>
      (
        (( (Ident ^^ (e => { val result = MemberAccess(ImplicitThisExpr(),e.v); result.pos = e.pos; result})) <~ ")"
        | selectExprFerSureX <~ ")"
        ) ^^ {
          case MemberAccess(obj, "*") => AccessAll(obj, Star);
          case MemberAccess(obj, "[*].*") => AccessSeq(obj, None, Star);
          case MemberAccess(MemberAccess(obj, "[*]"), f) => AccessSeq(obj, Some(MemberAccess(At(obj, IntLiteral(0)), f)), Star);
          case e => Access(e, Star)
        })
      )
    | "acc" ~> "(" ~>
      ( (Ident ^^ (e => { val result = MemberAccess(ImplicitThisExpr(),e.v); result.pos = e.pos; result} )) ~ accPermArg <~ ")"
      | selectExprFerSureX ~ accPermArg <~ ")"
      ) ^^ {
        case MemberAccess(obj, "*") ~ p => AccessAll(obj, p);
        case MemberAccess(obj, "[*].*") ~ p => AccessSeq(obj, None, p);
        case MemberAccess(MemberAccess(obj, "[*]"), f) ~ p => AccessSeq(obj, Some(MemberAccess(At(obj, IntLiteral(0)), f)), p);
        case e ~ p => Access(e, p)
      }
    | "credit" ~> "(" ~> expression ~ ("," ~> expression ?) <~ ")" ^^ {
        case ch ~ n => Credit(ch, n) }
    | "holds" ~> "(" ~> expression <~ ")" ^^ Holds
    | "rd" ~> "holds" ~> "(" ~> expression <~ ")" ^^ RdHolds
    | "rd" ^^ (_ => MethodEpsilon)
    | "assigned" ~> "(" ~> ident <~ ")" ^^ Assigned
    | "old" ~> "(" ~> expression <~ ")" ^^ Old
    | ("unfolding" ~> suffixExpr <~ "in") ~ expression ^? { 
        case (pred: MemberAccess) ~ e => val acc = Access(pred, Full); acc.pos = pred.pos; Unfolding(acc, e)
        case (perm: Access) ~ e => Unfolding(perm, e)
      }
    | "|" ~> expression <~ "|" ^^ Length
    | ("eval" ~ "(") ~> (evalstate <~ ",") ~ (expression <~ ")") ^^ { case h ~ e => Eval(h, e) }
    | ("ite" ~> "(" ~> expression <~ ",") ~ (expression <~ ",") ~ (expression <~ ")") ^^ {
        case con ~ then ~ els => IfThenElse (con, then, els) }
    | "(" ~> expression <~ ")"
    | quantifierType
    | quantifierSeq
    | ("[" ~> expression) ~ (".." ~> expression <~ "]") ^^ { case from ~ to => Range(from, to) }
    | ("nil" ~> "<") ~> (typeDecl <~ ">") ^^ EmptySeq
    | ("[" ~> expressionList <~ "]") ^^ { case es => ExplicitSeq(es) }
    )

  def quantifierSeq: Parser[Quantification] =
    (quant ~ repsep(ident, ",")) into {case q ~ is => quantifierSeqBody(q, is)}
  def quantifierSeqBody(q: Quant, is: List[String]) : Parser[Quantification] =
    (("in" ~> expression <~ "::") ~ (exprWithLocals(is))) ^^
      { case seq ~ e =>
        currentLocalVariables = currentLocalVariables -- is;
        SeqQuantification(q, is, seq, e);
      }
  def quantifierType: Parser[Quantification] =
    (quant ~ repsep(ident, ",")) into {case q ~ is => quantifierTypeBody(q, is)}
  def quantifierTypeBody(q: Quant, is: List[String]) : Parser[Quantification] =
    ((":" ~> typeDecl <~ "::") ~ (exprWithLocals(is))) ^^
      { case t ~ e =>
        currentLocalVariables = currentLocalVariables -- is;
        new TypeQuantification(q, is, t, e);
      }
  def quant: Parser[Quant] =
    ( "forall" ^^^ Forall | "exists" ^^^ Exists)

  def exprWithLocals(i: List[String]) : Parser[Expression] = {
    currentLocalVariables = currentLocalVariables ++ i;
    val result = ((expression) ^^ { case e => e});
    result
  }

  def evalstate: Parser[EvalState] =
    (suffixExpr <~ ".") into { e =>
      ( "acquire" ^^^ AcquireState(e)
      | "release" ^^^ ReleaseState(e)
      | "fork" ~> callTarget ~ partialExpressionList <~ ")" ^^ {
          case MemberAccess(obj,id) ~ args => CallState(e, obj, id, args) }
      )}

  def rdPermArg : Parser[Permission] =
      opt( "," ~> "*" ~ err("This syntax is not supported any longer. For the starred read permission, use rd*(o.f).") ^^^ Star
      | "," ~> expression ^^ { case e => val eps = Epsilons(e); eps.pos = e.pos; eps }) ^^ { case None => Epsilon; case Some(p) => p}

  def accPermArg : Parser[Write] =
      opt( "," ~> expression ^^ { case e => val f: Frac = Frac(e); f.pos = e.pos; f }) ^^ { case None => Full; case Some(p) => p}

  /**
   * Transforms
   */

  def transform: Parser[Transform] = rep1(transformAtom) ^^ SeqPat
  def transformAtom: Parser[Transform] = positioned(
      "_" ~ Semi ^^^ BlockPat()
    | "*" ~ Semi ^^^ SkipPat()
    | "if" ~> ifTransform
    | "while" ~> rep("invariant" ~> expression <~ Semi) ~ ("{" ~> transform <~ "}") ^^ {case ee ~ body => WhilePat(ee, body)}
    | "replaces" ~> "*" ~> "by" ~> blockStatement ^^ ProgramPat              
    | "replaces" ~> rep1sep(Ident,",") ~ ("by" ~> blockStatement) ^^ {
        case ids ~ code => NonDetPat(ids map {x => x.v}, code)
      }
    | rep1(statement) ^^ {case s => InsertPat(s)}
    )
  def ifTransform: Parser[IfPat] =
    ("{" ~> transform <~ "}") ~ ("else" ~> ifTransformElse ?) ^^ {
      case thn ~ els => IfPat(thn, els)
    }
  def ifTransformElse = (
      "if" ~> ifTransform
    | "{" ~> transform <~ "}"
    )

}