From 535008fd2cf6846ddb3791f69c7c73e21e1e53fe Mon Sep 17 00:00:00 2001 From: octalsrc Date: Tue, 2 May 2017 10:19:59 -0600 Subject: [PATCH 01/13] Progress on symbolic abstraction --- lib/cafesat_2.11-0.01.jar | Bin 0 -> 929390 bytes .../abstracting/symbolic/BoolVote.scala | 47 +++++++++++++++ .../cuanto/abstracting/symbolic/package.scala | 54 ++++++++++++++++++ 3 files changed, 101 insertions(+) create mode 100644 lib/cafesat_2.11-0.01.jar create mode 100644 src/main/scala/edu/colorado/plv/cuanto/abstracting/symbolic/BoolVote.scala create mode 100644 src/main/scala/edu/colorado/plv/cuanto/abstracting/symbolic/package.scala diff --git a/lib/cafesat_2.11-0.01.jar b/lib/cafesat_2.11-0.01.jar new file mode 100644 index 0000000000000000000000000000000000000000..3b653d28fdd9d358469b418f053af623ec4e0e15 GIT binary patch literal 929390 zcmb@tRdgKNvL$LUGcz+YGcz-mm>Dgym>Dg!m}N;8vs7YcX0n(WpZ7VZ`|j7T?|%K! z^;1Wm7KAERHsgvPeRhA<;byb6Di2qhq|HE3dLGOi&xgMvAuTYltmgw`uH352^|Ld!!) 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_) => e2 + case (_, Bot) => e1 + case _ => Top + } + + def represent(bs: (Boolean,Boolean,Boolean)): BoolVote = bs match { + case (a,b,c) => Seq(a,b,c).filter((b: Boolean) => b).size match { + case s if s >= 2 => Yay + case _ => Nay + } + } + + def vote(b: Boolean)(vs: BoolVote): BoolVote = (b,vs) match { + case (true,Yay) => Yay + case (true,Nay) => Top + case (false,Nay) => Nay + case (false,Yay) => Top + } +} diff --git a/src/main/scala/edu/colorado/plv/cuanto/abstracting/symbolic/package.scala b/src/main/scala/edu/colorado/plv/cuanto/abstracting/symbolic/package.scala new file mode 100644 index 0000000..4a75b1f --- /dev/null +++ b/src/main/scala/edu/colorado/plv/cuanto/abstracting/symbolic/package.scala @@ -0,0 +1,54 @@ +package edu.colorado.plv.cuanto.abstracting + +import cafesat.api._ +import cafesat.api.FormulaBuilder._ +import cafesat.api.Formulas._ + + +package symbolic { + + trait Logical[L,C] { + implicit def model(l: L): Option[C] + } + + trait Symbolic[A,L] { + implicit def gammaHat(a: A): L + } + + trait Logic { + type L + + } + +} + +package object symbolic { + + import BoolVote._ + + type B3 = (Boolean,Boolean,Boolean) + + val av: PropVar = propVar("a") + val bv: PropVar = propVar("b") + val cv: PropVar = propVar("c") + + def postHatUp(t: Formula, v: BoolVote): BoolVote = { + def recur(low: BoolVote): BoolVote = + modelBools(symbolicBoolVote(v) && t && (!symbolicBoolVote(low))) match { + case Some((s,sn)) => recur(join(low,beta(sn))) + case _ => low + } + recur(bottom: BoolVote) + } + + val yayFormula: Formula = (av && bv) || (av && cv) || (bv && cv) + + def symbolicBoolVote(a: BoolVote): Formula = a match { + case Top => true + case Yay => yayFormula + case Nay => !yayFormula + case Bot => false + } + + def modelBools(f: Formula): Option[(B3,B3)] = ??? +} From be7aa3b507fd49e02ace99b44b793f83011504a7 Mon Sep 17 00:00:00 2001 From: octalsrc Date: Mon, 15 May 2017 16:37:23 -0600 Subject: [PATCH 02/13] Tests and whole algorithm implementation (failing on strange errors) --- .../abstracting/symbolic/BoolVote.scala | 31 ++++++++++++++++--- .../cuanto/abstracting/symbolic/package.scala | 27 +++++++++++----- .../symbolic/SymbolicAbstractionSpec.scala | 24 ++++++++++++++ 3 files changed, 69 insertions(+), 13 deletions(-) create mode 100644 src/test/scala/edu/colorado/plv/cuanto/abstracting/symbolic/SymbolicAbstractionSpec.scala diff --git a/src/main/scala/edu/colorado/plv/cuanto/abstracting/symbolic/BoolVote.scala b/src/main/scala/edu/colorado/plv/cuanto/abstracting/symbolic/BoolVote.scala index a6de5b5..ed380cc 100644 --- a/src/main/scala/edu/colorado/plv/cuanto/abstracting/symbolic/BoolVote.scala +++ b/src/main/scala/edu/colorado/plv/cuanto/abstracting/symbolic/BoolVote.scala @@ -2,6 +2,12 @@ package edu.colorado.plv.cuanto.abstracting package symbolic +import cafesat.api._ +import cafesat.api.FormulaBuilder._ +import cafesat.api.Formulas._ + + + sealed class BoolVote case object Top extends BoolVote case object Yay extends BoolVote @@ -11,6 +17,7 @@ case object Bot extends BoolVote object BoolVote extends Abstraction with Abstractable[(Boolean,Boolean,Boolean),BoolVote] { type A = BoolVote + type B3 = (PropVar,PropVar,PropVar) val bottom: BoolVote = Bot def isBottom(e: BoolVote): Boolean = e match { @@ -38,10 +45,24 @@ object BoolVote extends Abstraction } } - def vote(b: Boolean)(vs: BoolVote): BoolVote = (b,vs) match { - case (true,Yay) => Yay - case (true,Nay) => Top - case (false,Nay) => Nay - case (false,Yay) => Top + def voteYay(vs: BoolVote): BoolVote = vs match { + case Yay => Yay + case Nay => Top + } + + def voteYayT(pre: B3, post: B3): Formula = (pre,post) match { + case ((a1,a2,a3),(b1,b2,b3)) => + b1 && ((a2 && b2) || !(a2 || b2)) && ((a3 && b3) || !(a3 || b3)) + + } + + def voteNay(vs: BoolVote): BoolVote = vs match { + case Nay => Nay + case Yay => Top + } + + def voteNayT(pre: B3, post: B3): Formula = (pre,post) match { + case ((a1,a2,a3),(b1,b2,b3)) => + !b1 && ((a2 && b2) || !(a2 || b2)) && ((a3 && b3) || !(a3 || b3)) } } diff --git a/src/main/scala/edu/colorado/plv/cuanto/abstracting/symbolic/package.scala b/src/main/scala/edu/colorado/plv/cuanto/abstracting/symbolic/package.scala index 4a75b1f..3e6e2f7 100644 --- a/src/main/scala/edu/colorado/plv/cuanto/abstracting/symbolic/package.scala +++ b/src/main/scala/edu/colorado/plv/cuanto/abstracting/symbolic/package.scala @@ -26,29 +26,40 @@ package object symbolic { import BoolVote._ - type B3 = (Boolean,Boolean,Boolean) + type B3P = (Boolean,Boolean,Boolean) val av: PropVar = propVar("a") val bv: PropVar = propVar("b") val cv: PropVar = propVar("c") + val av2: PropVar = propVar("a2") + val bv2: PropVar = propVar("b2") + val cv2: PropVar = propVar("c2") - def postHatUp(t: Formula, v: BoolVote): BoolVote = { + def postHatUp(t: (B3,B3) => Formula, v: BoolVote): BoolVote = { def recur(low: BoolVote): BoolVote = - modelBools(symbolicBoolVote(v) && t && (!symbolicBoolVote(low))) match { + modelBools(symbolicBoolVote(v,(av,bv,cv)) && t((av,bv,cv),(av2,bv2,cv2)) && (!symbolicBoolVote(low,(av2,bv2,cv2)))) match { case Some((s,sn)) => recur(join(low,beta(sn))) case _ => low } recur(bottom: BoolVote) } - val yayFormula: Formula = (av && bv) || (av && cv) || (bv && cv) + val yayFormula: B3 => Formula = + {case (a,b,c) => (a && b) || (a && c) || (b && c) } - def symbolicBoolVote(a: BoolVote): Formula = a match { + def symbolicBoolVote(a: BoolVote, bs: B3): Formula = a match { case Top => true - case Yay => yayFormula - case Nay => !yayFormula + case Yay => yayFormula(bs) + case Nay => !yayFormula(bs) case Bot => false } - def modelBools(f: Formula): Option[(B3,B3)] = ??? + def modelBools(f: Formula): Option[(B3P,B3P)] = { + Solver.solveForSatisfiability(f) match { + case None => None + case Some(model) => { + Some((model(av),model(bv),model(cv)),(model(av2),model(bv2),model(cv2))) + } + } + } } diff --git a/src/test/scala/edu/colorado/plv/cuanto/abstracting/symbolic/SymbolicAbstractionSpec.scala b/src/test/scala/edu/colorado/plv/cuanto/abstracting/symbolic/SymbolicAbstractionSpec.scala new file mode 100644 index 0000000..4301d3d --- /dev/null +++ b/src/test/scala/edu/colorado/plv/cuanto/abstracting/symbolic/SymbolicAbstractionSpec.scala @@ -0,0 +1,24 @@ +package edu.colorado.plv.cuanto +package abstracting.symbolic + +import org.scalatest.{FlatSpec, Matchers} +import org.scalatest.prop.PropertyChecks + +class SymbolicAbstractionSpec extends FlatSpec with Matchers with PropertyChecks { + import BoolVote._ + + "The postHat funtion" should "correctly model voteYay" in { + postHatUp(voteYayT, Top) should equal (voteYay(Top)) + postHatUp(voteYayT, Yay) should equal (voteYay(Yay)) + postHatUp(voteYayT, Nay) should equal (voteYay(Nay)) + postHatUp(voteYayT, Bot) should equal (voteYay(Bot)) + } + + "The postHat funtion" should "correctly model voteNay" in { + postHatUp(voteNayT, Top) should equal (voteNay(Top)) + postHatUp(voteNayT, Yay) should equal (voteNay(Yay)) + postHatUp(voteNayT, Nay) should equal (voteNay(Nay)) + postHatUp(voteNayT, Bot) should equal (voteNay(Bot)) + } +} + From cf33648592fae0e83a46dc59e82d37e4826aa53d Mon Sep 17 00:00:00 2001 From: octalsrc Date: Fri, 2 Jun 2017 08:26:59 -0600 Subject: [PATCH 03/13] Switch out CafeSAT for JavaSMT --- build.sbt | 3 ++- lib/cafesat_2.11-0.01.jar | Bin 929390 -> 0 bytes project/Dependencies.scala | 1 + 3 files changed, 3 insertions(+), 1 deletion(-) delete mode 100644 lib/cafesat_2.11-0.01.jar diff --git a/build.sbt b/build.sbt index 060ed5f..150b748 100644 --- a/build.sbt +++ b/build.sbt @@ -53,7 +53,8 @@ lazy val root = (project in file(".")). libraryDependencies ++= Seq( scalaParserCombinators, scalaTest % Test, - scalaCheck % Test + scalaCheck % Test, + javaSMT ), // Name diff --git a/lib/cafesat_2.11-0.01.jar b/lib/cafesat_2.11-0.01.jar deleted file mode 100644 index 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project/Resolvers.scala diff --git a/build.sbt b/build.sbt index 150b748..87a220d 100644 --- a/build.sbt +++ b/build.sbt @@ -1,4 +1,5 @@ import Dependencies._ +import Resolvers._ enablePlugins(SiteScaladocPlugin) enablePlugins(GhpagesPlugin) @@ -49,12 +50,18 @@ lazy val root = (project in file(".")). scmInfo := Some(ScmInfo(url("https://github.com/cuplv/cuanto"), "git@github.com:cuplv/cuanto.git")), git.remoteRepo := scmInfo.value.get.connection, + resolvers ++= Seq( + // scala-smtlib comes from here + sonatypeReleases + ), + // Dependencies libraryDependencies ++= Seq( scalaParserCombinators, scalaTest % Test, scalaCheck % Test, - javaSMT + javaSMT, + scalaSMTLIB ), // Name diff --git a/project/Dependencies.scala b/project/Dependencies.scala index c62fa55..5291c52 100644 --- a/project/Dependencies.scala +++ b/project/Dependencies.scala @@ -5,4 +5,5 @@ object Dependencies { lazy val scalaCheck = "org.scalacheck" %% "scalacheck" % "1.13.4" lazy val scalaParserCombinators = "org.scala-lang.modules" %% "scala-parser-combinators" % "1.0.5" lazy val javaSMT = "org.sosy-lab" % "java-smt" % "1.0.1" + lazy val scalaSMTLIB = "com.regblanc" %% "scala-smtlib" % "0.2.1" } diff --git a/project/Resolvers.scala b/project/Resolvers.scala new file mode 100644 index 0000000..6845d6c --- /dev/null +++ b/project/Resolvers.scala @@ -0,0 +1,5 @@ +import sbt._ + +object Resolvers { + lazy val sonatypeReleases = "Sonatype OSS Releases" at "https://oss.sonatype.org/content/repositories/releases" +} From 408215d335fa41e2916428cb931a22375109844f Mon Sep 17 00:00:00 2001 From: octalsrc Date: Fri, 2 Jun 2017 11:33:39 -0600 Subject: [PATCH 05/13] Redefine B3 and abstractions --- .../cuanto/abstracting/bitvectors/B3.scala | 72 ++++++++++++++++++ .../{symbolic => bitvectors}/BoolVote.scala | 24 +++--- .../cuanto/abstracting/symbolic/package.scala | 73 +++++++++---------- 3 files changed, 115 insertions(+), 54 deletions(-) create mode 100644 src/main/scala/edu/colorado/plv/cuanto/abstracting/bitvectors/B3.scala rename src/main/scala/edu/colorado/plv/cuanto/abstracting/{symbolic => bitvectors}/BoolVote.scala (70%) diff --git a/src/main/scala/edu/colorado/plv/cuanto/abstracting/bitvectors/B3.scala b/src/main/scala/edu/colorado/plv/cuanto/abstracting/bitvectors/B3.scala new file mode 100644 index 0000000..3a39213 --- /dev/null +++ b/src/main/scala/edu/colorado/plv/cuanto/abstracting/bitvectors/B3.scala @@ -0,0 +1,72 @@ +package edu.colorado.plv.cuanto.abstracting + +package bitvectors + +import smtlib.theories._ +import smtlib.parser.Terms._ + +case class B3(bool1: Boolean, bool2: Boolean, bool3: Boolean) + +case class B3SMT(boo1: Term, bool2: Term, bool3: Term) + +object B3SMT extends Abstractable[B3,B3SMT] { + def represent(b3: B3): B3SMT = ??? +} + +sealed class Vote3 +case object Top extends Vote3 +case object Yay extends Vote3 +case object Nay extends Vote3 +case object Bot extends Vote3 + +object Vote3 extends Abstraction with Abstractable[B3,Vote3] { + type A = Vote3 + + val bottom: Vote3 = Bot + + def isBottom(e: Vote3): Boolean = e match { + case Bot => true + case _ => false + } + + def implies(e1: Vote3, e2: Vote3): Boolean = (e1,e2) match { + case (Bot,_) => true + case (_,Top) => true + case _ => false + } + + def join(e1: Vote3, e2: Vote3): Vote3 = (e1, e2) match { + case _ if e1 == e2 => e1 + case (Bot, _) => e2 + case (_, Bot) => e1 + case _ => Top + } + + def represent(b3: B3): Vote3 = b3 match { + case B3(a,b,c) => Seq(a,b,c).filter((b: Boolean) => b).size match { + case s if s >= 2 => Yay + case _ => Nay + } + } + + def voteYay(vs: Vote3): Vote3 = vs match { + case Yay => Yay + case Nay => Top + } + + // def voteYayT(pre: B3, post: B3): Formula = (pre,post) match { + // case ((a1,a2,a3),(b1,b2,b3)) => + // b1 && ((a2 && b2) || !(a2 || b2)) && ((a3 && b3) || !(a3 || b3)) + + // } + + def voteNay(vs: Vote3): Vote3 = vs match { + case Nay => Nay + case Yay => Top + } + + // def voteNayT(pre: B3, post: B3): Formula = (pre,post) match { + // case ((a1,a2,a3),(b1,b2,b3)) => + // !b1 && ((a2 && b2) || !(a2 || b2)) && ((a3 && b3) || !(a3 || b3)) + // } +} diff --git a/src/main/scala/edu/colorado/plv/cuanto/abstracting/symbolic/BoolVote.scala b/src/main/scala/edu/colorado/plv/cuanto/abstracting/bitvectors/BoolVote.scala similarity index 70% rename from src/main/scala/edu/colorado/plv/cuanto/abstracting/symbolic/BoolVote.scala rename to src/main/scala/edu/colorado/plv/cuanto/abstracting/bitvectors/BoolVote.scala index ed380cc..edb23bd 100644 --- a/src/main/scala/edu/colorado/plv/cuanto/abstracting/symbolic/BoolVote.scala +++ b/src/main/scala/edu/colorado/plv/cuanto/abstracting/bitvectors/BoolVote.scala @@ -2,12 +2,6 @@ package edu.colorado.plv.cuanto.abstracting package symbolic -import cafesat.api._ -import cafesat.api.FormulaBuilder._ -import cafesat.api.Formulas._ - - - sealed class BoolVote case object Top extends BoolVote case object Yay extends BoolVote @@ -17,7 +11,7 @@ case object Bot extends BoolVote object BoolVote extends Abstraction with Abstractable[(Boolean,Boolean,Boolean),BoolVote] { type A = BoolVote - type B3 = (PropVar,PropVar,PropVar) + // type B3 = (PropVar,PropVar,PropVar) val bottom: BoolVote = Bot def isBottom(e: BoolVote): Boolean = e match { @@ -50,19 +44,19 @@ object BoolVote extends Abstraction case Nay => Top } - def voteYayT(pre: B3, post: B3): Formula = (pre,post) match { - case ((a1,a2,a3),(b1,b2,b3)) => - b1 && ((a2 && b2) || !(a2 || b2)) && ((a3 && b3) || !(a3 || b3)) + // def voteYayT(pre: B3, post: B3): Formula = (pre,post) match { + // case ((a1,a2,a3),(b1,b2,b3)) => + // b1 && ((a2 && b2) || !(a2 || b2)) && ((a3 && b3) || !(a3 || b3)) - } + // } def voteNay(vs: BoolVote): BoolVote = vs match { case Nay => Nay case Yay => Top } - def voteNayT(pre: B3, post: B3): Formula = (pre,post) match { - case ((a1,a2,a3),(b1,b2,b3)) => - !b1 && ((a2 && b2) || !(a2 || b2)) && ((a3 && b3) || !(a3 || b3)) - } + // def voteNayT(pre: B3, post: B3): Formula = (pre,post) match { + // case ((a1,a2,a3),(b1,b2,b3)) => + // !b1 && ((a2 && b2) || !(a2 || b2)) && ((a3 && b3) || !(a3 || b3)) + // } } diff --git a/src/main/scala/edu/colorado/plv/cuanto/abstracting/symbolic/package.scala b/src/main/scala/edu/colorado/plv/cuanto/abstracting/symbolic/package.scala index 3e6e2f7..0d93448 100644 --- a/src/main/scala/edu/colorado/plv/cuanto/abstracting/symbolic/package.scala +++ b/src/main/scala/edu/colorado/plv/cuanto/abstracting/symbolic/package.scala @@ -1,10 +1,5 @@ package edu.colorado.plv.cuanto.abstracting -import cafesat.api._ -import cafesat.api.FormulaBuilder._ -import cafesat.api.Formulas._ - - package symbolic { trait Logical[L,C] { @@ -28,38 +23,38 @@ package object symbolic { type B3P = (Boolean,Boolean,Boolean) - val av: PropVar = propVar("a") - val bv: PropVar = propVar("b") - val cv: PropVar = propVar("c") - val av2: PropVar = propVar("a2") - val bv2: PropVar = propVar("b2") - val cv2: PropVar = propVar("c2") - - def postHatUp(t: (B3,B3) => Formula, v: BoolVote): BoolVote = { - def recur(low: BoolVote): BoolVote = - modelBools(symbolicBoolVote(v,(av,bv,cv)) && t((av,bv,cv),(av2,bv2,cv2)) && (!symbolicBoolVote(low,(av2,bv2,cv2)))) match { - case Some((s,sn)) => recur(join(low,beta(sn))) - case _ => low - } - recur(bottom: BoolVote) - } - - val yayFormula: B3 => Formula = - {case (a,b,c) => (a && b) || (a && c) || (b && c) } - - def symbolicBoolVote(a: BoolVote, bs: B3): Formula = a match { - case Top => true - case Yay => yayFormula(bs) - case Nay => !yayFormula(bs) - case Bot => false - } - - def modelBools(f: Formula): Option[(B3P,B3P)] = { - Solver.solveForSatisfiability(f) match { - case None => None - case Some(model) => { - Some((model(av),model(bv),model(cv)),(model(av2),model(bv2),model(cv2))) - } - } - } + // val av: PropVar = propVar("a") + // val bv: PropVar = propVar("b") + // val cv: PropVar = propVar("c") + // val av2: PropVar = propVar("a2") + // val bv2: PropVar = propVar("b2") + // val cv2: PropVar = propVar("c2") + + // def postHatUp(t: (B3,B3) => Formula, v: BoolVote): BoolVote = { + // def recur(low: BoolVote): BoolVote = + // modelBools(symbolicBoolVote(v,(av,bv,cv)) && t((av,bv,cv),(av2,bv2,cv2)) && (!symbolicBoolVote(low,(av2,bv2,cv2)))) match { + // case Some((s,sn)) => recur(join(low,beta(sn))) + // case _ => low + // } + // recur(bottom: BoolVote) + // } + + // val yayFormula: B3 => Formula = + // {case (a,b,c) => (a && b) || (a && c) || (b && c) } + + // def symbolicBoolVote(a: BoolVote, bs: B3): Formula = a match { + // case Top => true + // case Yay => yayFormula(bs) + // case Nay => !yayFormula(bs) + // case Bot => false + // } + + // def modelBools(f: Formula): Option[(B3P,B3P)] = { + // Solver.solveForSatisfiability(f) match { + // case None => None + // case Some(model) => { + // Some((model(av),model(bv),model(cv)),(model(av2),model(bv2),model(cv2))) + // } + // } + // } } From a8dd1e1373008e0762b5adf690bcc2c6b88465b5 Mon Sep 17 00:00:00 2001 From: octalsrc Date: Wed, 7 Jun 2017 09:19:16 -0600 Subject: [PATCH 06/13] Define symbolic transformers voteYay and voteNay as SMT terms --- .../cuanto/abstracting/bitvectors/B3.scala | 81 +++++++++++++++---- 1 file changed, 64 insertions(+), 17 deletions(-) diff --git a/src/main/scala/edu/colorado/plv/cuanto/abstracting/bitvectors/B3.scala b/src/main/scala/edu/colorado/plv/cuanto/abstracting/bitvectors/B3.scala index 3a39213..b803184 100644 --- a/src/main/scala/edu/colorado/plv/cuanto/abstracting/bitvectors/B3.scala +++ b/src/main/scala/edu/colorado/plv/cuanto/abstracting/bitvectors/B3.scala @@ -2,24 +2,79 @@ package edu.colorado.plv.cuanto.abstracting package bitvectors -import smtlib.theories._ +import smtlib.theories.Core._ +import smtlib.theories.Constructors._ import smtlib.parser.Terms._ +/** The concrete form, a tuple of three booleans */ case class B3(bool1: Boolean, bool2: Boolean, bool3: Boolean) -case class B3SMT(boo1: Term, bool2: Term, bool3: Term) +/** The symbolic form, capable of fully representing a B3 as an SMT + * script */ +case class SMT3(bool1: Term, bool2: Term, bool3: Term) + +object SMT3 { + implicit def represent(b: Boolean): Term => Term = { (t: Term) => + b match { + case true => t + case false => not(t) + } + } + + implicit def represent(b3: B3): SMT3 => Term = { (smt: SMT3) => + and( + b3.bool1(smt.bool1), + b3.bool2(smt.bool2), + b3.bool3(smt.bool3) + ) + } + + implicit def represent(v: Vote3): SMT3 => Term = { (smt: SMT3) => + + def yayFormula(smt: SMT3): Term = smt match { + case SMT3(a,b,c) => or(and(a,b), and(b,c), and(c,a)) + } + + v match { + case Top => True() + case Yay => yayFormula(smt) + case Nay => not(yayFormula(smt)) + case Bot => False() + } + } + + /** A single vote changes from Nay to Yay (note that this will fail if + * all votes in the precondition are already Yay; this could maybe + * be defined to also pass in that case?) */ + def voteYay(pre: SMT3, post: SMT3): Term = (pre,post) match { + case (SMT3(a,b,c),SMT3(an,bn,cn)) => + or( + and(not(a),an), + and(not(b),bn), + and(not(c),cn) + ) + } + + /** Opposite of voteYay */ + def voteNay(pre: SMT3, post: SMT3): Term = (pre,post) match { + case (SMT3(a,b,c),SMT3(an,bn,cn)) => + or( + and(a,not(an)), + and(b,not(bn)), + and(c,not(cn)) + ) + } -object B3SMT extends Abstractable[B3,B3SMT] { - def represent(b3: B3): B3SMT = ??? } -sealed class Vote3 +/** The abstract form, which loses precision */ +sealed abstract class Vote3 case object Top extends Vote3 case object Yay extends Vote3 case object Nay extends Vote3 case object Bot extends Vote3 -object Vote3 extends Abstraction with Abstractable[B3,Vote3] { +object Vote3 extends Abstraction { type A = Vote3 val bottom: Vote3 = Bot @@ -42,7 +97,7 @@ object Vote3 extends Abstraction with Abstractable[B3,Vote3] { case _ => Top } - def represent(b3: B3): Vote3 = b3 match { + implicit def represent(b3: B3): Vote3 = b3 match { case B3(a,b,c) => Seq(a,b,c).filter((b: Boolean) => b).size match { case s if s >= 2 => Yay case _ => Nay @@ -52,21 +107,13 @@ object Vote3 extends Abstraction with Abstractable[B3,Vote3] { def voteYay(vs: Vote3): Vote3 = vs match { case Yay => Yay case Nay => Top + case v => v } - // def voteYayT(pre: B3, post: B3): Formula = (pre,post) match { - // case ((a1,a2,a3),(b1,b2,b3)) => - // b1 && ((a2 && b2) || !(a2 || b2)) && ((a3 && b3) || !(a3 || b3)) - - // } - def voteNay(vs: Vote3): Vote3 = vs match { case Nay => Nay case Yay => Top + case v => v } - // def voteNayT(pre: B3, post: B3): Formula = (pre,post) match { - // case ((a1,a2,a3),(b1,b2,b3)) => - // !b1 && ((a2 && b2) || !(a2 || b2)) && ((a3 && b3) || !(a3 || b3)) - // } } From 8a767dc995d7d21dc66c4b1368121ca8f0e596c5 Mon Sep 17 00:00:00 2001 From: octalsrc Date: Fri, 9 Jun 2017 10:57:44 -0600 Subject: [PATCH 07/13] Define postHatUp on parametric types --- .../cuanto/abstracting/symbolic/package.scala | 75 +++++++------------ 1 file changed, 28 insertions(+), 47 deletions(-) diff --git a/src/main/scala/edu/colorado/plv/cuanto/abstracting/symbolic/package.scala b/src/main/scala/edu/colorado/plv/cuanto/abstracting/symbolic/package.scala index 0d93448..7aac543 100644 --- a/src/main/scala/edu/colorado/plv/cuanto/abstracting/symbolic/package.scala +++ b/src/main/scala/edu/colorado/plv/cuanto/abstracting/symbolic/package.scala @@ -1,60 +1,41 @@ package edu.colorado.plv.cuanto.abstracting -package symbolic { +import smtlib.theories.Core._ +import smtlib.theories.Constructors._ +import smtlib.parser.Terms._ - trait Logical[L,C] { - implicit def model(l: L): Option[C] - } +package symbolic { - trait Symbolic[A,L] { - implicit def gammaHat(a: A): L + trait Abstract[A] { + val bottom: A + def isBottom(e: A): Boolean + def implies(e1: A, e2: A): Boolean + def join(e1: A, e2: A): A } - trait Logic { - type L - + object Abstract { + def apply[A : Abstract]: Abstract[A] = implicitly[Abstract[A]] } } package object symbolic { - import BoolVote._ - - type B3P = (Boolean,Boolean,Boolean) - - // val av: PropVar = propVar("a") - // val bv: PropVar = propVar("b") - // val cv: PropVar = propVar("c") - // val av2: PropVar = propVar("a2") - // val bv2: PropVar = propVar("b2") - // val cv2: PropVar = propVar("c2") - - // def postHatUp(t: (B3,B3) => Formula, v: BoolVote): BoolVote = { - // def recur(low: BoolVote): BoolVote = - // modelBools(symbolicBoolVote(v,(av,bv,cv)) && t((av,bv,cv),(av2,bv2,cv2)) && (!symbolicBoolVote(low,(av2,bv2,cv2)))) match { - // case Some((s,sn)) => recur(join(low,beta(sn))) - // case _ => low - // } - // recur(bottom: BoolVote) - // } - - // val yayFormula: B3 => Formula = - // {case (a,b,c) => (a && b) || (a && c) || (b && c) } - - // def symbolicBoolVote(a: BoolVote, bs: B3): Formula = a match { - // case Top => true - // case Yay => yayFormula(bs) - // case Nay => !yayFormula(bs) - // case Bot => false - // } - - // def modelBools(f: Formula): Option[(B3P,B3P)] = { - // Solver.solveForSatisfiability(f) match { - // case None => None - // case Some(model) => { - // Some((model(av),model(bv),model(cv)),(model(av2),model(bv2),model(cv2))) - // } - // } - // } + def postHatUp[C,A : Abstract,L]( + model: ((L => Term),(Term => Term),(L => Term)) => Option[(C,C)], + beta: C => A, + gammaHat: A => (L => Term), + t: Term => Term, + v: A + ): A = { + val notGammaHat = (e: A) => (l: L) => not(gammaHat(e)(l)) + def recur(low: A): A = + model(gammaHat(v),t,notGammaHat(low)) match { + case Some((s,sn)) => + recur(Abstract[A].join(low,beta(sn))) + case _ => low + } + recur(Abstract[A].bottom) + } + } From 62b5a63b046088251d164c534ed484a50ad45e5a Mon Sep 17 00:00:00 2001 From: octalsrc Date: Fri, 9 Jun 2017 11:32:12 -0600 Subject: [PATCH 08/13] Stub out B3 requirements for postHatUp --- .../cuanto/abstracting/bitvectors/B3.scala | 22 +++++++++++++++++++ .../cuanto/abstracting/symbolic/package.scala | 11 +++++----- 2 files changed, 28 insertions(+), 5 deletions(-) diff --git a/src/main/scala/edu/colorado/plv/cuanto/abstracting/bitvectors/B3.scala b/src/main/scala/edu/colorado/plv/cuanto/abstracting/bitvectors/B3.scala index b803184..a5c9a9f 100644 --- a/src/main/scala/edu/colorado/plv/cuanto/abstracting/bitvectors/B3.scala +++ b/src/main/scala/edu/colorado/plv/cuanto/abstracting/bitvectors/B3.scala @@ -6,14 +6,36 @@ import smtlib.theories.Core._ import smtlib.theories.Constructors._ import smtlib.parser.Terms._ +import symbolic._ + /** The concrete form, a tuple of three booleans */ case class B3(bool1: Boolean, bool2: Boolean, bool3: Boolean) +object B3 { + val postHatUpInst = + (t: Term => Term, v: Vote3) => postHatUp(modelB3 _,b3ToVote3 _,vote3GammaHat _,t,not,v) + + def b3ToVote3(b: B3): Vote3 = ??? + def vote3GammaHat(v: Vote3): SMT3 => Term = ??? + + implicit val abstractVote3: Abstract[Vote3] = ??? + + def modelB3( + s1: (SMT3 => Term), + t: (Term => Term), + s2: (SMT3 => Term) + ): Option[(B3,B3)] = ??? + +} + /** The symbolic form, capable of fully representing a B3 as an SMT * script */ case class SMT3(bool1: Term, bool2: Term, bool3: Term) object SMT3 { + + + implicit def represent(b: Boolean): Term => Term = { (t: Term) => b match { case true => t diff --git a/src/main/scala/edu/colorado/plv/cuanto/abstracting/symbolic/package.scala b/src/main/scala/edu/colorado/plv/cuanto/abstracting/symbolic/package.scala index 7aac543..76455d3 100644 --- a/src/main/scala/edu/colorado/plv/cuanto/abstracting/symbolic/package.scala +++ b/src/main/scala/edu/colorado/plv/cuanto/abstracting/symbolic/package.scala @@ -21,14 +21,15 @@ package symbolic { package object symbolic { - def postHatUp[C,A : Abstract,L]( - model: ((L => Term),(Term => Term),(L => Term)) => Option[(C,C)], + def postHatUp[C,A : Abstract,L,T]( + model: ((L => T),(T => T),(L => T)) => Option[(C,C)], beta: C => A, - gammaHat: A => (L => Term), - t: Term => Term, + gammaHat: A => (L => T), + t: T => T, + neg: T => T, v: A ): A = { - val notGammaHat = (e: A) => (l: L) => not(gammaHat(e)(l)) + val notGammaHat = (e: A) => (l: L) => neg(gammaHat(e)(l)) def recur(low: A): A = model(gammaHat(v),t,notGammaHat(low)) match { case Some((s,sn)) => From 3d365ae47c65b41ce791d047a6e7401ecaa4b77c Mon Sep 17 00:00:00 2001 From: octalsrc Date: Tue, 13 Jun 2017 18:11:13 -0600 Subject: [PATCH 09/13] Add examples for scala-smtlib as a test suite --- .../cuanto/example/ScalaSmtlibExamples.scala | 120 ++++++++++++++++++ 1 file changed, 120 insertions(+) create mode 100644 src/test/scala/edu/colorado/plv/cuanto/example/ScalaSmtlibExamples.scala diff --git a/src/test/scala/edu/colorado/plv/cuanto/example/ScalaSmtlibExamples.scala b/src/test/scala/edu/colorado/plv/cuanto/example/ScalaSmtlibExamples.scala new file mode 100644 index 0000000..59dc965 --- /dev/null +++ b/src/test/scala/edu/colorado/plv/cuanto/example/ScalaSmtlibExamples.scala @@ -0,0 +1,120 @@ +package edu.colorado.plv.cuanto +package example + +import org.scalatest.tagobjects.Slow + +import smtlib.{ + Interpreter +} +import smtlib.interpreters.{ + Z3Interpreter +} +import smtlib.parser.Terms.{ + SSymbol, + Term, + QualifiedIdentifier, + SimpleIdentifier +} +import smtlib.parser.Commands.{ + Command, + DeclareConst, + Assert, + CheckSat, + GetModel, + DefineFun, + FunDef, + Push, + Pop +} +import smtlib.parser.CommandsResponses.{ + Success, + CheckSatStatus, + SatStatus, + UnsatStatus, + GetModelResponseSuccess, + Error +} +import smtlib.theories.Ints.{ + IntSort, + NumeralLit, + GreaterEquals, + GreaterThan, + LessThan, + Neg +} +import smtlib.theories.Constructors.{ + and, + not => notTerm +} + +/** + * Usage examples based on the scala-smtlib integration tests + * + * [[https://github.com/regb/scala-smtlib/blob/v0.2.1/src/it/scala/smtlib/it/SmtLibRunnerTests.scala]] + * + * @author Nicholas Lewchenko + */ +class ScalaSmtlibExample extends CuantoSpec { + + "Evaluating SMT scripts" should "go like this" taggedAs(Slow) in { + forAll (testCmds) { (cmd,res) => z3.eval(cmd) should equal (res) } + } + + lazy val z3: Interpreter = Z3Interpreter.buildDefault + + val zero: Term = NumeralLit(0) + val one: Term = NumeralLit(1) + val three: Term = NumeralLit(3) + + val mkVar: SSymbol => Term = name => + QualifiedIdentifier(SimpleIdentifier(name)) + + val xs: SSymbol = SSymbol("x") + val ys: SSymbol = SSymbol("y") + val x: Term = mkVar(xs) + val y: Term = mkVar(ys) + + val goodExpr: Term = + and( + GreaterEquals(x,zero), + notTerm(GreaterThan(x,three)), + LessThan(y,x) + ) + + /** Models are returned as sequences of "define-fun" commands */ + val goodModel: List[Command] = List( + DefineFun(FunDef(xs, List.empty, IntSort(), zero)), + DefineFun(FunDef(ys, List.empty, IntSort(), Neg(one))) + ) + + val badExpr: Term = + and( + GreaterEquals(x,three), + LessThan(x,zero) + ) + + /** This is an example SMT script (as a sequence of commands, which + * are given to the interpreter one by one) + * + * On the left is the command, and on the right is the response + * that is received. + */ + val testCmds = Table( + "command" -> "response", + DeclareConst(xs,IntSort()) -> Success, + DeclareConst(ys,IntSort()) -> Success, + + Push(0) -> Success, + Assert(goodExpr) -> Success, + CheckSat() -> CheckSatStatus(SatStatus), + GetModel() -> GetModelResponseSuccess(goodModel), + Pop(0) -> Success, + + Push(0) -> Success, + Assert(badExpr) -> Success, + CheckSat() -> CheckSatStatus(UnsatStatus), + GetModel() -> Error("line 23 column 10: model is not available"), + Pop(0) -> Success + ) + +} From 6111f33ac80f63911e7441fae96e84ce07dbe652 Mon Sep 17 00:00:00 2001 From: octalsrc Date: Tue, 13 Jun 2017 18:28:14 -0600 Subject: [PATCH 10/13] Stub out tests --- .../cuanto/abstracting/bitvectors/B3.scala | 294 +++++++++++------- .../abstracting/bitvectors/BoolVote.scala | 62 ---- .../cuanto/abstracting/symbolic/package.scala | 4 +- .../symbolic/SymbolicAbstractionSpec.scala | 23 +- 4 files changed, 187 insertions(+), 196 deletions(-) delete mode 100644 src/main/scala/edu/colorado/plv/cuanto/abstracting/bitvectors/BoolVote.scala diff --git a/src/main/scala/edu/colorado/plv/cuanto/abstracting/bitvectors/B3.scala b/src/main/scala/edu/colorado/plv/cuanto/abstracting/bitvectors/B3.scala index a5c9a9f..d454e11 100644 --- a/src/main/scala/edu/colorado/plv/cuanto/abstracting/bitvectors/B3.scala +++ b/src/main/scala/edu/colorado/plv/cuanto/abstracting/bitvectors/B3.scala @@ -2,9 +2,15 @@ package edu.colorado.plv.cuanto.abstracting package bitvectors -import smtlib.theories.Core._ -import smtlib.theories.Constructors._ -import smtlib.parser.Terms._ +import scala.collection.immutable.{Map => IMap} + +import smtlib._ +import interpreters.Z3Interpreter +import theories.Core._ +import theories.Constructors._ +import parser.Terms._ +import parser.Commands._ +import parser.CommandsResponses._ import symbolic._ @@ -13,129 +19,179 @@ case class B3(bool1: Boolean, bool2: Boolean, bool3: Boolean) object B3 { val postHatUpInst = - (t: Term => Term, v: Vote3) => postHatUp(modelB3 _,b3ToVote3 _,vote3GammaHat _,t,not,v) - - def b3ToVote3(b: B3): Vote3 = ??? - def vote3GammaHat(v: Vote3): SMT3 => Term = ??? - - implicit val abstractVote3: Abstract[Vote3] = ??? - - def modelB3( - s1: (SMT3 => Term), - t: (Term => Term), - s2: (SMT3 => Term) - ): Option[(B3,B3)] = ??? - -} - -/** The symbolic form, capable of fully representing a B3 as an SMT - * script */ -case class SMT3(bool1: Term, bool2: Term, bool3: Term) - -object SMT3 { - - - - implicit def represent(b: Boolean): Term => Term = { (t: Term) => - b match { - case true => t - case false => not(t) - } - } - - implicit def represent(b3: B3): SMT3 => Term = { (smt: SMT3) => - and( - b3.bool1(smt.bool1), - b3.bool2(smt.bool2), - b3.bool3(smt.bool3) + (t: (SMT3,SMT3) => Term, v: Vote3) => postHatUp( + SMT3.model _, + Vote3.represent _, + SMT3.gammaHat _, + t, + not, + v ) - } - implicit def represent(v: Vote3): SMT3 => Term = { (smt: SMT3) => - - def yayFormula(smt: SMT3): Term = smt match { - case SMT3(a,b,c) => or(and(a,b), and(b,c), and(c,a)) + /** The symbolic form, capable of fully representing a B3 as an SMT + * script */ + case class SMT3(bool1: Term, bool2: Term, bool3: Term) + + object SMT3 { + + def model( + s1: (SMT3 => Term), + t: ((SMT3,SMT3) => Term), + s2: (SMT3 => Term) + ): Option[(B3,B3)] = { + val a1 = SSymbol("a1") + val b1 = SSymbol("b1") + val c1 = SSymbol("c1") + val a2 = SSymbol("a2") + val b2 = SSymbol("b2") + val c2 = SSymbol("c2") + + val mkTerm = (s: SSymbol) => QualifiedIdentifier(SimpleIdentifier(s)) + val mkSMT3 = (a: SSymbol,b: SSymbol,c: SSymbol) => + SMT3(mkTerm(a),mkTerm(b),mkTerm(c)) + + val z3 = Z3Interpreter.buildDefault + + val smt1 = mkSMT3(a1,b1,c1) + val smt2 = mkSMT3(a2,b2,c2) + + Seq( + DeclareConst(a1,BoolSort()), + DeclareConst(b1,BoolSort()), + DeclareConst(c1,BoolSort()), + DeclareConst(a2,BoolSort()), + DeclareConst(b2,BoolSort()), + DeclareConst(c2,BoolSort()), + + Assert( + and( + s1(smt1), + s2(smt2), + t(smt1,smt2) + ) + ), + + CheckSat() + ).map(z3.eval) + + z3.eval(GetModel()) match { + case GetModelResponseSuccess(m) => + val res = comprehend(m) + for { + boolA1 <- res get a1 + boolB1 <- res get b1 + boolC1 <- res get c1 + boolA2 <- res get a2 + boolB2 <- res get b2 + boolC2 <- res get c2 + } yield (( + B3(boolA1,boolB1,boolC1), + B3(boolA2,boolB2,boolC2) + )) + case _ => None + } } - - v match { - case Top => True() - case Yay => yayFormula(smt) - case Nay => not(yayFormula(smt)) - case Bot => False() + + def comprehend(m: List[SExpr]): IMap[SSymbol,Boolean] = + m.foldLeft[IMap[SSymbol,Boolean]](IMap.empty)({(acc: IMap[SSymbol,Boolean],i: SExpr) => acc}) + + def gammaHat(v: Vote3): SMT3 => Term = { (smt: SMT3) => + def yayFormula(smt: SMT3): Term = smt match { + case SMT3(a,b,c) => or(and(a,b), and(b,c), and(c,a)) + } + v match { + case Top => True() + case Yay => yayFormula(smt) + case Nay => not(yayFormula(smt)) + case Bot => False() + } } - } - - /** A single vote changes from Nay to Yay (note that this will fail if - * all votes in the precondition are already Yay; this could maybe - * be defined to also pass in that case?) */ - def voteYay(pre: SMT3, post: SMT3): Term = (pre,post) match { - case (SMT3(a,b,c),SMT3(an,bn,cn)) => - or( - and(not(a),an), - and(not(b),bn), - and(not(c),cn) - ) - } - - /** Opposite of voteYay */ - def voteNay(pre: SMT3, post: SMT3): Term = (pre,post) match { - case (SMT3(a,b,c),SMT3(an,bn,cn)) => - or( - and(a,not(an)), - and(b,not(bn)), - and(c,not(cn)) + + + implicit def represent(b: Boolean): Term => Term = { (t: Term) => + b match { + case true => t + case false => not(t) + } + } + + implicit def represent(b3: B3): SMT3 => Term = { (smt: SMT3) => + and( + b3.bool1(smt.bool1), + b3.bool2(smt.bool2), + b3.bool3(smt.bool3) ) - } - -} - -/** The abstract form, which loses precision */ -sealed abstract class Vote3 -case object Top extends Vote3 -case object Yay extends Vote3 -case object Nay extends Vote3 -case object Bot extends Vote3 - -object Vote3 extends Abstraction { - type A = Vote3 - - val bottom: Vote3 = Bot - - def isBottom(e: Vote3): Boolean = e match { - case Bot => true - case _ => false - } - - def implies(e1: Vote3, e2: Vote3): Boolean = (e1,e2) match { - case (Bot,_) => true - case (_,Top) => true - case _ => false - } - - def join(e1: Vote3, e2: Vote3): Vote3 = (e1, e2) match { - case _ if e1 == e2 => e1 - case (Bot, _) => e2 - case (_, Bot) => e1 - case _ => Top - } - - implicit def represent(b3: B3): Vote3 = b3 match { - case B3(a,b,c) => Seq(a,b,c).filter((b: Boolean) => b).size match { - case s if s >= 2 => Yay - case _ => Nay } + + /** A single vote changes from Nay to Yay (note that this will fail if + * all votes in the precondition are already Yay; this could maybe + * be defined to also pass in that case?) */ + def voteYay(pre: SMT3, post: SMT3): Term = (pre,post) match { + case (SMT3(a,b,c),SMT3(an,bn,cn)) => + or( + and(not(a),an), + and(not(b),bn), + and(not(c),cn) + ) + } + + /** Opposite of voteYay */ + def voteNay(pre: SMT3, post: SMT3): Term = (pre,post) match { + case (SMT3(a,b,c),SMT3(an,bn,cn)) => + or( + and(a,not(an)), + and(b,not(bn)), + and(c,not(cn)) + ) + } + } - - def voteYay(vs: Vote3): Vote3 = vs match { - case Yay => Yay - case Nay => Top - case v => v - } - - def voteNay(vs: Vote3): Vote3 = vs match { - case Nay => Nay - case Yay => Top - case v => v + + /** The abstract form, which loses precision */ + sealed abstract class Vote3 + case object Top extends Vote3 + case object Yay extends Vote3 + case object Nay extends Vote3 + case object Bot extends Vote3 + + object Vote3 { + implicit val abstractVote3: Abstract[Vote3] = new Abstract[Vote3] { + + val bottom: Vote3 = Bot + def isBottom(e: Vote3): Boolean = e == bottom + def implies(e1: Vote3, e2: Vote3): Boolean = (e1,e2) match { + case (Bot,_) => true + case (_,Top) => true + case _ => false + } + def join(e1: Vote3, e2: Vote3): Vote3 = (e1, e2) match { + case _ if e1 == e2 => e1 + case (Bot, _) => e2 + case (_, Bot) => e1 + case _ => Top + } + + } + + def represent(b3: B3): Vote3 = b3 match { + case B3(a,b,c) => Seq(a,b,c).filter((b: Boolean) => b).size match { + case s if s >= 2 => Yay + case _ => Nay + } + } + + def voteYay(vs: Vote3): Vote3 = vs match { + case Yay => Yay + case Nay => Top + case v => v + } + + def voteNay(vs: Vote3): Vote3 = vs match { + case Nay => Nay + case Yay => Top + case v => v + } + } } diff --git a/src/main/scala/edu/colorado/plv/cuanto/abstracting/bitvectors/BoolVote.scala b/src/main/scala/edu/colorado/plv/cuanto/abstracting/bitvectors/BoolVote.scala deleted file mode 100644 index edb23bd..0000000 --- a/src/main/scala/edu/colorado/plv/cuanto/abstracting/bitvectors/BoolVote.scala +++ /dev/null @@ -1,62 +0,0 @@ -package edu.colorado.plv.cuanto.abstracting - -package symbolic - -sealed class BoolVote -case object Top extends BoolVote -case object Yay extends BoolVote -case object Nay extends BoolVote -case object Bot extends BoolVote - -object BoolVote extends Abstraction - with Abstractable[(Boolean,Boolean,Boolean),BoolVote] { - type A = BoolVote - // type B3 = (PropVar,PropVar,PropVar) - val bottom: BoolVote = Bot - - def isBottom(e: BoolVote): Boolean = e match { - case Bot => true - case _ => false - } - - def implies(e1: BoolVote, e2: BoolVote): Boolean = (e1,e2) match { - case (Bot,_) => true - case (_,Top) => true - case _ => false - } - - def join(e1: BoolVote, e2: BoolVote): BoolVote = (e1, e2) match { - case _ if e1 == e2 => e1 - case (Bot, _) => e2 - case (_, Bot) => e1 - case _ => Top - } - - def represent(bs: (Boolean,Boolean,Boolean)): BoolVote = bs match { - case (a,b,c) => Seq(a,b,c).filter((b: Boolean) => b).size match { - case s if s >= 2 => Yay - case _ => Nay - } - } - - def voteYay(vs: BoolVote): BoolVote = vs match { - case Yay => Yay - case Nay => Top - } - - // def voteYayT(pre: B3, post: B3): Formula = (pre,post) match { - // case ((a1,a2,a3),(b1,b2,b3)) => - // b1 && ((a2 && b2) || !(a2 || b2)) && ((a3 && b3) || !(a3 || b3)) - - // } - - def voteNay(vs: BoolVote): BoolVote = vs match { - case Nay => Nay - case Yay => Top - } - - // def voteNayT(pre: B3, post: B3): Formula = (pre,post) match { - // case ((a1,a2,a3),(b1,b2,b3)) => - // !b1 && ((a2 && b2) || !(a2 || b2)) && ((a3 && b3) || !(a3 || b3)) - // } -} diff --git a/src/main/scala/edu/colorado/plv/cuanto/abstracting/symbolic/package.scala b/src/main/scala/edu/colorado/plv/cuanto/abstracting/symbolic/package.scala index 76455d3..8dd9a30 100644 --- a/src/main/scala/edu/colorado/plv/cuanto/abstracting/symbolic/package.scala +++ b/src/main/scala/edu/colorado/plv/cuanto/abstracting/symbolic/package.scala @@ -22,10 +22,10 @@ package symbolic { package object symbolic { def postHatUp[C,A : Abstract,L,T]( - model: ((L => T),(T => T),(L => T)) => Option[(C,C)], + model: ((L => T),((L,L) => T),(L => T)) => Option[(C,C)], beta: C => A, gammaHat: A => (L => T), - t: T => T, + t: (L,L) => T, neg: T => T, v: A ): A = { diff --git a/src/test/scala/edu/colorado/plv/cuanto/abstracting/symbolic/SymbolicAbstractionSpec.scala b/src/test/scala/edu/colorado/plv/cuanto/abstracting/symbolic/SymbolicAbstractionSpec.scala index 4301d3d..96b2869 100644 --- a/src/test/scala/edu/colorado/plv/cuanto/abstracting/symbolic/SymbolicAbstractionSpec.scala +++ b/src/test/scala/edu/colorado/plv/cuanto/abstracting/symbolic/SymbolicAbstractionSpec.scala @@ -1,24 +1,21 @@ package edu.colorado.plv.cuanto package abstracting.symbolic -import org.scalatest.{FlatSpec, Matchers} -import org.scalatest.prop.PropertyChecks +import abstracting.bitvectors.B3._ -class SymbolicAbstractionSpec extends FlatSpec with Matchers with PropertyChecks { - import BoolVote._ +class SymbolicAbstractionSpec extends CuantoSpec { + + val avals = Seq(Top,Yay,Nay,Bot) "The postHat funtion" should "correctly model voteYay" in { - postHatUp(voteYayT, Top) should equal (voteYay(Top)) - postHatUp(voteYayT, Yay) should equal (voteYay(Yay)) - postHatUp(voteYayT, Nay) should equal (voteYay(Nay)) - postHatUp(voteYayT, Bot) should equal (voteYay(Bot)) + avals.map({ + v => postHatUpInst(SMT3.voteYay,v) should equal (Vote3.voteYay(v)) + }) } "The postHat funtion" should "correctly model voteNay" in { - postHatUp(voteNayT, Top) should equal (voteNay(Top)) - postHatUp(voteNayT, Yay) should equal (voteNay(Yay)) - postHatUp(voteNayT, Nay) should equal (voteNay(Nay)) - postHatUp(voteNayT, Bot) should equal (voteNay(Bot)) + avals.map({ + v => postHatUpInst(SMT3.voteNay,v) should equal (Vote3.voteNay(v)) + }) } } - From 4cd9ec0d8e9f3643d66e0784bd481388489267c2 Mon Sep 17 00:00:00 2001 From: octalsrc Date: Wed, 14 Jun 2017 01:29:34 -0600 Subject: [PATCH 11/13] Add Core theory example to ScalaSmtlibExample --- .../cuanto/example/ScalaSmtlibExamples.scala | 18 +++++++++++++++--- 1 file changed, 15 insertions(+), 3 deletions(-) diff --git a/src/test/scala/edu/colorado/plv/cuanto/example/ScalaSmtlibExamples.scala b/src/test/scala/edu/colorado/plv/cuanto/example/ScalaSmtlibExamples.scala index 59dc965..543167c 100644 --- a/src/test/scala/edu/colorado/plv/cuanto/example/ScalaSmtlibExamples.scala +++ b/src/test/scala/edu/colorado/plv/cuanto/example/ScalaSmtlibExamples.scala @@ -34,6 +34,11 @@ import smtlib.parser.CommandsResponses.{ GetModelResponseSuccess, Error } +import smtlib.theories.Core.{ + True, + False, + Or +} import smtlib.theories.Ints.{ IntSort, NumeralLit, @@ -83,8 +88,8 @@ class ScalaSmtlibExample extends CuantoSpec { /** Models are returned as sequences of "define-fun" commands */ val goodModel: List[Command] = List( - DefineFun(FunDef(xs, List.empty, IntSort(), zero)), - DefineFun(FunDef(ys, List.empty, IntSort(), Neg(one))) + DefineFun(FunDef(ys, List.empty, IntSort(), Neg(one))), + DefineFun(FunDef(xs, List.empty, IntSort(), zero)) ) val badExpr: Term = @@ -101,6 +106,12 @@ class ScalaSmtlibExample extends CuantoSpec { */ val testCmds = Table( "command" -> "response", + + Push(0) -> Success, + Assert(Or(True(),False())) -> Success, + CheckSat() -> CheckSatStatus(SatStatus), + Pop(0) -> Success, + DeclareConst(xs,IntSort()) -> Success, DeclareConst(ys,IntSort()) -> Success, @@ -113,8 +124,9 @@ class ScalaSmtlibExample extends CuantoSpec { Push(0) -> Success, Assert(badExpr) -> Success, CheckSat() -> CheckSatStatus(UnsatStatus), - GetModel() -> Error("line 23 column 10: model is not available"), + GetModel() -> Error("line 31 column 10: model is not available"), Pop(0) -> Success + ) } From 406fbc8a142ea9bb80238f41275dc624ba4ea30b Mon Sep 17 00:00:00 2001 From: octalsrc Date: Wed, 14 Jun 2017 02:03:53 -0600 Subject: [PATCH 12/13] Correctly implement B3 Symbolic Abstraction tests --- .../cuanto/abstracting/bitvectors/B3.scala | 54 +++++++++++++------ .../cuanto/abstracting/symbolic/package.scala | 14 ++++- .../symbolic/SymbolicAbstractionSpec.scala | 1 + 3 files changed, 52 insertions(+), 17 deletions(-) diff --git a/src/main/scala/edu/colorado/plv/cuanto/abstracting/bitvectors/B3.scala b/src/main/scala/edu/colorado/plv/cuanto/abstracting/bitvectors/B3.scala index d454e11..7abe570 100644 --- a/src/main/scala/edu/colorado/plv/cuanto/abstracting/bitvectors/B3.scala +++ b/src/main/scala/edu/colorado/plv/cuanto/abstracting/bitvectors/B3.scala @@ -54,6 +54,10 @@ object B3 { val smt1 = mkSMT3(a1,b1,c1) val smt2 = mkSMT3(a2,b2,c2) + + println(s1(smt1)) + println(s2(smt2)) + println(t(smt1,smt2)) Seq( DeclareConst(a1,BoolSort()), @@ -92,12 +96,24 @@ object B3 { } } - def comprehend(m: List[SExpr]): IMap[SSymbol,Boolean] = - m.foldLeft[IMap[SSymbol,Boolean]](IMap.empty)({(acc: IMap[SSymbol,Boolean],i: SExpr) => acc}) + def comprehend(m: List[SExpr]): IMap[SSymbol,Boolean] = { + val p: (IMap[SSymbol,Boolean],SExpr) => IMap[SSymbol,Boolean] = { + (acc,i) => i match { + case DefineFun(FunDef(id,_,_,v)) => v match { + case True() => acc + (id -> true) + case Not(True()) => acc + (id -> false) + case False() => acc + (id -> false) + case _ => acc + } + case _ => acc + } + } + m.foldLeft[IMap[SSymbol,Boolean]](IMap.empty)(p) + } def gammaHat(v: Vote3): SMT3 => Term = { (smt: SMT3) => def yayFormula(smt: SMT3): Term = smt match { - case SMT3(a,b,c) => or(and(a,b), and(b,c), and(c,a)) + case SMT3(a,b,c) => Or(and(a,b), Or(and(b,c), and(c,a))) } v match { case Top => True() @@ -128,20 +144,20 @@ object B3 { * be defined to also pass in that case?) */ def voteYay(pre: SMT3, post: SMT3): Term = (pre,post) match { case (SMT3(a,b,c),SMT3(an,bn,cn)) => - or( - and(not(a),an), - and(not(b),bn), - and(not(c),cn) + Or( + and(not(a),an,Equals(b,bn),Equals(c,cn)), + and(Equals(a,an),not(b),bn,Equals(c,cn)), + and(Equals(a,an),Equals(b,bn),not(c),cn) ) } /** Opposite of voteYay */ def voteNay(pre: SMT3, post: SMT3): Term = (pre,post) match { case (SMT3(a,b,c),SMT3(an,bn,cn)) => - or( - and(a,not(an)), - and(b,not(bn)), - and(c,not(cn)) + Or( + and(a,not(an),Equals(b,bn),Equals(c,cn)), + and(Equals(a,an),b,not(bn),Equals(c,cn)), + and(Equals(a,an),Equals(b,bn),c,not(cn)) ) } @@ -173,11 +189,19 @@ object B3 { } + // def represent(b3: B3): Vote3 = b3 match { + // case B3(a,b,c) => Seq(a,b,c).filter((b: Boolean) => b).size match { + // case s if s >= 2 => Yay + // case _ => Nay + // } + // } + def represent(b3: B3): Vote3 = b3 match { - case B3(a,b,c) => Seq(a,b,c).filter((b: Boolean) => b).size match { - case s if s >= 2 => Yay - case _ => Nay - } + case B3(true,true,true) => Yay + case B3(true,true,_ ) => Yay + case B3(_ ,true,true) => Yay + case B3(true,_ ,true) => Yay + case _ => Nay } def voteYay(vs: Vote3): Vote3 = vs match { diff --git a/src/main/scala/edu/colorado/plv/cuanto/abstracting/symbolic/package.scala b/src/main/scala/edu/colorado/plv/cuanto/abstracting/symbolic/package.scala index 8dd9a30..846f554 100644 --- a/src/main/scala/edu/colorado/plv/cuanto/abstracting/symbolic/package.scala +++ b/src/main/scala/edu/colorado/plv/cuanto/abstracting/symbolic/package.scala @@ -32,9 +32,19 @@ package object symbolic { val notGammaHat = (e: A) => (l: L) => neg(gammaHat(e)(l)) def recur(low: A): A = model(gammaHat(v),t,notGammaHat(low)) match { - case Some((s,sn)) => + case Some((s,sn)) => { + println("found something") + println(s) + println(sn) + println(low) + println(beta(sn)) + println(Abstract[A].join(low,beta(sn))) recur(Abstract[A].join(low,beta(sn))) - case _ => low + } + case _ => { + println("did not find something") + low + } } recur(Abstract[A].bottom) } diff --git a/src/test/scala/edu/colorado/plv/cuanto/abstracting/symbolic/SymbolicAbstractionSpec.scala b/src/test/scala/edu/colorado/plv/cuanto/abstracting/symbolic/SymbolicAbstractionSpec.scala index 96b2869..597b1fa 100644 --- a/src/test/scala/edu/colorado/plv/cuanto/abstracting/symbolic/SymbolicAbstractionSpec.scala +++ b/src/test/scala/edu/colorado/plv/cuanto/abstracting/symbolic/SymbolicAbstractionSpec.scala @@ -18,4 +18,5 @@ class SymbolicAbstractionSpec extends CuantoSpec { v => postHatUpInst(SMT3.voteNay,v) should equal (Vote3.voteNay(v)) }) } + } From 850fce73cc608bfadb28ac963fd701289ce411dd Mon Sep 17 00:00:00 2001 From: octalsrc Date: Wed, 14 Jun 2017 08:50:43 -0600 Subject: [PATCH 13/13] Clean up, author name --- .../plv/cuanto/abstracting/Abstraction.scala | 18 ----------- .../cuanto/abstracting/bitvectors/B3.scala | 9 +++--- .../plv/cuanto/abstracting/package.scala | 14 +++++++++ .../cuanto/abstracting/symbolic/package.scala | 31 ++++--------------- .../symbolic/SymbolicAbstractionSpec.scala | 4 +++ .../cuanto/example/ScalaSmtlibExamples.scala | 4 +++ 6 files changed, 32 insertions(+), 48 deletions(-) delete mode 100644 src/main/scala/edu/colorado/plv/cuanto/abstracting/Abstraction.scala diff --git a/src/main/scala/edu/colorado/plv/cuanto/abstracting/Abstraction.scala b/src/main/scala/edu/colorado/plv/cuanto/abstracting/Abstraction.scala deleted file mode 100644 index 5b5ef01..0000000 --- a/src/main/scala/edu/colorado/plv/cuanto/abstracting/Abstraction.scala +++ /dev/null @@ -1,18 +0,0 @@ -package edu.colorado.plv.cuanto.abstracting - -/** Signature for a generic abstraction. - * - * An abstraction is a join semi-lattice. - * - * @author Bor-Yuh Evan Chang - */ -trait Abstraction { - /** The abstract element type. */ - type A - - val bottom: A - def isBottom(e: A): Boolean - - def implies(e1: A, e2: A): Boolean - def join(e1: A, e2: A): A -} diff --git a/src/main/scala/edu/colorado/plv/cuanto/abstracting/bitvectors/B3.scala b/src/main/scala/edu/colorado/plv/cuanto/abstracting/bitvectors/B3.scala index 7abe570..a5f75e7 100644 --- a/src/main/scala/edu/colorado/plv/cuanto/abstracting/bitvectors/B3.scala +++ b/src/main/scala/edu/colorado/plv/cuanto/abstracting/bitvectors/B3.scala @@ -1,5 +1,8 @@ package edu.colorado.plv.cuanto.abstracting +/** + * @author Nicholas Lewchenko + */ package bitvectors import scala.collection.immutable.{Map => IMap} @@ -55,10 +58,6 @@ object B3 { val smt1 = mkSMT3(a1,b1,c1) val smt2 = mkSMT3(a2,b2,c2) - println(s1(smt1)) - println(s2(smt2)) - println(t(smt1,smt2)) - Seq( DeclareConst(a1,BoolSort()), DeclareConst(b1,BoolSort()), @@ -171,7 +170,7 @@ object B3 { case object Bot extends Vote3 object Vote3 { - implicit val abstractVote3: Abstract[Vote3] = new Abstract[Vote3] { + implicit val abstractVote3: Abstraction[Vote3] = new Abstraction[Vote3] { val bottom: Vote3 = Bot def isBottom(e: Vote3): Boolean = e == bottom diff --git a/src/main/scala/edu/colorado/plv/cuanto/abstracting/package.scala b/src/main/scala/edu/colorado/plv/cuanto/abstracting/package.scala index 698cb2c..9296417 100644 --- a/src/main/scala/edu/colorado/plv/cuanto/abstracting/package.scala +++ b/src/main/scala/edu/colorado/plv/cuanto/abstracting/package.scala @@ -2,6 +2,7 @@ package edu.colorado.plv.cuanto /** * @author Bor-Yuh Evan Chang + * @author Nicholas Lewchenko */ package abstracting { @@ -22,5 +23,18 @@ package abstracting { @inline final implicit def beta(c: C): A = represent(c) } + trait Abstraction[A] { + val bottom: A + def isBottom(e: A): Boolean + def implies(e1: A, e2: A): Boolean + def join(e1: A, e2: A): A + } + + object Abstraction { + def apply[A : Abstraction]: Abstraction[A] = + implicitly[Abstraction[A]] + } + + } diff --git a/src/main/scala/edu/colorado/plv/cuanto/abstracting/symbolic/package.scala b/src/main/scala/edu/colorado/plv/cuanto/abstracting/symbolic/package.scala index 846f554..df0a22c 100644 --- a/src/main/scala/edu/colorado/plv/cuanto/abstracting/symbolic/package.scala +++ b/src/main/scala/edu/colorado/plv/cuanto/abstracting/symbolic/package.scala @@ -1,27 +1,15 @@ package edu.colorado.plv.cuanto.abstracting -import smtlib.theories.Core._ -import smtlib.theories.Constructors._ -import smtlib.parser.Terms._ - +/** + * @author Nicholas Lewchenko + */ package symbolic { - trait Abstract[A] { - val bottom: A - def isBottom(e: A): Boolean - def implies(e1: A, e2: A): Boolean - def join(e1: A, e2: A): A - } - - object Abstract { - def apply[A : Abstract]: Abstract[A] = implicitly[Abstract[A]] - } - } package object symbolic { - def postHatUp[C,A : Abstract,L,T]( + def postHatUp[C,A : Abstraction,L,T]( model: ((L => T),((L,L) => T),(L => T)) => Option[(C,C)], beta: C => A, gammaHat: A => (L => T), @@ -33,20 +21,13 @@ package object symbolic { def recur(low: A): A = model(gammaHat(v),t,notGammaHat(low)) match { case Some((s,sn)) => { - println("found something") - println(s) - println(sn) - println(low) - println(beta(sn)) - println(Abstract[A].join(low,beta(sn))) - recur(Abstract[A].join(low,beta(sn))) + recur(Abstraction[A].join(low,beta(sn))) } case _ => { - println("did not find something") low } } - recur(Abstract[A].bottom) + recur(Abstraction[A].bottom) } } diff --git a/src/test/scala/edu/colorado/plv/cuanto/abstracting/symbolic/SymbolicAbstractionSpec.scala b/src/test/scala/edu/colorado/plv/cuanto/abstracting/symbolic/SymbolicAbstractionSpec.scala index 597b1fa..739938c 100644 --- a/src/test/scala/edu/colorado/plv/cuanto/abstracting/symbolic/SymbolicAbstractionSpec.scala +++ b/src/test/scala/edu/colorado/plv/cuanto/abstracting/symbolic/SymbolicAbstractionSpec.scala @@ -1,4 +1,8 @@ package edu.colorado.plv.cuanto + +/** + * @author Nicholas Lewchenko + */ package abstracting.symbolic import abstracting.bitvectors.B3._ diff --git a/src/test/scala/edu/colorado/plv/cuanto/example/ScalaSmtlibExamples.scala b/src/test/scala/edu/colorado/plv/cuanto/example/ScalaSmtlibExamples.scala index 543167c..597b03d 100644 --- a/src/test/scala/edu/colorado/plv/cuanto/example/ScalaSmtlibExamples.scala +++ b/src/test/scala/edu/colorado/plv/cuanto/example/ScalaSmtlibExamples.scala @@ -1,4 +1,8 @@ package edu.colorado.plv.cuanto + +/** + * @author Nicholas Lewchenko + */ package example import org.scalatest.tagobjects.Slow

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