master > master: codego - auslagern, erzeugungsmethode verbessert, SyntaxBaum -> Formula

codego/aussagenlogik/recursion/recursion_atoms.go

@@ -0,0 +1,20 @@
+package recursion
+
+import (
+	"logik/aussagenlogik/formulae"
+)
+
+/* ---------------------------------------------------------------- *
+ * METHOD: Atoms
+ * ---------------------------------------------------------------- */
+
+func Atoms(tree formulae.Formula) []string {
+	// Definiere Schema:
+	var schema = func(tree formulae.Formula, prevValues [][]string) []string {
+		// Herausforderung: schreibe diese Funktion!
+		return []string{}
+	}
+	// Erzeuge Funktion aus Schema und berechne Wert:
+	fn := formulae.CreateFromSchemeStringsValued(schema)
+	return fn(tree)
+}

codego/aussagenlogik/recursion/recursion_count.go

@@ -0,0 +1,49 @@
+package recursion
+
+import (
+	"logik/aussagenlogik/formulae"
+)
+
+/* ---------------------------------------------------------------- *
+ * METHOD: Formula Depth
+ * ---------------------------------------------------------------- */
+
+func FmlDepth(tree formulae.Formula) int {
+	// Definiere Schema:
+	var schema = func(tree formulae.Formula, prevValues []int) int {
+		// Herausforderung: schreibe diese Funktion!
+		return 0
+	}
+	// Erzeuge Funktion aus Schema und berechne Wert:
+	fn := formulae.CreateFromSchemeIntValued(schema)
+	return fn(tree)
+}
+
+/* ---------------------------------------------------------------- *
+ * METHOD: Formula Length
+ * ---------------------------------------------------------------- */
+
+func FmlLength(tree formulae.Formula) int {
+	// Definiere Schema:
+	var schema = func(tree formulae.Formula, prevValues []int) int {
+		// Herausforderung: schreibe diese Funktion!
+		return 0
+	}
+	// Erzeuge Funktion aus Schema und berechne Wert:
+	fn := formulae.CreateFromSchemeIntValued(schema)
+	return fn(tree)
+}
+
+/* ---------------------------------------------------------------- *
+ * METHOD: Number of Parentheses
+ * ---------------------------------------------------------------- */
+func NrParentheses(tree formulae.Formula) int {
+	// Definiere Schema:
+	var schema = func(tree formulae.Formula, prevValues []int) int {
+		// Herausforderung: schreibe diese Funktion!
+		return 0
+	}
+	// Erzeuge Funktion aus Schema und berechne Wert:
+	fn := formulae.CreateFromSchemeIntValued(schema)
+	return fn(tree)
+}

codego/aussagenlogik/recursion/recursion_eval.go

@@ -0,0 +1,42 @@
+package recursion
+
+import (
+	"logik/aussagenlogik/formulae"
+	"logik/core/utils"
+)
+
+/* ---------------------------------------------------------------- *
+ * METHOD: Evaluation of fomulae in models
+ * ---------------------------------------------------------------- */
+
+func Eval(tree formulae.Formula, I []string) int {
+	// Definiere (parameterisiertes) Schema:
+	var schema = func(_I []string) func(formulae.Formula, []int) int {
+		return func(tree formulae.Formula, prevValues []int) int {
+			if tree.IsAtom() || tree.IsGeneric() {
+				return utils.BoolToInt(utils.StrListContains(_I, tree.GetExpr()))
+			} else if tree.IsTautologySymbol() {
+				return 1
+			} else if tree.IsContradictionSymbol() {
+				return 0
+			} else if tree.IsNegation() {
+				return 1 - prevValues[0]
+			} else if tree.IsConjunction2() {
+				return utils.Min2(prevValues[0], prevValues[1])
+			} else if tree.IsConjunction() {
+				return utils.MinList(prevValues)
+			} else if tree.IsDisjunction2() {
+				return utils.Max2(prevValues[0], prevValues[1])
+			} else if tree.IsDisjunction() {
+				return utils.MaxList(prevValues)
+			} else if tree.IsImplication() {
+				return utils.BoolToInt(prevValues[0] <= prevValues[1])
+			} else {
+				panic("Could not evaluate expression!")
+			}
+		}
+	}
+	// Erzeuge Funktion aus Schema und berechne Wert:
+	fn := formulae.CreateFromSchemeIntValued(schema(I))
+	return fn(tree)
+}

codego/aussagenlogik/recursion/recursion_nnf.go

@@ -0,0 +1,77 @@
+package recursion
+
+import (
+	"logik/aussagenlogik/formulae"
+)
+
+/* ---------------------------------------------------------------- *
+ * METHOD: compute NNF
+ * ---------------------------------------------------------------- */
+
+// NOTE: diese bedarf einer Art Doppeltrekursion
+func NNF(tree formulae.Formula) formulae.Formula {
+	// Definiere Schema:
+	var schema = func(tree formulae.Formula, prevValues []formulae.FormulaPair) formulae.FormulaPair {
+		// separate out positive and negative parts:
+		var pairs = formulae.NewFormulaPairs(prevValues)
+		var prevPos = pairs.Pos()
+		var prevNeg = pairs.Neg()
+		// compute value from previous positive/negative parts:
+		if tree.IsPositiveLiteral() {
+			return formulae.FormulaPair{
+				Pos: tree.Deepcopy(),
+				Neg: formulae.Negation(tree),
+			}
+		} else if tree.IsNegativeLiteral() {
+			return formulae.FormulaPair{
+				Pos: tree.Deepcopy(),
+				Neg: prevPos[0],
+			}
+		} else if tree.IsTautologySymbol() {
+			return formulae.FormulaPair{
+				Pos: formulae.Tautology,
+				Neg: formulae.Contradiction,
+			}
+		} else if tree.IsContradictionSymbol() {
+			return formulae.FormulaPair{
+				Pos: formulae.Contradiction,
+				Neg: formulae.Tautology,
+			}
+		} else if tree.IsNegation() {
+			return formulae.FormulaPair{
+				Pos: prevNeg[0],
+				Neg: prevPos[0],
+			}
+		} else if tree.IsConjunction2() {
+			return formulae.FormulaPair{
+				Pos: formulae.Conjunction2(prevPos[0], prevPos[1]),
+				Neg: formulae.Disjunction2(prevNeg[0], prevNeg[1]),
+			}
+		} else if tree.IsConjunction() {
+			return formulae.FormulaPair{
+				Pos: formulae.Conjunction(prevPos),
+				Neg: formulae.Disjunction(prevNeg),
+			}
+		} else if tree.IsDisjunction2() {
+			return formulae.FormulaPair{
+				Pos: formulae.Disjunction2(prevPos[0], prevPos[1]),
+				Neg: formulae.Conjunction2(prevNeg[0], prevNeg[1]),
+			}
+		} else if tree.IsDisjunction() {
+			return formulae.FormulaPair{
+				Pos: formulae.Disjunction(prevPos),
+				Neg: formulae.Conjunction(prevNeg),
+			}
+		} else if tree.IsImplication() {
+			return formulae.FormulaPair{
+				Pos: formulae.Implies(prevPos[0], prevPos[1]),
+				Neg: formulae.Conjunction2(prevPos[0], prevNeg[1]),
+			}
+		} else {
+			panic("Could not evaluate expression!")
+		}
+	}
+	// Erzeuge Funktion aus Schema und berechne Wert:
+	fn := formulae.CreateFromSchemeFmlPairValued(schema)
+	return fn(tree).Pos
+}

codego/aussagenlogik/recursion/recursion_test.go

@@ -0,0 +1,359 @@
+package recursion_test
+
+/* ---------------------------------------------------------------- *
+ * UNIT TESTING
+ * ---------------------------------------------------------------- */
+
+import (
+	"logik/aussagenlogik/formulae"
+	"logik/aussagenlogik/recursion"
+	"logik/aussagenlogik/schema"
+	"logik/core/utils"
+	"testing"
+
+	"github.com/stretchr/testify/assert"
+)
+
+/* ---------------------------------------------------------------- *
+ * TESTCASE eval(·, ·)
+ * ---------------------------------------------------------------- */
+
+func TestEvalLiteral(test *testing.T) {
+	var assert = assert.New(test)
+	var val int
+	var fml formulae.Formula
+	var I []string
+	fml = schema.ParseExpr("A0")
+	I = []string{"A0"}
+	val = recursion.Eval(fml, I)
+	assert.Equal(1, val)
+	fml = schema.ParseExpr("A0")
+	I = []string{}
+	val = recursion.Eval(fml, I)
+	assert.Equal(0, val)
+	fml = schema.ParseExpr("! A0")
+	I = []string{"A0"}
+	val = recursion.Eval(fml, I)
+	assert.Equal(0, val)
+	fml = schema.ParseExpr("! A0")
+	I = []string{}
+	val = recursion.Eval(fml, I)
+	assert.Equal(1, val)
+}
+
+func TestEvalComplex1(test *testing.T) {
+	var assert = assert.New(test)
+	var val int
+	var fml formulae.Formula
+	var I []string
+	fml = schema.ParseExpr("( ! A0 || (( A0 && A3 ) || A2 ))")
+	I = []string{"A0", "A2"}
+	val = recursion.Eval(fml, I)
+	assert.Equal(1, val)
+	I = []string{"A0", "A3"}
+	val = recursion.Eval(fml, I)
+	assert.Equal(1, val)
+	I = []string{"A0"}
+	val = recursion.Eval(fml, I)
+	assert.Equal(0, val)
+	I = []string{"A4", "A8"}
+	val = recursion.Eval(fml, I)
+	assert.Equal(1, val)
+}
+
+func TestEvalComplex2(test *testing.T) {
+	var assert = assert.New(test)
+	var val int
+	var fml formulae.Formula
+	var I []string
+	fml = schema.ParseExpr("( ! A0 || (( A0 && A3 ) || ! A2 ))")
+	I = []string{"A0", "A2"}
+	val = recursion.Eval(fml, I)
+	assert.Equal(0, val)
+	I = []string{"A0", "A3"}
+	val = recursion.Eval(fml, I)
+	assert.Equal(1, val)
+}
+
+/* ---------------------------------------------------------------- *
+ * TESTCASE Atoms(·)
+ * ---------------------------------------------------------------- */
+
+func TestAtomsNoduplicates(test *testing.T) {
+	test.Skip("Methode noch nicht implementiert")
+	var assert = assert.New(test)
+	var fml formulae.Formula
+	var val []string
+	fml = schema.ParseExpr("( A4 && ( A4 || A4 ))")
+	val = recursion.Atoms(fml)
+	var n int = len(utils.FilterStrings(&val, func(x string) bool { return x == "A4" }))
+	assert.Equal(1, n, "Atome dürfen nicht mehrfach vorkommen!")
+}
+
+func TestAtomsNononatoms(test *testing.T) {
+	test.Skip("Methode noch nicht implementiert")
+	test.Skip("Syntax for generic expressions in ANTLR4 g4 needs to be implemented.")
+	var assert = assert.New(test)
+	var fml formulae.Formula
+	var val []string
+	fml = schema.ParseExpr("( {F} || A3 )")
+	val = recursion.Atoms(fml)
+	utils.SortStrings(&val)
+	assert.NotContains(val, "F", "Nichtatomare Formeln dürfen nicht vorkommen!")
+}
+
+func TestAtomsCalc1(test *testing.T) {
+	test.Skip("Methode noch nicht implementiert")
+	var assert = assert.New(test)
+	var fml formulae.Formula
+	var val []string
+	fml = schema.ParseExpr("A0")
+	val = recursion.Atoms(fml)
+	utils.SortStrings(&val)
+	assert.Equal([]string{"A0"}, val)
+}
+
+func TestAtomsCalc2(test *testing.T) {
+	test.Skip("Methode noch nicht implementiert")
+	var assert = assert.New(test)
+	var fml formulae.Formula
+	var val []string
+	fml = schema.ParseExpr("((( ! A8 && A3 ) || A4 ) && A0 )")
+	val = recursion.Atoms(fml)
+	utils.SortStrings(&val)
+	assert.Equal([]string{"A0", "A3", "A4", "A8"}, val)
+}
+
+/* ---------------------------------------------------------------- *
+ * TESTCASE depth(·, ·)
+ * ---------------------------------------------------------------- */
+
+func TestDepthCalc1(test *testing.T) {
+	test.Skip("Methode noch nicht implementiert")
+	var assert = assert.New(test)
+	var val int
+	var fml formulae.Formula
+	fml = schema.ParseExpr("A0")
+	val = recursion.FmlDepth(fml)
+	assert.Equal(0, val)
+}
+
+func TestDepthCalc2(test *testing.T) {
+	test.Skip("Methode noch nicht implementiert")
+	var assert = assert.New(test)
+	var val int
+	var fml formulae.Formula
+	fml = schema.ParseExpr("!! A8")
+	val = recursion.FmlDepth(fml)
+	assert.Equal(2, val)
+}
+
+func TestDepthCalc3(test *testing.T) {
+	test.Skip("Methode noch nicht implementiert")
+	var assert = assert.New(test)
+	var val int
+	var fml formulae.Formula
+	fml = schema.ParseExpr("( ! A0 && A3 )")
+	val = recursion.FmlDepth(fml)
+	assert.Equal(2, val)
+}
+
+func TestDepthCalc4(test *testing.T) {
+	test.Skip("Methode noch nicht implementiert")
+	var assert = assert.New(test)
+	var val int
+	var fml formulae.Formula
+	fml = schema.ParseExpr("((( ! A0 && A3 ) || A4 ) && A8 )")
+	val = recursion.FmlDepth(fml)
+	assert.Equal(4, val)
+}
+
+func TestDepthCalc5(test *testing.T) {
+	test.Skip("Methode noch nicht implementiert")
+	var assert = assert.New(test)
+	var val int
+	var fml formulae.Formula
+	fml = schema.ParseExpr("! ((( ! A0 && A3 ) || A4 ) && A8 )")
+	val = recursion.FmlDepth(fml)
+	assert.Equal(5, val)
+}
+
+/* ---------------------------------------------------------------- *
+ * TESTCASE length(·)
+ * ---------------------------------------------------------------- */
+
+func TestLengthCalc1(test *testing.T) {
+	test.Skip("Methode noch nicht implementiert")
+	var assert = assert.New(test)
+	var val int
+	var fml formulae.Formula
+	fml = schema.ParseExpr("A0")
+	val = recursion.FmlLength(fml)
+	assert.Equal(1, val)
+}
+
+func TestLengthCalc2(test *testing.T) {
+	test.Skip("Methode noch nicht implementiert")
+	var assert = assert.New(test)
+	var val int
+	var fml formulae.Formula
+	fml = schema.ParseExpr("!! A8")
+	val = recursion.FmlLength(fml)
+	assert.Equal(3, val)
+}
+
+func TestLengthCalc3(test *testing.T) {
+	test.Skip("Methode noch nicht implementiert")
+	var assert = assert.New(test)
+	var val int
+	var fml formulae.Formula
+	fml = schema.ParseExpr("( ! A0 && A3 )")
+	val = recursion.FmlLength(fml)
+	assert.Equal(4, val)
+}
+
+func TestLengthCalc4(test *testing.T) {
+	test.Skip("Methode noch nicht implementiert")
+	var assert = assert.New(test)
+	var val int
+	var fml formulae.Formula
+	fml = schema.ParseExpr("((( ! A0 && A3 ) || A4 ) && A8 )")
+	val = recursion.FmlLength(fml)
+	assert.Equal(8, val)
+}
+
+func TestLengthCalc5(test *testing.T) {
+	test.Skip("Methode noch nicht implementiert")
+	var assert = assert.New(test)
+	var val int
+	var fml formulae.Formula
+	fml = schema.ParseExpr("! ((( ! A0 && A3 ) || A4 ) && A8 )")
+	val = recursion.FmlLength(fml)
+	assert.Equal(9, val)
+}
+
+/* ---------------------------------------------------------------- *
+ * TESTCASE #Parentheses(·)
+ * ---------------------------------------------------------------- */
+
+func TestParenthesesCalc1(test *testing.T) {
+	test.Skip("Methode noch nicht implementiert")
+	var assert = assert.New(test)
+	var val int
+	var fml formulae.Formula
+	fml = schema.ParseExpr("A0")
+	val = recursion.NrParentheses(fml)
+	assert.Equal(0, val)
+}
+
+func TestParenthesesCalc2(test *testing.T) {
+	test.Skip("Methode noch nicht implementiert")
+	var assert = assert.New(test)
+	var val int
+	var fml formulae.Formula
+	fml = schema.ParseExpr("!! A8")
+	val = recursion.NrParentheses(fml)
+	assert.Equal(0, val)
+}
+
+func TestParenthesesCalc3(test *testing.T) {
+	test.Skip("Methode noch nicht implementiert")
+	var assert = assert.New(test)
+	var val int
+	var fml formulae.Formula
+	fml = schema.ParseExpr("( ! A0 && A3 )")
+	val = recursion.NrParentheses(fml)
+	assert.Equal(2, val)
+}
+
+func TestParenthesesCalc4(test *testing.T) {
+	test.Skip("Methode noch nicht implementiert")
+	var assert = assert.New(test)
+	var val int
+	var fml formulae.Formula
+	fml = schema.ParseExpr("((( ! A0 && A3 ) || A4 ) && A8 )")
+	val = recursion.NrParentheses(fml)
+	assert.Equal(6, val)
+}
+
+func TestParenthesesCalc5(test *testing.T) {
+	test.Skip("Methode noch nicht implementiert")
+	var assert = assert.New(test)
+	var val int
+	var fml formulae.Formula
+	fml = schema.ParseExpr("! ((( ! A0 && A3 ) || A4 ) && A8 )")
+	val = recursion.NrParentheses(fml)
+	assert.Equal(6, val)
+}
+
+/* ---------------------------------------------------------------- *
+ * TESTCASE NNF
+ * ---------------------------------------------------------------- */
+
+func TestNNFatoms(test *testing.T) {
+	var assert = assert.New(test)
+	var fml formulae.Formula
+	var nnf_expected formulae.Formula
+
+	nnf_expected = formulae.Atom("A7")
+	fml = schema.ParseExpr("A7")
+	assert.Equal(nnf_expected.GetExpr(), recursion.NNF(fml).GetExpr())
+	fml = schema.ParseExpr("!! A7")
+	assert.Equal(nnf_expected.GetExpr(), recursion.NNF(fml).GetExpr())
+
+	nnf_expected = formulae.NegatedAtom("A7")
+	fml = schema.ParseExpr("! A7")
+	assert.Equal(nnf_expected.GetExpr(), recursion.NNF(fml).GetExpr())
+	fml = schema.ParseExpr("!!! A7")
+	assert.Equal(nnf_expected.GetExpr(), recursion.NNF(fml).GetExpr())
+}
+
+func TestNNFconj(test *testing.T) {
+	var assert = assert.New(test)
+	var fml formulae.Formula
+	var nnf_expected formulae.Formula
+
+	nnf_expected = formulae.Disjunction2(formulae.NegatedAtom("A0"), formulae.NegatedAtom("A1"))
+	fml = schema.ParseExpr("! (A0 && A1)")
+	assert.Equal(nnf_expected.GetExpr(), recursion.NNF(fml).GetExpr())
+
+	nnf_expected = formulae.Disjunction2(formulae.Atom("A0"), formulae.Atom("A1"))
+	fml = schema.ParseExpr("! (! A0 && ! A1)")
+	assert.Equal(nnf_expected.GetExpr(), recursion.NNF(fml).GetExpr())
+
+	nnf_expected = formulae.Conjunction2(formulae.Atom("A0"), formulae.NegatedAtom("A1"))
+	fml = schema.ParseExpr("(A0 && ! A1)")
+	assert.Equal(nnf_expected.GetExpr(), recursion.NNF(fml).GetExpr())
+}
+
+func TestNNFdisj(test *testing.T) {
+	var assert = assert.New(test)
+	var fml formulae.Formula
+	var nnf_expected formulae.Formula
+
+	nnf_expected = formulae.Conjunction2(formulae.NegatedAtom("A0"), formulae.NegatedAtom("A1"))
+	fml = schema.ParseExpr("! (A0 || A1)")
+	assert.Equal(nnf_expected.GetExpr(), recursion.NNF(fml).GetExpr())
+
+	nnf_expected = formulae.Conjunction2(formulae.Atom("A0"), formulae.Atom("A1"))
+	fml = schema.ParseExpr("! (! A0 || ! A1)")
+	assert.Equal(nnf_expected.GetExpr(), recursion.NNF(fml).GetExpr())
+
+	nnf_expected = formulae.Disjunction2(formulae.Atom("A0"), formulae.NegatedAtom("A1"))
+	fml = schema.ParseExpr("(A0 || ! A1)")
+	assert.Equal(nnf_expected.GetExpr(), recursion.NNF(fml).GetExpr())
+}
+
+func TestNNFcalcComplex(test *testing.T) {
+	var assert = assert.New(test)
+	var fml formulae.Formula
+	var nnf_expected formulae.Formula
+
+	fml = schema.ParseExpr("! (! (!A0 || A1) || ! ! A8)")
+	nnf_expected = schema.ParseExpr("((!A0 || A1) && ! A8)")
+	assert.Equal(nnf_expected.GetExpr(), recursion.NNF(fml).GetExpr())
+
+	fml = schema.ParseExpr("! (! (!A0 || !(A1 && ! A7)) && ! A8)")
+	nnf_expected = schema.ParseExpr("((!A0 || (! A1 || A7)) || A8)")
+	assert.Equal(nnf_expected.GetExpr(), recursion.NNF(fml).GetExpr())
+}