12 Commits

Author SHA1 Message Date
285fa08e5a Version bump for release 0.1.8 RC 1 2018-04-10 00:19:55 +02:00
dfffdcfce6 Add new simplification rule
This adds the rule “(not F or G) === (F -> G)” to the simplification
rule tableau.
2018-04-09 23:48:04 +02:00
4967576b6c Add new simplification rule
This adds the rule “(not (F and G)) === (not F or not G)” to the
simplification rule tableau.
2018-04-09 23:39:29 +02:00
1c5851441d Add new simplification rule
This adds the rule “not not F === F” to the simplification rule tableau.
2018-04-09 23:36:16 +02:00
b18ddcc575 Add new simplification rule
This adds the rule “(F <-> (F and G)) === (F -> G)” to the
simplification rule tableau.
2018-04-09 23:27:38 +02:00
00ab975c2d Iteratively apply simplification tableau rules
With this change, the tableau rules for simplifying formula are applied
iteratively until a fixpoint is reached.
2018-04-08 22:24:14 +02:00
e01b5dc561 Move simplification rule to tableau
This moves the rule “[primitive A] in [primitive B] === A = B” to the
simplification rule tableau.
2018-04-08 22:24:14 +02:00
91529b84aa Move simplification rule to tableau
This moves the rule “exists () (F) === F” to the simplification rule
tableau.
2018-04-08 22:24:14 +02:00
1cbfd335a1 Move simplification rule to tableau
This moves the rule “[conjunction of only F] === F” to the
simplification rule tableau.
2018-04-08 22:24:14 +02:00
a86e978a5a Move simplification rule to tableau
This moves the rule “exists ... ([#true/#false]) === [#true/#false]” to
the simplification rule tableau along with “[empty conjunction] ===
2018-04-08 22:24:14 +02:00
5eb3ed5681 Move simplification rule to tableau
This moves the rule “exists X (X = t and F(X)) === exists () (F(t))” to
the simplification rule tableau.
2018-04-08 22:24:14 +02:00
3d0266136c Implement simplification rule tableau
This implements a tableau containing simplification rules that can be
iteratively applied to input formulas until they remain unchanged.

First, this moves the rule “exists X (X = Y) === #true” to the tableau
as a reference implementation.
2018-04-08 22:24:10 +02:00
14 changed files with 14 additions and 106 deletions

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@@ -3,7 +3,7 @@ FROM ubuntu:18.04
ARG toolchain
RUN apt-get update
RUN apt-get install -y bison cmake git ninja-build re2c
RUN apt-get install -y cmake git ninja-build re2c
RUN if [ "${toolchain}" = "gcc" ]; then apt-get install -y g++; fi
RUN if [ "${toolchain}" = "clang" ]; then apt-get install -y clang; fi

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@@ -1,12 +1,10 @@
# Change Log
## 0.1.8 RC 2 (2018-04-11)
## 0.1.8 RC 1 (2018-04-10)
### Features
* more and advanced simplification rules
* adds support for exponentiation operator
* new examples: prime numbers, permutation generator, and graph coloring (extended)
* more, advanced simplification rules
## 0.1.7 (2018-04-08)

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@@ -9,11 +9,10 @@
## Usage
```bash
$ anthem [--complete] [--simplify] file...
$ anthem [--simplify] file...
```
`--complete` instructs `anthem` to perform Clarks completion on the translated formulas.
With the option `--simplify`, the output formulas are simplified by applying several basic transformation rules.
With the option `--simplify`, output formulas are simplified by applying several basic transformation rules.
## Building

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@@ -70,7 +70,7 @@ int main(int argc, char **argv)
if (version)
{
std::cout << "anthem version 0.1.8-rc.2" << std::endl;
std::cout << "anthem version 0.1.8-rc.1" << std::endl;
return EXIT_SUCCESS;
}

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@@ -3,8 +3,7 @@
#external vertex(1).
#show color/2.
{color(V, C)} :- vertex(V), color(C).
{color(V,C)} :- vertex(V), color(C).
covered(V) :- color(V, _).
:- vertex(V), not covered(V).
:- color(V1, C), color(V2, C), edge(V1, V2).
:- color(V, C1), color(V, C2), C1 != C2.
:- color(V1,C), color(V2,C), edge(V1,V2).

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@@ -1,12 +0,0 @@
{p(1..n, 1..n)}.
:- p(X, Y1), p(X, Y2), Y1 != Y2.
:- p(X1, Y), p(X2, Y), X1 != X2.
q1(X) :- p(X, _).
q2(Y) :- p(_, Y).
:- not q1(X), X = 1..n.
:- not q2(Y), Y = 1..n.
#show p/2.

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@@ -1,4 +0,0 @@
#show prime/1.
composite(I * J) :- I = 2..n, J = 2..n.
prime(N) :- N = 2..n, not composite(N).

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@@ -32,8 +32,7 @@ struct BinaryOperation
Minus,
Multiplication,
Division,
Modulo,
Power
Modulo
};
explicit BinaryOperation(Operator operator_, Term &&left, Term &&right)

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@@ -23,12 +23,6 @@ ast::BinaryOperation::Operator translate(Clingo::AST::BinaryOperator binaryOpera
{
switch (binaryOperator)
{
case Clingo::AST::BinaryOperator::XOr:
throw TranslationException(term.location, "binary operation “xor” currently unsupported");
case Clingo::AST::BinaryOperator::Or:
throw TranslationException(term.location, "binary operation “or” currently unsupported");
case Clingo::AST::BinaryOperator::And:
throw TranslationException(term.location, "binary operation “and” currently unsupported");
case Clingo::AST::BinaryOperator::Plus:
return ast::BinaryOperation::Operator::Plus;
case Clingo::AST::BinaryOperator::Minus:
@@ -39,11 +33,11 @@ ast::BinaryOperation::Operator translate(Clingo::AST::BinaryOperator binaryOpera
return ast::BinaryOperation::Operator::Division;
case Clingo::AST::BinaryOperator::Modulo:
return ast::BinaryOperation::Operator::Modulo;
case Clingo::AST::BinaryOperator::Power:
return ast::BinaryOperation::Operator::Power;
default:
throw TranslationException(term.location, "“binary operation” terms currently unsupported");
}
throw TranslationException(term.location, "unknown binary operation");
return ast::BinaryOperation::Operator::Plus;
}
////////////////////////////////////////////////////////////////////////////////////////////////////

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@@ -85,8 +85,6 @@ inline output::ColorStream &print(output::ColorStream &stream, BinaryOperation::
return (stream << output::Operator("/"));
case BinaryOperation::Operator::Modulo:
return (stream << output::Operator("%"));
case BinaryOperation::Operator::Power:
return (stream << output::Operator("**"));
}
return stream;

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@@ -466,52 +466,6 @@ struct SimplificationRuleImplicationFromDisjunction
////////////////////////////////////////////////////////////////////////////////////////////////////
struct SimplificationRuleNegatedComparison
{
static constexpr const auto Description = "(not F [comparison] G) === (F [negated comparison] G)";
static SimplificationResult apply(ast::Formula &formula)
{
if (!formula.is<ast::Not>())
return SimplificationResult::Unchanged;
auto &not_ = formula.get<ast::Not>();
if (!not_.argument.is<ast::Comparison>())
return SimplificationResult::Unchanged;
auto &comparison = not_.argument.get<ast::Comparison>();
switch (comparison.operator_)
{
case ast::Comparison::Operator::GreaterThan:
comparison.operator_ = ast::Comparison::Operator::LessEqual;
break;
case ast::Comparison::Operator::LessThan:
comparison.operator_ = ast::Comparison::Operator::GreaterEqual;
break;
case ast::Comparison::Operator::LessEqual:
comparison.operator_ = ast::Comparison::Operator::GreaterThan;
break;
case ast::Comparison::Operator::GreaterEqual:
comparison.operator_ = ast::Comparison::Operator::LessThan;
break;
case ast::Comparison::Operator::NotEqual:
comparison.operator_ = ast::Comparison::Operator::Equal;
break;
case ast::Comparison::Operator::Equal:
comparison.operator_ = ast::Comparison::Operator::NotEqual;
break;
}
formula = std::move(comparison);
return SimplificationResult::Simplified;
}
};
////////////////////////////////////////////////////////////////////////////////////////////////////
const auto simplifyWithDefaultRules =
simplify
<
@@ -525,8 +479,7 @@ const auto simplifyWithDefaultRules =
SimplificationRuleInWithPrimitiveArguments,
SimplificationRuleSubsumptionInBiconditionals,
SimplificationRuleDeMorganForConjunctions,
SimplificationRuleImplicationFromDisjunction,
SimplificationRuleNegatedComparison
SimplificationRuleImplicationFromDisjunction
>;
////////////////////////////////////////////////////////////////////////////////////////////////////

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@@ -176,12 +176,4 @@ TEST_CASE("[completion] Rules are completed", "[completion]")
CHECK(output.str() ==
"forall V1, V2, V3 (p(V1, V2, V3) <-> #true)\n");
}
SECTION("negated comparisons")
{
input << ":- color(V, C1), color(V, C2), C1 != C2.";
anthem::translate("input", input, context);
CHECK(output.str() == "forall V1, V2 not color(V1, V2)\nforall U1, U2, U3 (not color(U1, U2) or not color(U1, U3) or U2 = U3)\n");
}
}

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@@ -296,12 +296,4 @@ TEST_CASE("[translation] Rules are translated correctly", "[translation]")
CHECK(output.str() == "((V1 in U1 and V2 in U2 and exists X1, X2 (X1 in U3 and X2 in U4 and q(X1, X2))) -> p(V1, V2))\n");
}
SECTION("exponentiation operator")
{
input << "p(N, N ** N) :- N = 1..n.";
anthem::translate("input", input, context);
CHECK(output.str() == "((V1 in U1 and V2 in (U1 ** U1) and exists X1, X2 (X1 in U1 and X2 in 1..n and X1 = X2)) -> p(V1, V2))\n");
}
}