Rename “assert” statement to “spec”
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@ -1,3 +1,3 @@
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input: p/2.
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assert: exists X, Y p(X, Y) <-> exists X q(X).
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spec: exists X, Y p(X, Y) <-> exists X q(X).
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@ -1,6 +1,6 @@
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input: p/1.
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assert:
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spec:
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forall N
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(
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forall X (p(X) -> exists I exists M (I = M and I = X and I <= N))
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@ -10,7 +10,7 @@ axiom: forall N1, N2, N3 (N1 > N2 and N3 > 0 -> N1 * N3 > N2 * N3).
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# This axiom is necessary because we use Vampire without higher-order reasoning
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axiom: (p(0) and forall N (N >= 0 and p(N) -> p(N + 1))) -> (forall N p(N)).
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assert: exists N (forall X (q(X) <-> X = N) and N >= 0 and N * N <= n and (N + 1) * (N + 1) > n).
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spec: exists N (forall X (q(X) <-> X = N) and N >= 0 and N * N <= n and (N + 1) * (N + 1) > n).
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@ -18,8 +18,8 @@ output: in/1.
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assume: forall X, Y (s(X, Y) -> is_int(Y)).
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# Only valid sets can be included in the solution
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assert: forall X (in(X) -> X >= 1 and X <= n).
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spec: forall X (in(X) -> X >= 1 and X <= n).
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# If an element is contained in an input set, it must be covered by all solutions
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assert: forall X (exists I s(X, I) -> exists I (in(I) and s(X, I))).
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spec: forall X (exists I s(X, I) -> exists I (in(I) and s(X, I))).
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# Elements may not be covered by two input sets
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assert: forall I, J (exists X (s(X, I) and s(X, J)) and in(I) and in(J) -> I = J).
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spec: forall I, J (exists X (s(X, I) and s(X, J)) and in(I) and in(J) -> I = J).
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@ -13,7 +13,7 @@ lemma(backward): forall N (composite(N) -> (exists N10 (1 <= N and N <= n and 2
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lemma: forall X1 (composite(X1) <-> (exists N1, N10 (X1 = N1 and 1 <= N1 and N1 <= n and 2 <= N10 and N10 <= N1 - 1 and exists N11 (N1 = (N10 * N11) and 0 < N11)))).
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assert: forall X (composite(X) -> p__is_integer__(X)).
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assert: forall N (composite(N) <-> N > 1 and N <= n and exists I, J (I > 1 and J > 1 and I * J = N)).
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assert: forall X (prime(X) -> p__is_integer__(X)).
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assert: forall N (prime(N) <-> N > 1 and N <= n and not exists I, J (I > 1 and J > 1 and I * J = N)).
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#spec: forall X (composite(X) -> p__is_integer__(X)).
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#spec: forall N (composite(N) <-> N > 1 and N <= n and exists I, J (I > 1 and J > 1 and I * J = N)).
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spec: forall X (prime(X) -> p__is_integer__(X)).
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spec: forall N (prime(N) <-> N > 1 and N <= n and not exists I, J (I > 1 and J > 1 and I * J = N)).
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@ -364,16 +364,16 @@ pub(crate) fn parse_specification(mut input: &str, problem: &crate::Problem)
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continue;
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},
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"assert" =>
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"spec" =>
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{
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let (formula, remaining_input) = formula_statement_body(input, problem)?;
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input = remaining_input;
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let statement = crate::problem::Statement::new(
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crate::problem::StatementKind::Assertion, formula);
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crate::problem::StatementKind::Spec, formula);
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problem.add_statement(crate::problem::SectionKind::Assertions, statement);
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problem.add_statement(crate::problem::SectionKind::Specs, statement);
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continue;
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},
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@ -190,7 +190,8 @@ impl Problem
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{
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self.print_step_title("Started",
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termcolor::ColorSpec::new().set_bold(true).set_fg(Some(termcolor::Color::Green)))?;
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self.shell.borrow_mut().println(&"verification of assertions from translated program",
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self.shell.borrow_mut().println(
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&"verification of specification from translated program",
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&termcolor::ColorSpec::new())?;
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let mut statements = self.statements.borrow_mut();
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@ -229,7 +230,7 @@ impl Problem
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};
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self.print_step_title("Finished", &step_title_color)?;
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println!("verification of assertions from translated program");
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println!("verification of specification from translated program");
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}
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if proof_direction == ProofDirection::Both
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@ -242,7 +243,8 @@ impl Problem
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{
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self.print_step_title("Started",
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termcolor::ColorSpec::new().set_bold(true).set_fg(Some(termcolor::Color::Green)))?;
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self.shell.borrow_mut().println(&"verification of translated program from assertions",
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self.shell.borrow_mut().println(
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&"verification of translated program from specification",
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&termcolor::ColorSpec::new())?;
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let mut statements = self.statements.borrow_mut();
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@ -256,7 +258,7 @@ impl Problem
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{
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StatementKind::Axiom
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| StatementKind::Assumption
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| StatementKind::Assertion =>
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| StatementKind::Spec =>
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statement.proof_status = ProofStatus::AssumedProven,
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StatementKind::Lemma(ProofDirection::Forward) =>
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statement.proof_status = ProofStatus::Ignored,
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@ -280,7 +282,7 @@ impl Problem
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};
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self.print_step_title("Finished", &step_title_color)?;
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println!("verification of translated program from assertions");
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println!("verification of translated program from specification");
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}
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Ok(())
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@ -537,6 +539,7 @@ impl<'p> std::fmt::Display for ProblemTPTPDisplay<'p>
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continue;
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}
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// TODO: refactor
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let title = match section_kind
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{
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SectionKind::CompletedDefinitions => "completed definitions",
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@ -544,7 +547,7 @@ impl<'p> std::fmt::Display for ProblemTPTPDisplay<'p>
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SectionKind::Axioms => "axioms",
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SectionKind::Assumptions => "assumptions",
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SectionKind::Lemmas => "lemmas",
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SectionKind::Assertions => "assertions",
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SectionKind::Specs => "specs",
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};
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write_title(formatter, title, section_separator)?;
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@ -7,7 +7,7 @@ pub enum SectionKind
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Lemmas,
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CompletedDefinitions,
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IntegrityConstraints,
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Assertions,
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Specs,
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}
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impl std::fmt::Debug for SectionKind
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@ -21,7 +21,7 @@ impl std::fmt::Debug for SectionKind
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Self::Axioms => write!(formatter, "axiom"),
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Self::Assumptions => write!(formatter, "assumption"),
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Self::Lemmas => write!(formatter, "lemma"),
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Self::Assertions => write!(formatter, "assertion"),
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Self::Specs => write!(formatter, "spec"),
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}
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}
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}
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@ -8,7 +8,7 @@ pub(crate) enum StatementKind
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CompletedDefinition(std::rc::Rc<crate::PredicateDeclaration>),
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IntegrityConstraint,
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Lemma(ProofDirection),
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Assertion,
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Spec,
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}
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impl std::fmt::Debug for StatementKind
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@ -23,7 +23,7 @@ impl std::fmt::Debug for StatementKind
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write!(formatter, "completed definition of {}", predicate_declaration.declaration),
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Self::IntegrityConstraint => write!(formatter, "integrity constraint"),
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Self::Lemma(_) => write!(formatter, "lemma"),
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Self::Assertion => write!(formatter, "assertion"),
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Self::Spec => write!(formatter, "spec"),
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}
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}
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}
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