update and comment

This commit is contained in:
Malte Tammena 2024-02-19 10:28:23 +01:00
parent 50c72aee29
commit 10acaf410a
2 changed files with 145 additions and 58 deletions

180
Cargo.lock generated
View file

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View file

@ -159,7 +159,28 @@ fn body_to_clauses<I: TheoryAtom<A>, A: Atom>(head: Literal, body: &HashSet<A>)
/// Generate the logic for theory derivation in the given [`Aba`]
///
/// This will need a valid [`TheoryAtom`] that will be used to construct the logic
// TODO: describe how this is done
///
/// # Explanation
///
/// We will mainly operate on heads of rules here. So consider head `p` and all bodies `b`
/// in the set of all bodies of `p`: `bodies(p)`.
/// Every body `b` in `bodies(p)` is a set of atoms. Any set of atoms (any body) can be
/// used to derive `p`. So the following relation must hold:
/// - if `p` is true, at least one body `b` must be true aswell.
/// this only holds, because `p` itself is not assumption (since we're
/// only talking flat ABA)
/// - if `b` in `bodies(p)` is true, `p` must be true aswell
///
/// The entire logic in this function is required to implement this equality in DNF.
///
/// # Extra steps
///
/// - We do some extra work here to prevent atoms that never occur in the head of rule and
/// are not an assumption from ever being true.
/// - heads with a single body are common enough in practice to benefit from special care.
/// A lot of the overhead is due to the fact that multiple bodies are an option, if that's
/// not given for a head `p` we use the simplified translation logic where `p` is true iff
/// `bodies(p)` is true.
pub fn theory_helper<I: TheoryAtom<A> + IntoLiteral, A: Atom>(
aba: &Aba<A>,
) -> impl Iterator<Item = Clause> + '_ {