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| author | Andrew Reynolds <andrew.j.reynolds@gmail.com> | 2019-12-13 09:53:02 -0600 |
|---|---|---|
| committer | GitHub <noreply@github.com> | 2019-12-13 09:53:02 -0600 |
| commit | 9acb8b8d0d529c4780191660f8ef2b51e4a92926 (patch) | |
| tree | 1ee538fbc959102d4778cfc74047ee4df87a36c2 /src/theory/sets/kinds | |
| parent | 866f7fb6d4642a51893b0978114b432f990f4c9d (diff) | |
Add support for set comprehension (#3312)
Diffstat (limited to 'src/theory/sets/kinds')
| -rw-r--r-- | src/theory/sets/kinds | 16 |
1 files changed, 16 insertions, 0 deletions
diff --git a/src/theory/sets/kinds b/src/theory/sets/kinds index 34fef7d64..058a20aeb 100644 --- a/src/theory/sets/kinds +++ b/src/theory/sets/kinds @@ -46,6 +46,21 @@ operator CARD 1 "set cardinality operator" operator COMPLEMENT 1 "set COMPLEMENT (with respect to finite universe)" nullaryoperator UNIVERSE_SET "(finite) universe set, all set variables must be interpreted as subsets of it." +# A set comprehension is specified by: +# (1) a bound variable list x1 ... xn, +# (2) a predicate P[x1...xn], and +# (3) a term t[x1...xn]. +# A comprehension C with the above form has members given by the following +# semantics: +# forall y. ( exists x1...xn. P[x1...xn] ^ t[x1...xn] = y ) <=> (member y C) +# where y ranges over the element type of the (set) type of the comprehension. +# Notice that since all sets must be interpreted as finite, this means that +# CVC4 will not be able to construct a model for any set comprehension such +# that there are infinitely many y that satisfy the left hand side of the +# equivalence above. The same limitation occurs more generally when combining +# finite sets with quantified formulas. +operator COMPREHENSION 3 "set comprehension specified by a bound variable list, a predicate, and a term." + operator JOIN 2 "set join" operator PRODUCT 2 "set cartesian product" operator TRANSPOSE 1 "set transpose" @@ -64,6 +79,7 @@ typerule INSERT ::CVC4::theory::sets::InsertTypeRule typerule CARD ::CVC4::theory::sets::CardTypeRule typerule COMPLEMENT ::CVC4::theory::sets::ComplementTypeRule typerule UNIVERSE_SET ::CVC4::theory::sets::UniverseSetTypeRule +typerule COMPREHENSION ::CVC4::theory::sets::ComprehensionTypeRule typerule JOIN ::CVC4::theory::sets::RelBinaryOperatorTypeRule typerule PRODUCT ::CVC4::theory::sets::RelBinaryOperatorTypeRule |