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https://github.com/Z3Prover/z3
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add tc and trc functionals for binary relations
Signed-off-by: Nikolaj Bjorner <nbjorner@microsoft.com>
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parent
d3305aac16
commit
ae982c5225
13 changed files with 361 additions and 77 deletions
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@ -28,6 +28,9 @@ enum special_relations_op_kind {
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OP_SPECIAL_RELATION_PO,
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OP_SPECIAL_RELATION_PLO,
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OP_SPECIAL_RELATION_TO,
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OP_SPECIAL_RELATION_TC,
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OP_SPECIAL_RELATION_TRC,
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OP_SPECIAL_RELATION_NEXT,
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LAST_SPECIAL_RELATIONS_OP
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};
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@ -36,6 +39,8 @@ class special_relations_decl_plugin : public decl_plugin {
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symbol m_po;
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symbol m_plo;
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symbol m_to;
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symbol m_tc;
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symbol m_trc;
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public:
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special_relations_decl_plugin();
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@ -65,11 +70,17 @@ enum sr_property {
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sr_to = 0x01 | 0x02 | 0x04 | 0x10, // right-tree
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sr_plo = 0x01 | 0x02 | 0x04 | 0x08 | 0x10, // piecewise linear order
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sr_lo = 0x01 | 0x02 | 0x04 | 0x20, // linear order
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sr_tc = 0x40, // transitive closure of relation
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sr_trc = 0x42 // transitive reflexive closure of relation
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};
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class special_relations_util {
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ast_manager& m;
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family_id m_fid;
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func_decl* mk_rel_decl(func_decl* f, decl_kind k) {
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parameter p(f); SASSERT(f->get_arity() == 2);
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return m.mk_func_decl(m_fid, k, 1, &p, 2, f->get_domain(), f->get_range());
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}
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public:
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special_relations_util(ast_manager& m) : m(m), m_fid(m.get_family_id("special_relations")) {}
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@ -78,15 +89,26 @@ public:
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sr_property get_property(func_decl* f) const;
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sr_property get_property(app* e) const { return get_property(e->get_decl()); }
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func_decl* mk_to_decl(func_decl* f) { parameter p(f); SASSERT(f->get_arity() == 2); return m.mk_func_decl(m_fid, OP_SPECIAL_RELATION_TO, 1, &p, 2, f->get_domain(), f->get_range()); }
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func_decl* mk_po_decl(func_decl* f) { parameter p(f); SASSERT(f->get_arity() == 2); return m.mk_func_decl(m_fid, OP_SPECIAL_RELATION_PO, 1, &p, 2, f->get_domain(), f->get_range()); }
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func_decl* mk_plo_decl(func_decl* f) { parameter p(f); SASSERT(f->get_arity() == 2); return m.mk_func_decl(m_fid, OP_SPECIAL_RELATION_PLO, 1, &p, 2, f->get_domain(), f->get_range()); }
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func_decl* mk_lo_decl(func_decl* f) { parameter p(f); SASSERT(f->get_arity() == 2); return m.mk_func_decl(m_fid, OP_SPECIAL_RELATION_LO, 1, &p, 2, f->get_domain(), f->get_range()); }
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func_decl* mk_to_decl(func_decl* f) { return mk_rel_decl(f, OP_SPECIAL_RELATION_TO); }
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func_decl* mk_po_decl(func_decl* f) { return mk_rel_decl(f, OP_SPECIAL_RELATION_PO); }
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func_decl* mk_plo_decl(func_decl* f) { return mk_rel_decl(f, OP_SPECIAL_RELATION_PLO); }
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func_decl* mk_lo_decl(func_decl* f) { return mk_rel_decl(f, OP_SPECIAL_RELATION_LO); }
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func_decl* mk_tc_decl(func_decl* f) { return mk_rel_decl(f, OP_SPECIAL_RELATION_TC); }
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func_decl* mk_trc_decl(func_decl* f) { return mk_rel_decl(f, OP_SPECIAL_RELATION_TRC); }
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func_decl* mk_next(func_decl* f) {
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sort* s = f->get_domain(0);
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sort* domain[2] = { s, s };
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parameter p(f); SASSERT(f->get_arity() == 2);
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return m.mk_func_decl(m_fid, OP_SPECIAL_RELATION_NEXT, 1, &p, 2, domain, s);
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}
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bool is_lo(expr const * e) const { return is_app_of(e, m_fid, OP_SPECIAL_RELATION_LO); }
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bool is_po(expr const * e) const { return is_app_of(e, m_fid, OP_SPECIAL_RELATION_PO); }
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bool is_plo(expr const * e) const { return is_app_of(e, m_fid, OP_SPECIAL_RELATION_PLO); }
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bool is_to(expr const * e) const { return is_app_of(e, m_fid, OP_SPECIAL_RELATION_TO); }
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bool is_tc(expr const * e) const { return is_app_of(e, m_fid, OP_SPECIAL_RELATION_TC); }
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bool is_trc(expr const * e) const { return is_app_of(e, m_fid, OP_SPECIAL_RELATION_TRC); }
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bool is_next(expr const * e) const { return is_app_of(e, m_fid, OP_SPECIAL_RELATION_NEXT); }
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app * mk_lo (expr * arg1, expr * arg2) { return m.mk_app( m_fid, OP_SPECIAL_RELATION_LO, arg1, arg2); }
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app * mk_po (expr * arg1, expr * arg2) { return m.mk_app( m_fid, OP_SPECIAL_RELATION_PO, arg1, arg2); }
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