diff --git a/src/api/api_solver.cpp b/src/api/api_solver.cpp
index 65b2a9047..b9b3d8166 100644
--- a/src/api/api_solver.cpp
+++ b/src/api/api_solver.cpp
@@ -43,6 +43,7 @@ extern "C" {
         
         param_descrs r;
         s->m_solver->collect_param_descrs(r);
+        context_params::collect_solver_param_descrs(r);
         p.validate(r);
         s->m_solver->updt_params(p);
     }
@@ -106,6 +107,7 @@ extern "C" {
         if (!initialized)
             init_solver(c, s);
         to_solver_ref(s)->collect_param_descrs(descrs);
+        context_params::collect_solver_param_descrs(descrs);
         if (!initialized)
             to_solver(s)->m_solver = 0;
         descrs.display(buffer);
@@ -123,6 +125,7 @@ extern "C" {
         if (!initialized)
             init_solver(c, s);
         to_solver_ref(s)->collect_param_descrs(d->m_descrs);
+        context_params::collect_solver_param_descrs(d->m_descrs);
         if (!initialized)
             to_solver(s)->m_solver = 0;
         Z3_param_descrs r = of_param_descrs(d);
@@ -142,6 +145,7 @@ extern "C" {
                 to_solver_ref(s)->set_produce_models(new_model);
             param_descrs r;
             to_solver_ref(s)->collect_param_descrs(r);
+            context_params::collect_solver_param_descrs(r);
             to_param_ref(p).validate(r);
             to_solver_ref(s)->updt_params(to_param_ref(p));
         }
diff --git a/src/cmd_context/context_params.cpp b/src/cmd_context/context_params.cpp
index 0ec44e0cf..d796dc9b1 100644
--- a/src/cmd_context/context_params.cpp
+++ b/src/cmd_context/context_params.cpp
@@ -114,15 +114,19 @@ void context_params::collect_param_descrs(param_descrs & d) {
     d.insert("well_sorted_check", CPK_BOOL, "type checker", "true");
     d.insert("type_check", CPK_BOOL, "type checker (alias for well_sorted_check)", "true");
     d.insert("auto_config", CPK_BOOL, "use heuristics to automatically select solver and configure it", "true");
-    d.insert("proof", CPK_BOOL, "proof generation, it must be enabled when the Z3 context is created", "false");
     d.insert("check_interpolants", CPK_BOOL, "check correctness of interpolants", "false");
-    d.insert("model", CPK_BOOL, "model generation for solvers, this parameter can be overwritten when creating a solver", "true");
     d.insert("model_validate", CPK_BOOL, "validate models produced by solvers", "false");
     d.insert("trace", CPK_BOOL, "trace generation for VCC", "false");
     d.insert("trace_file_name", CPK_STRING, "trace out file name (see option 'trace')", "z3.log");
-    d.insert("unsat_core", CPK_BOOL, "unsat-core generation for solvers, this parameter can be overwritten when creating a solver, not every solver in Z3 supports unsat core generation", "false");
     d.insert("debug_ref_count", CPK_BOOL, "debug support for AST reference counting", "false");
     d.insert("smtlib2_compliant", CPK_BOOL, "enable/disable SMT-LIB 2.0 compliance", "false");
+    collect_solver_param_descrs(d);
+}
+
+void context_params::collect_solver_param_descrs(param_descrs & d) {
+    d.insert("proof", CPK_BOOL, "proof generation, it must be enabled when the Z3 context is created", "false");
+    d.insert("model", CPK_BOOL, "model generation for solvers, this parameter can be overwritten when creating a solver", "true");
+    d.insert("unsat_core", CPK_BOOL, "unsat-core generation for solvers, this parameter can be overwritten when creating a solver, not every solver in Z3 supports unsat core generation", "false");
 }
 
 params_ref context_params::merge_default_params(params_ref const & p) {
diff --git a/src/cmd_context/context_params.h b/src/cmd_context/context_params.h
index 7271bb84f..e26fd3fe5 100644
--- a/src/cmd_context/context_params.h
+++ b/src/cmd_context/context_params.h
@@ -55,6 +55,8 @@ public:
     */
     void get_solver_params(ast_manager const & m, params_ref & p, bool & proofs_enabled, bool & models_enabled, bool & unsat_core_enabled);
 
+    static void collect_solver_param_descrs(param_descrs & d);
+
     /**
        \brief Include in p parameters derived from this context_params.
        These are parameters that are meaningful for tactics and solvers.