Prompt:
This is turn 1 of a 3-turn dynamic completeness dialogue.
You are given an initial knowledge base and an initial completeness state.
Do not use outside knowledge.
Return exactly one compact JSON object with keys answer, changed_from_previous, applied_update, and rationale. The answer value must be one of true, false, unknown. The changed_from_previous value must be true, false, or null. The applied_update value must be one of open, global_complete, local_complete. For this turn, applied_update must be exactly open. For turn 1, changed_from_previous must be null.

Reasoning contract:
- Positive facts are true.
- Negative facts make the corresponding target atom false.
- A rule derives its conclusion only when every antecedent is true.
- First apply all rules until no new facts can be derived.
- Then evaluate unstated and underivable atoms using the current completeness state.
- If a predicate is complete, an unstated and underivable atom using that predicate is false.
- If a predicate is not complete, an unstated and underivable atom using that predicate is unknown.
- A false answer derived from completeness is not a permanent negative fact; it can be withdrawn if the completeness state changes.

Knowledge base:

Predicate glossary:
- has_advising_clearance: has advising clearance
- has_external_scholarship: has an external scholarship
- may_register: may register for the seminar
- needs_manual_audit: needs a manual audit
- passed_exam: passed the qualifying exam

Positive facts:
- Iris passed the qualifying exam.

Negative facts:
- none

Rules:
- none

Target statement: Iris has an external scholarship.
Target atom: has_external_scholarship::Iris

Completeness-state update for this turn:
- Operation: SET_COMPLETE_PREDICATES
- New complete predicates: none

Prompt:
This is turn 2 of a 3-turn dynamic completeness dialogue.
Keep the exact same knowledge base, facts, rules, glossary, and target from turn 1.
Apply only the completeness-state update below.
Recompute the answer from the updated state. Do not treat a previous false/unknown conclusion as a new fact.
Return exactly one compact JSON object with keys answer, changed_from_previous, applied_update, and rationale. The answer value must be one of true, false, unknown. The changed_from_previous value must be true, false, or null. The applied_update value must be one of open, global_complete, local_complete. For this turn, applied_update must be exactly global_complete. For this turn, changed_from_previous must be true iff your current answer differs from your immediately previous answer.

Reasoning contract:
- Positive facts are true.
- Negative facts make the corresponding target atom false.
- A rule derives its conclusion only when every antecedent is true.
- First apply all rules until no new facts can be derived.
- Then evaluate unstated and underivable atoms using the current completeness state.
- If a predicate is complete, an unstated and underivable atom using that predicate is false.
- If a predicate is not complete, an unstated and underivable atom using that predicate is unknown.
- A false answer derived from completeness is not a permanent negative fact; it can be withdrawn if the completeness state changes.

Completeness-state update for this turn:
- Operation: ADD_COMPLETE_PREDICATES
- Predicates to add as complete: has_advising_clearance, has_external_scholarship, may_register, needs_manual_audit, passed_exam
- Complete predicates after this update: has_advising_clearance, has_external_scholarship, may_register, needs_manual_audit, passed_exam

Target statement: Iris has an external scholarship.
Target atom: has_external_scholarship::Iris

Prompt:
This is turn 3 of a 3-turn dynamic completeness dialogue.
Keep the exact same knowledge base, facts, rules, glossary, and target from turn 1.
Apply only the completeness-state update below.
Recompute the answer from the updated state. Do not treat a previous false/unknown conclusion as a new fact.
Return exactly one compact JSON object with keys answer, changed_from_previous, applied_update, and rationale. The answer value must be one of true, false, unknown. The changed_from_previous value must be true, false, or null. The applied_update value must be one of open, global_complete, local_complete. For this turn, applied_update must be exactly local_complete. For this turn, changed_from_previous must be true iff your current answer differs from your immediately previous answer.

Reasoning contract:
- Positive facts are true.
- Negative facts make the corresponding target atom false.
- A rule derives its conclusion only when every antecedent is true.
- First apply all rules until no new facts can be derived.
- Then evaluate unstated and underivable atoms using the current completeness state.
- If a predicate is complete, an unstated and underivable atom using that predicate is false.
- If a predicate is not complete, an unstated and underivable atom using that predicate is unknown.
- A false answer derived from completeness is not a permanent negative fact; it can be withdrawn if the completeness state changes.

Completeness-state update for this turn:
- Operation: REPLACE_COMPLETE_PREDICATES
- Discard the previous complete-predicate set.
- Replacement complete predicates: has_advising_clearance, may_register

Target statement: Iris has an external scholarship.
Target atom: has_external_scholarship::Iris


Prompt:
This is turn 1 of a 3-turn dynamic completeness dialogue.
You are given an initial knowledge base and an initial completeness state.
Do not use outside knowledge.
Return exactly one compact JSON object with keys answer, changed_from_previous, applied_update, and rationale. The answer value must be one of true, false, unknown. The changed_from_previous value must be true, false, or null. The applied_update value must be one of open, global_complete, local_complete. For this turn, applied_update must be exactly open. For turn 1, changed_from_previous must be null.

Reasoning contract:
- Positive facts are true.
- Negative facts make the corresponding target atom false.
- A rule derives its conclusion only when every antecedent is true.
- First apply all rules until no new facts can be derived.
- Then evaluate unstated and underivable atoms using the current completeness state.
- If a predicate is complete, an unstated and underivable atom using that predicate is false.
- If a predicate is not complete, an unstated and underivable atom using that predicate is unknown.
- A false answer derived from completeness is not a permanent negative fact; it can be withdrawn if the completeness state changes.

Knowledge base:

Predicate glossary:
- has_advising_clearance: has advising clearance
- has_external_scholarship: has an external scholarship
- may_register: may register for the seminar
- needs_manual_audit: needs a manual audit
- passed_exam: passed the qualifying exam

Positive facts:
- Theo passed the qualifying exam.

Negative facts:
- none

Rules:
- none

Target statement: Theo has an external scholarship.
Target atom: has_external_scholarship::Theo

Completeness-state update for this turn:
- Operation: SET_COMPLETE_PREDICATES
- New complete predicates: none

Prompt:
This is turn 2 of a 3-turn dynamic completeness dialogue.
Keep the exact same knowledge base, facts, rules, glossary, and target from turn 1.
Apply only the completeness-state update below.
Recompute the answer from the updated state. Do not treat a previous false/unknown conclusion as a new fact.
Return exactly one compact JSON object with keys answer, changed_from_previous, applied_update, and rationale. The answer value must be one of true, false, unknown. The changed_from_previous value must be true, false, or null. The applied_update value must be one of open, global_complete, local_complete. For this turn, applied_update must be exactly global_complete. For this turn, changed_from_previous must be true iff your current answer differs from your immediately previous answer.

Reasoning contract:
- Positive facts are true.
- Negative facts make the corresponding target atom false.
- A rule derives its conclusion only when every antecedent is true.
- First apply all rules until no new facts can be derived.
- Then evaluate unstated and underivable atoms using the current completeness state.
- If a predicate is complete, an unstated and underivable atom using that predicate is false.
- If a predicate is not complete, an unstated and underivable atom using that predicate is unknown.
- A false answer derived from completeness is not a permanent negative fact; it can be withdrawn if the completeness state changes.

Completeness-state update for this turn:
- Operation: ADD_COMPLETE_PREDICATES
- Predicates to add as complete: has_advising_clearance, has_external_scholarship, may_register, needs_manual_audit, passed_exam
- Complete predicates after this update: has_advising_clearance, has_external_scholarship, may_register, needs_manual_audit, passed_exam

Target statement: Theo has an external scholarship.
Target atom: has_external_scholarship::Theo

Prompt:
This is turn 3 of a 3-turn dynamic completeness dialogue.
Keep the exact same knowledge base, facts, rules, glossary, and target from turn 1.
Apply only the completeness-state update below.
Recompute the answer from the updated state. Do not treat a previous false/unknown conclusion as a new fact.
Return exactly one compact JSON object with keys answer, changed_from_previous, applied_update, and rationale. The answer value must be one of true, false, unknown. The changed_from_previous value must be true, false, or null. The applied_update value must be one of open, global_complete, local_complete. For this turn, applied_update must be exactly local_complete. For this turn, changed_from_previous must be true iff your current answer differs from your immediately previous answer.

Reasoning contract:
- Positive facts are true.
- Negative facts make the corresponding target atom false.
- A rule derives its conclusion only when every antecedent is true.
- First apply all rules until no new facts can be derived.
- Then evaluate unstated and underivable atoms using the current completeness state.
- If a predicate is complete, an unstated and underivable atom using that predicate is false.
- If a predicate is not complete, an unstated and underivable atom using that predicate is unknown.
- A false answer derived from completeness is not a permanent negative fact; it can be withdrawn if the completeness state changes.

Completeness-state update for this turn:
- Operation: REPLACE_COMPLETE_PREDICATES
- Discard the previous complete-predicate set.
- Replacement complete predicates: has_advising_clearance, may_register

Target statement: Theo has an external scholarship.
Target atom: has_external_scholarship::Theo


Lena has an external scholarship.
Noah passed the qualifying exam.

Prompt:
This is turn 1 of a 3-turn dynamic completeness dialogue.
You are given an initial knowledge base and an initial completeness state.
Do not use outside knowledge.
Return exactly one compact JSON object with keys answer, changed_from_previous, applied_update, and rationale. The answer value must be one of true, false, unknown. The changed_from_previous value must be true, false, or null. The applied_update value must be one of open, global_complete, local_complete. For this turn, applied_update must be exactly open. For turn 1, changed_from_previous must be null.

Reasoning contract:
- Positive facts are true.
- Negative facts make the corresponding target atom false.
- A rule derives its conclusion only when every antecedent is true.
- First apply all rules until no new facts can be derived.
- Then evaluate unstated and underivable atoms using the current completeness state.
- If a predicate is complete, an unstated and underivable atom using that predicate is false.
- If a predicate is not complete, an unstated and underivable atom using that predicate is unknown.
- A false answer derived from completeness is not a permanent negative fact; it can be withdrawn if the completeness state changes.

Knowledge base:

Predicate glossary:
- has_advising_clearance: has advising clearance
- has_external_scholarship: has an external scholarship
- may_register: may register for the seminar
- needs_manual_audit: needs a manual audit
- passed_exam: passed the qualifying exam

Positive facts:
- Lena has an external scholarship.
- Noah passed the qualifying exam.

Negative facts:
- none

Rules:
- none

Target statement: Noah has advising clearance.
Target atom: has_advising_clearance::Noah

Completeness-state update for this turn:
- Operation: SET_COMPLETE_PREDICATES
- New complete predicates: none

Prompt:
This is turn 2 of a 3-turn dynamic completeness dialogue.
Keep the exact same knowledge base, facts, rules, glossary, and target from turn 1.
Apply only the completeness-state update below.
Recompute the answer from the updated state. Do not treat a previous false/unknown conclusion as a new fact.
Return exactly one compact JSON object with keys answer, changed_from_previous, applied_update, and rationale. The answer value must be one of true, false, unknown. The changed_from_previous value must be true, false, or null. The applied_update value must be one of open, global_complete, local_complete. For this turn, applied_update must be exactly global_complete. For this turn, changed_from_previous must be true iff your current answer differs from your immediately previous answer.

Reasoning contract:
- Positive facts are true.
- Negative facts make the corresponding target atom false.
- A rule derives its conclusion only when every antecedent is true.
- First apply all rules until no new facts can be derived.
- Then evaluate unstated and underivable atoms using the current completeness state.
- If a predicate is complete, an unstated and underivable atom using that predicate is false.
- If a predicate is not complete, an unstated and underivable atom using that predicate is unknown.
- A false answer derived from completeness is not a permanent negative fact; it can be withdrawn if the completeness state changes.

Completeness-state update for this turn:
- Operation: ADD_COMPLETE_PREDICATES
- Predicates to add as complete: has_advising_clearance, has_external_scholarship, may_register, needs_manual_audit, passed_exam
- Complete predicates after this update: has_advising_clearance, has_external_scholarship, may_register, needs_manual_audit, passed_exam

Target statement: Noah has advising clearance.
Target atom: has_advising_clearance::Noah

Prompt:
This is turn 3 of a 3-turn dynamic completeness dialogue.
Keep the exact same knowledge base, facts, rules, glossary, and target from turn 1.
Apply only the completeness-state update below.
Recompute the answer from the updated state. Do not treat a previous false/unknown conclusion as a new fact.
Return exactly one compact JSON object with keys answer, changed_from_previous, applied_update, and rationale. The answer value must be one of true, false, unknown. The changed_from_previous value must be true, false, or null. The applied_update value must be one of open, global_complete, local_complete. For this turn, applied_update must be exactly local_complete. For this turn, changed_from_previous must be true iff your current answer differs from your immediately previous answer.

Reasoning contract:
- Positive facts are true.
- Negative facts make the corresponding target atom false.
- A rule derives its conclusion only when every antecedent is true.
- First apply all rules until no new facts can be derived.
- Then evaluate unstated and underivable atoms using the current completeness state.
- If a predicate is complete, an unstated and underivable atom using that predicate is false.
- If a predicate is not complete, an unstated and underivable atom using that predicate is unknown.
- A false answer derived from completeness is not a permanent negative fact; it can be withdrawn if the completeness state changes.

Completeness-state update for this turn:
- Operation: REPLACE_COMPLETE_PREDICATES
- Discard the previous complete-predicate set.
- Replacement complete predicates: has_advising_clearance

Target statement: Noah has advising clearance.
Target atom: has_advising_clearance::Noah


Noah has advising clearance.
Noah passed the qualifying exam.

Prompt:
This is turn 1 of a 3-turn dynamic completeness dialogue.
You are given an initial knowledge base and an initial completeness state.
Do not use outside knowledge.
Return exactly one compact JSON object with keys answer, changed_from_previous, applied_update, and rationale. The answer value must be one of true, false, unknown. The changed_from_previous value must be true, false, or null. The applied_update value must be one of open, global_complete, local_complete. For this turn, applied_update must be exactly open. For turn 1, changed_from_previous must be null.

Reasoning contract:
- Positive facts are true.
- Negative facts make the corresponding target atom false.
- A rule derives its conclusion only when every antecedent is true.
- First apply all rules until no new facts can be derived.
- Then evaluate unstated and underivable atoms using the current completeness state.
- If a predicate is complete, an unstated and underivable atom using that predicate is false.
- If a predicate is not complete, an unstated and underivable atom using that predicate is unknown.
- A false answer derived from completeness is not a permanent negative fact; it can be withdrawn if the completeness state changes.

Knowledge base:

Predicate glossary:
- has_advising_clearance: has advising clearance
- has_external_scholarship: has an external scholarship
- may_register: may register for the seminar
- needs_manual_audit: needs a manual audit
- passed_exam: passed the qualifying exam

Positive facts:
- Noah has advising clearance.
- Noah passed the qualifying exam.

Negative facts:
- none

Rules:
- none

Target statement: Mia has an external scholarship.
Target atom: has_external_scholarship::Mia

Completeness-state update for this turn:
- Operation: SET_COMPLETE_PREDICATES
- New complete predicates: none

Prompt:
This is turn 2 of a 3-turn dynamic completeness dialogue.
Keep the exact same knowledge base, facts, rules, glossary, and target from turn 1.
Apply only the completeness-state update below.
Recompute the answer from the updated state. Do not treat a previous false/unknown conclusion as a new fact.
Return exactly one compact JSON object with keys answer, changed_from_previous, applied_update, and rationale. The answer value must be one of true, false, unknown. The changed_from_previous value must be true, false, or null. The applied_update value must be one of open, global_complete, local_complete. For this turn, applied_update must be exactly global_complete. For this turn, changed_from_previous must be true iff your current answer differs from your immediately previous answer.

Reasoning contract:
- Positive facts are true.
- Negative facts make the corresponding target atom false.
- A rule derives its conclusion only when every antecedent is true.
- First apply all rules until no new facts can be derived.
- Then evaluate unstated and underivable atoms using the current completeness state.
- If a predicate is complete, an unstated and underivable atom using that predicate is false.
- If a predicate is not complete, an unstated and underivable atom using that predicate is unknown.
- A false answer derived from completeness is not a permanent negative fact; it can be withdrawn if the completeness state changes.

Completeness-state update for this turn:
- Operation: ADD_COMPLETE_PREDICATES
- Predicates to add as complete: has_advising_clearance, has_external_scholarship, may_register, needs_manual_audit, passed_exam
- Complete predicates after this update: has_advising_clearance, has_external_scholarship, may_register, needs_manual_audit, passed_exam

Target statement: Mia has an external scholarship.
Target atom: has_external_scholarship::Mia

Prompt:
This is turn 3 of a 3-turn dynamic completeness dialogue.
Keep the exact same knowledge base, facts, rules, glossary, and target from turn 1.
Apply only the completeness-state update below.
Recompute the answer from the updated state. Do not treat a previous false/unknown conclusion as a new fact.
Return exactly one compact JSON object with keys answer, changed_from_previous, applied_update, and rationale. The answer value must be one of true, false, unknown. The changed_from_previous value must be true, false, or null. The applied_update value must be one of open, global_complete, local_complete. For this turn, applied_update must be exactly local_complete. For this turn, changed_from_previous must be true iff your current answer differs from your immediately previous answer.

Reasoning contract:
- Positive facts are true.
- Negative facts make the corresponding target atom false.
- A rule derives its conclusion only when every antecedent is true.
- First apply all rules until no new facts can be derived.
- Then evaluate unstated and underivable atoms using the current completeness state.
- If a predicate is complete, an unstated and underivable atom using that predicate is false.
- If a predicate is not complete, an unstated and underivable atom using that predicate is unknown.
- A false answer derived from completeness is not a permanent negative fact; it can be withdrawn if the completeness state changes.

Completeness-state update for this turn:
- Operation: REPLACE_COMPLETE_PREDICATES
- Discard the previous complete-predicate set.
- Replacement complete predicates: has_advising_clearance, may_register

Target statement: Mia has an external scholarship.
Target atom: has_external_scholarship::Mia


Lena has advising clearance.
Lena passed the qualifying exam.

Prompt:
This is turn 1 of a 3-turn dynamic completeness dialogue.
You are given an initial knowledge base and an initial completeness state.
Do not use outside knowledge.
Return exactly one compact JSON object with keys answer, changed_from_previous, applied_update, and rationale. The answer value must be one of true, false, unknown. The changed_from_previous value must be true, false, or null. The applied_update value must be one of open, global_complete, local_complete. For this turn, applied_update must be exactly open. For turn 1, changed_from_previous must be null.

Reasoning contract:
- Positive facts are true.
- Negative facts make the corresponding target atom false.
- A rule derives its conclusion only when every antecedent is true.
- First apply all rules until no new facts can be derived.
- Then evaluate unstated and underivable atoms using the current completeness state.
- If a predicate is complete, an unstated and underivable atom using that predicate is false.
- If a predicate is not complete, an unstated and underivable atom using that predicate is unknown.
- A false answer derived from completeness is not a permanent negative fact; it can be withdrawn if the completeness state changes.

Knowledge base:

Predicate glossary:
- has_advising_clearance: has advising clearance
- has_external_scholarship: has an external scholarship
- may_register: may register for the seminar
- needs_manual_audit: needs a manual audit
- passed_exam: passed the qualifying exam

Positive facts:
- Lena has advising clearance.
- Lena passed the qualifying exam.

Negative facts:
- none

Rules:
- none

Target statement: Noah has an external scholarship.
Target atom: has_external_scholarship::Noah

Completeness-state update for this turn:
- Operation: SET_COMPLETE_PREDICATES
- New complete predicates: none

Prompt:
This is turn 2 of a 3-turn dynamic completeness dialogue.
Keep the exact same knowledge base, facts, rules, glossary, and target from turn 1.
Apply only the completeness-state update below.
Recompute the answer from the updated state. Do not treat a previous false/unknown conclusion as a new fact.
Return exactly one compact JSON object with keys answer, changed_from_previous, applied_update, and rationale. The answer value must be one of true, false, unknown. The changed_from_previous value must be true, false, or null. The applied_update value must be one of open, global_complete, local_complete. For this turn, applied_update must be exactly global_complete. For this turn, changed_from_previous must be true iff your current answer differs from your immediately previous answer.

Reasoning contract:
- Positive facts are true.
- Negative facts make the corresponding target atom false.
- A rule derives its conclusion only when every antecedent is true.
- First apply all rules until no new facts can be derived.
- Then evaluate unstated and underivable atoms using the current completeness state.
- If a predicate is complete, an unstated and underivable atom using that predicate is false.
- If a predicate is not complete, an unstated and underivable atom using that predicate is unknown.
- A false answer derived from completeness is not a permanent negative fact; it can be withdrawn if the completeness state changes.

Completeness-state update for this turn:
- Operation: ADD_COMPLETE_PREDICATES
- Predicates to add as complete: has_advising_clearance, has_external_scholarship, may_register, needs_manual_audit, passed_exam
- Complete predicates after this update: has_advising_clearance, has_external_scholarship, may_register, needs_manual_audit, passed_exam

Target statement: Noah has an external scholarship.
Target atom: has_external_scholarship::Noah

Prompt:
This is turn 3 of a 3-turn dynamic completeness dialogue.
Keep the exact same knowledge base, facts, rules, glossary, and target from turn 1.
Apply only the completeness-state update below.
Recompute the answer from the updated state. Do not treat a previous false/unknown conclusion as a new fact.
Return exactly one compact JSON object with keys answer, changed_from_previous, applied_update, and rationale. The answer value must be one of true, false, unknown. The changed_from_previous value must be true, false, or null. The applied_update value must be one of open, global_complete, local_complete. For this turn, applied_update must be exactly local_complete. For this turn, changed_from_previous must be true iff your current answer differs from your immediately previous answer.

Reasoning contract:
- Positive facts are true.
- Negative facts make the corresponding target atom false.
- A rule derives its conclusion only when every antecedent is true.
- First apply all rules until no new facts can be derived.
- Then evaluate unstated and underivable atoms using the current completeness state.
- If a predicate is complete, an unstated and underivable atom using that predicate is false.
- If a predicate is not complete, an unstated and underivable atom using that predicate is unknown.
- A false answer derived from completeness is not a permanent negative fact; it can be withdrawn if the completeness state changes.

Completeness-state update for this turn:
- Operation: REPLACE_COMPLETE_PREDICATES
- Discard the previous complete-predicate set.
- Replacement complete predicates: has_advising_clearance, may_register

Target statement: Noah has an external scholarship.
Target atom: has_external_scholarship::Noah


Prompt:
This is turn 1 of a 3-turn dynamic completeness dialogue.
You are given an initial knowledge base and an initial completeness state.
Do not use outside knowledge.
Return exactly one compact JSON object with keys answer, changed_from_previous, applied_update, and rationale. The answer value must be one of true, false, unknown. The changed_from_previous value must be true, false, or null. The applied_update value must be one of open, global_complete, local_complete. For this turn, applied_update must be exactly open. For turn 1, changed_from_previous must be null.

Reasoning contract:
- Positive facts are true.
- Negative facts make the corresponding target atom false.
- A rule derives its conclusion only when every antecedent is true.
- First apply all rules until no new facts can be derived.
- Then evaluate unstated and underivable atoms using the current completeness state.
- If a predicate is complete, an unstated and underivable atom using that predicate is false.
- If a predicate is not complete, an unstated and underivable atom using that predicate is unknown.
- A false answer derived from completeness is not a permanent negative fact; it can be withdrawn if the completeness state changes.

Knowledge base:

Predicate glossary:
- has_advising_clearance: has advising clearance
- has_external_scholarship: has an external scholarship
- may_register: may register for the seminar
- needs_manual_audit: needs a manual audit
- passed_exam: passed the qualifying exam

Positive facts:
- Theo passed the qualifying exam.

Negative facts:
- none

Rules:
- If a student passed the qualifying exam and has advising clearance, then that student may register for the seminar.

Target statement: Theo may register for the seminar.
Target atom: may_register::Theo

Completeness-state update for this turn:
- Operation: SET_COMPLETE_PREDICATES
- New complete predicates: none

Prompt:
This is turn 2 of a 3-turn dynamic completeness dialogue.
Keep the exact same knowledge base, facts, rules, glossary, and target from turn 1.
Apply only the completeness-state update below.
Recompute the answer from the updated state. Do not treat a previous false/unknown conclusion as a new fact.
Return exactly one compact JSON object with keys answer, changed_from_previous, applied_update, and rationale. The answer value must be one of true, false, unknown. The changed_from_previous value must be true, false, or null. The applied_update value must be one of open, global_complete, local_complete. For this turn, applied_update must be exactly global_complete. For this turn, changed_from_previous must be true iff your current answer differs from your immediately previous answer.

Reasoning contract:
- Positive facts are true.
- Negative facts make the corresponding target atom false.
- A rule derives its conclusion only when every antecedent is true.
- First apply all rules until no new facts can be derived.
- Then evaluate unstated and underivable atoms using the current completeness state.
- If a predicate is complete, an unstated and underivable atom using that predicate is false.
- If a predicate is not complete, an unstated and underivable atom using that predicate is unknown.
- A false answer derived from completeness is not a permanent negative fact; it can be withdrawn if the completeness state changes.

Completeness-state update for this turn:
- Operation: ADD_COMPLETE_PREDICATES
- Predicates to add as complete: has_advising_clearance, has_external_scholarship, may_register, needs_manual_audit, passed_exam
- Complete predicates after this update: has_advising_clearance, has_external_scholarship, may_register, needs_manual_audit, passed_exam

Target statement: Theo may register for the seminar.
Target atom: may_register::Theo

Prompt:
This is turn 3 of a 3-turn dynamic completeness dialogue.
Keep the exact same knowledge base, facts, rules, glossary, and target from turn 1.
Apply only the completeness-state update below.
Recompute the answer from the updated state. Do not treat a previous false/unknown conclusion as a new fact.
Return exactly one compact JSON object with keys answer, changed_from_previous, applied_update, and rationale. The answer value must be one of true, false, unknown. The changed_from_previous value must be true, false, or null. The applied_update value must be one of open, global_complete, local_complete. For this turn, applied_update must be exactly local_complete. For this turn, changed_from_previous must be true iff your current answer differs from your immediately previous answer.

Reasoning contract:
- Positive facts are true.
- Negative facts make the corresponding target atom false.
- A rule derives its conclusion only when every antecedent is true.
- First apply all rules until no new facts can be derived.
- Then evaluate unstated and underivable atoms using the current completeness state.
- If a predicate is complete, an unstated and underivable atom using that predicate is false.
- If a predicate is not complete, an unstated and underivable atom using that predicate is unknown.
- A false answer derived from completeness is not a permanent negative fact; it can be withdrawn if the completeness state changes.

Completeness-state update for this turn:
- Operation: REPLACE_COMPLETE_PREDICATES
- Discard the previous complete-predicate set.
- Replacement complete predicates: has_advising_clearance, may_register

Target statement: Theo may register for the seminar.
Target atom: may_register::Theo