#logical reasoning: Mark is a detective investigating a burglary in a residential area.

1. **Initial Information:** Mark receives a report of a burglary in a neighborhood. The homeowner reports missing valuable items, and there are signs of forced entry.

2. **Observations:**
- The point of entry appears to be a broken window at the back of the house.
- Footprints are visible in the mud outside the broken window.
- The homeowner's security camera captured footage of a person wearing a hoodie near the house around the time of the burglary.

3. **Formulating Hypotheses:**
- The burglar may be someone familiar with the neighborhood, as they seemed to know when the homeowner was away.
- The broken window suggests a forced entry, possibly indicating a non-professional burglar.
- The hoodie-wearing person in the security footage might be the suspect.

4. **Gathering Evidence:**
- Mark interviews neighbors to gather information about any suspicious activities or unfamiliar faces in the area.
- He collects the security footage and enhances it to get a clearer image of the person in the hoodie.
- Mark checks for any similar recent burglaries in nearby neighborhoods.

5. **Testing Hypotheses:**
- If a neighbor saw a suspicious person, it may support the hypothesis of a familiar neighborhood burglar.
- Comparing the enhanced footage with known individuals in the area could lead to identifying the person in the hoodie.
- Checking with other police departments about similar crimes might provide patterns or connections.

6. **Drawing Conclusions:**
- If multiple neighbors report seeing a suspicious person, and the enhanced footage matches a known individual, it strengthens the case.
- If there is a pattern of similar burglaries in nearby areas, it might suggest a serial burglar.

7. **Taking Action:**
- Mark can issue an alert to the community to be vigilant.
- If a suspect is identified, a warrant can be issued for their arrest.
- Increased patrols and community involvement may deter future criminal activity.

In this scenario, logical reasoning helps the detective gather and analyze evidence to narrow down possibilities, identify potential suspects, and take appropriate actions to solve the burglary case.