Logic

Sansa Bench

Logic leaderboard for Sansa Bench, with charts, model comparison, and methodology. This dimension covers formal logic, fallacies, deductive structure, and related logical systems.

Inspiration & Acknowledgments91 models testedUpdated Aug 8, 2026

Top models for Logic

  1. 1.Qwen3.5-Flash-02-23 Reasoning High0.909
  2. 2.Glm-5.2 Reasoning High0.816
  3. 3.Gemini-3-Pro-Preview Reasoning High0.813
  4. 4.Gemini-3-Pro-Preview Reasoning Low0.811
  5. 5.Qwen3.5-35b-A3b Reasoning High0.810

Methodology: Logic

What it measures

Tests formal logic knowledge and principles. Queries cover logical fallacies (ad novitatem, disjunctive syllogism, complex question fallacy), deductive reasoning principles (valid argument structures, relationship between premises and conclusions), and advanced mathematical logic (Kripke countermodels for intuitionistic propositional logic). Evaluates understanding of formal logic terminology, the ability to identify fallacious reasoning, and knowledge of both classical and non-classical logic systems. Distinct from the broader 'reasoning' capability by focusing specifically on formal logical structures and principles.

Scoring & Criteria

Returns score 1.0 if the extracted answer exactly matches the expected answer letter (after normalization), otherwise 0.0. The system prompt requests answers in `<answer>X</answer>` format where X is a letter from the provided choices (A, B, C, D, etc.). The grader normalizes for models that include the full choice text instead of just the letter, or that violate the answer tag format from the system prompt. Only one answer is correct.

Evaluation Type: Multiple Choice

Grades multiple choice responses by exact string matching with normalization.

Example Question

Question:
In classical propositional logic, the statement 'If P then Q' ($P \to Q$) is logically equivalent to:
 
A. $Q \to P$
B. $\neg P \lor Q$
C. $\neg (P \land Q)$
D. $P \land \neg Q$
E. $\neg Q \lor P$
Answer:
B