# OCME · Knowledge & practice explorer

302 MKO / 1,441 families / 360 batches / 36,000 questions.

36,000 second-context math/bilingual reviewed; 0 display/symbol-checked candidates. Source questions: candidate. English: ai_candidate. No new proof, Lean, SREG or training.

100 results; page 3/4.

## Question 26151: A Many-One Reduction Preserves Both Yes and No Membership

- ID: `q-20261015-advance-20261115-r07-many-one-reduction-0026`; number: 26151
- Processing: second_context_reviewed
- MKO: [mko-many-one-reduction](/en/mko/mko-many-one-reduction/)
- Family: [qf-mod46-mreduction-iff-audit](/en/explore/?family=qf-mod46-mreduction-iff-audit)
- Batch: [batch-20261015-advance-20261115-r07-many-one-reduction-foundations](/en/explore/?batch=batch-20261015-advance-20261115-r07-many-one-reduction-foundations)
- [Derivation](/en/questions/q-20261015-advance-20261115-r07-many-one-reduction-0026/) / [Markdown](/en/questions/q-20261015-advance-20261115-r07-many-one-reduction-0026/index.md) / [JSON](/data/question-derivations/questions/q-20261015-advance-20261115-r07-many-one-reduction-0026.json)

## Question 26152: A Many-One Reduction Preserves Both Yes and No Membership

- ID: `q-20261015-advance-20261115-r07-many-one-reduction-0027`; number: 26152
- Processing: second_context_reviewed
- MKO: [mko-many-one-reduction](/en/mko/mko-many-one-reduction/)
- Family: [qf-mod46-mreduction-iff-audit](/en/explore/?family=qf-mod46-mreduction-iff-audit)
- Batch: [batch-20261015-advance-20261115-r07-many-one-reduction-foundations](/en/explore/?batch=batch-20261015-advance-20261115-r07-many-one-reduction-foundations)
- [Derivation](/en/questions/q-20261015-advance-20261115-r07-many-one-reduction-0027/) / [Markdown](/en/questions/q-20261015-advance-20261115-r07-many-one-reduction-0027/index.md) / [JSON](/data/question-derivations/questions/q-20261015-advance-20261115-r07-many-one-reduction-0027.json)

## Question 26153: A Many-One Reduction Preserves Both Yes and No Membership

- ID: `q-20261015-advance-20261115-r07-many-one-reduction-0028`; number: 26153
- Processing: second_context_reviewed
- MKO: [mko-many-one-reduction](/en/mko/mko-many-one-reduction/)
- Family: [qf-mod46-mreduction-iff-audit](/en/explore/?family=qf-mod46-mreduction-iff-audit)
- Batch: [batch-20261015-advance-20261115-r07-many-one-reduction-foundations](/en/explore/?batch=batch-20261015-advance-20261115-r07-many-one-reduction-foundations)
- [Derivation](/en/questions/q-20261015-advance-20261115-r07-many-one-reduction-0028/) / [Markdown](/en/questions/q-20261015-advance-20261115-r07-many-one-reduction-0028/index.md) / [JSON](/data/question-derivations/questions/q-20261015-advance-20261115-r07-many-one-reduction-0028.json)

## Question 26154: A Many-One Reduction Preserves Both Yes and No Membership

- ID: `q-20261015-advance-20261115-r07-many-one-reduction-0029`; number: 26154
- Processing: second_context_reviewed
- MKO: [mko-many-one-reduction](/en/mko/mko-many-one-reduction/)
- Family: [qf-mod46-mreduction-iff-audit](/en/explore/?family=qf-mod46-mreduction-iff-audit)
- Batch: [batch-20261015-advance-20261115-r07-many-one-reduction-foundations](/en/explore/?batch=batch-20261015-advance-20261115-r07-many-one-reduction-foundations)
- [Derivation](/en/questions/q-20261015-advance-20261115-r07-many-one-reduction-0029/) / [Markdown](/en/questions/q-20261015-advance-20261115-r07-many-one-reduction-0029/index.md) / [JSON](/data/question-derivations/questions/q-20261015-advance-20261115-r07-many-one-reduction-0029.json)

## Question 26155: A Many-One Reduction Preserves Both Yes and No Membership

- ID: `q-20261015-advance-20261115-r07-many-one-reduction-0030`; number: 26155
- Processing: second_context_reviewed
- MKO: [mko-many-one-reduction](/en/mko/mko-many-one-reduction/)
- Family: [qf-mod46-mreduction-iff-audit](/en/explore/?family=qf-mod46-mreduction-iff-audit)
- Batch: [batch-20261015-advance-20261115-r07-many-one-reduction-foundations](/en/explore/?batch=batch-20261015-advance-20261115-r07-many-one-reduction-foundations)
- [Derivation](/en/questions/q-20261015-advance-20261115-r07-many-one-reduction-0030/) / [Markdown](/en/questions/q-20261015-advance-20261115-r07-many-one-reduction-0030/index.md) / [JSON](/data/question-derivations/questions/q-20261015-advance-20261115-r07-many-one-reduction-0030.json)

## Question 26156: A Many-One Reduction Preserves Both Yes and No Membership

- ID: `q-20261015-advance-20261115-r07-many-one-reduction-0031`; number: 26156
- Processing: second_context_reviewed
- MKO: [mko-many-one-reduction](/en/mko/mko-many-one-reduction/)
- Family: [qf-mod46-mreduction-iff-audit](/en/explore/?family=qf-mod46-mreduction-iff-audit)
- Batch: [batch-20261015-advance-20261115-r07-many-one-reduction-foundations](/en/explore/?batch=batch-20261015-advance-20261115-r07-many-one-reduction-foundations)
- [Derivation](/en/questions/q-20261015-advance-20261115-r07-many-one-reduction-0031/) / [Markdown](/en/questions/q-20261015-advance-20261115-r07-many-one-reduction-0031/index.md) / [JSON](/data/question-derivations/questions/q-20261015-advance-20261115-r07-many-one-reduction-0031.json)

## Question 26157: A Many-One Reduction Preserves Both Yes and No Membership

- ID: `q-20261015-advance-20261115-r07-many-one-reduction-0032`; number: 26157
- Processing: second_context_reviewed
- MKO: [mko-many-one-reduction](/en/mko/mko-many-one-reduction/)
- Family: [qf-mod46-mreduction-iff-audit](/en/explore/?family=qf-mod46-mreduction-iff-audit)
- Batch: [batch-20261015-advance-20261115-r07-many-one-reduction-foundations](/en/explore/?batch=batch-20261015-advance-20261115-r07-many-one-reduction-foundations)
- [Derivation](/en/questions/q-20261015-advance-20261115-r07-many-one-reduction-0032/) / [Markdown](/en/questions/q-20261015-advance-20261115-r07-many-one-reduction-0032/index.md) / [JSON](/data/question-derivations/questions/q-20261015-advance-20261115-r07-many-one-reduction-0032.json)

## Question 26158: A Many-One Reduction Preserves Both Yes and No Membership

- ID: `q-20261015-advance-20261115-r07-many-one-reduction-0033`; number: 26158
- Processing: second_context_reviewed
- MKO: [mko-many-one-reduction](/en/mko/mko-many-one-reduction/)
- Family: [qf-mod46-mreduction-iff-audit](/en/explore/?family=qf-mod46-mreduction-iff-audit)
- Batch: [batch-20261015-advance-20261115-r07-many-one-reduction-foundations](/en/explore/?batch=batch-20261015-advance-20261115-r07-many-one-reduction-foundations)
- [Derivation](/en/questions/q-20261015-advance-20261115-r07-many-one-reduction-0033/) / [Markdown](/en/questions/q-20261015-advance-20261115-r07-many-one-reduction-0033/index.md) / [JSON](/data/question-derivations/questions/q-20261015-advance-20261115-r07-many-one-reduction-0033.json)

## Question 26159: A Many-One Reduction Preserves Both Yes and No Membership

- ID: `q-20261015-advance-20261115-r07-many-one-reduction-0034`; number: 26159
- Processing: second_context_reviewed
- MKO: [mko-many-one-reduction](/en/mko/mko-many-one-reduction/)
- Family: [qf-mod46-mreduction-iff-audit](/en/explore/?family=qf-mod46-mreduction-iff-audit)
- Batch: [batch-20261015-advance-20261115-r07-many-one-reduction-foundations](/en/explore/?batch=batch-20261015-advance-20261115-r07-many-one-reduction-foundations)
- [Derivation](/en/questions/q-20261015-advance-20261115-r07-many-one-reduction-0034/) / [Markdown](/en/questions/q-20261015-advance-20261115-r07-many-one-reduction-0034/index.md) / [JSON](/data/question-derivations/questions/q-20261015-advance-20261115-r07-many-one-reduction-0034.json)

## Question 26160: A Many-One Reduction Preserves Both Yes and No Membership

- ID: `q-20261015-advance-20261115-r07-many-one-reduction-0035`; number: 26160
- Processing: second_context_reviewed
- MKO: [mko-many-one-reduction](/en/mko/mko-many-one-reduction/)
- Family: [qf-mod46-mreduction-iff-audit](/en/explore/?family=qf-mod46-mreduction-iff-audit)
- Batch: [batch-20261015-advance-20261115-r07-many-one-reduction-foundations](/en/explore/?batch=batch-20261015-advance-20261115-r07-many-one-reduction-foundations)
- [Derivation](/en/questions/q-20261015-advance-20261115-r07-many-one-reduction-0035/) / [Markdown](/en/questions/q-20261015-advance-20261115-r07-many-one-reduction-0035/index.md) / [JSON](/data/question-derivations/questions/q-20261015-advance-20261115-r07-many-one-reduction-0035.json)

## Question 26161: A Many-One Reduction Preserves Both Yes and No Membership

- ID: `q-20261015-advance-20261115-r07-many-one-reduction-0036`; number: 26161
- Processing: second_context_reviewed
- MKO: [mko-many-one-reduction](/en/mko/mko-many-one-reduction/)
- Family: [qf-mod46-mreduction-iff-audit](/en/explore/?family=qf-mod46-mreduction-iff-audit)
- Batch: [batch-20261015-advance-20261115-r07-many-one-reduction-foundations](/en/explore/?batch=batch-20261015-advance-20261115-r07-many-one-reduction-foundations)
- [Derivation](/en/questions/q-20261015-advance-20261115-r07-many-one-reduction-0036/) / [Markdown](/en/questions/q-20261015-advance-20261115-r07-many-one-reduction-0036/index.md) / [JSON](/data/question-derivations/questions/q-20261015-advance-20261115-r07-many-one-reduction-0036.json)

## Question 26162: A Many-One Reduction Preserves Both Yes and No Membership

- ID: `q-20261015-advance-20261115-r07-many-one-reduction-0037`; number: 26162
- Processing: second_context_reviewed
- MKO: [mko-many-one-reduction](/en/mko/mko-many-one-reduction/)
- Family: [qf-mod46-mreduction-iff-audit](/en/explore/?family=qf-mod46-mreduction-iff-audit)
- Batch: [batch-20261015-advance-20261115-r07-many-one-reduction-foundations](/en/explore/?batch=batch-20261015-advance-20261115-r07-many-one-reduction-foundations)
- [Derivation](/en/questions/q-20261015-advance-20261115-r07-many-one-reduction-0037/) / [Markdown](/en/questions/q-20261015-advance-20261115-r07-many-one-reduction-0037/index.md) / [JSON](/data/question-derivations/questions/q-20261015-advance-20261115-r07-many-one-reduction-0037.json)

## Question 26163: A Many-One Reduction Preserves Both Yes and No Membership

- ID: `q-20261015-advance-20261115-r07-many-one-reduction-0038`; number: 26163
- Processing: second_context_reviewed
- MKO: [mko-many-one-reduction](/en/mko/mko-many-one-reduction/)
- Family: [qf-mod46-mreduction-iff-audit](/en/explore/?family=qf-mod46-mreduction-iff-audit)
- Batch: [batch-20261015-advance-20261115-r07-many-one-reduction-foundations](/en/explore/?batch=batch-20261015-advance-20261115-r07-many-one-reduction-foundations)
- [Derivation](/en/questions/q-20261015-advance-20261115-r07-many-one-reduction-0038/) / [Markdown](/en/questions/q-20261015-advance-20261115-r07-many-one-reduction-0038/index.md) / [JSON](/data/question-derivations/questions/q-20261015-advance-20261115-r07-many-one-reduction-0038.json)

## Question 26164: A Many-One Reduction Preserves Both Yes and No Membership

- ID: `q-20261015-advance-20261115-r07-many-one-reduction-0039`; number: 26164
- Processing: second_context_reviewed
- MKO: [mko-many-one-reduction](/en/mko/mko-many-one-reduction/)
- Family: [qf-mod46-mreduction-iff-audit](/en/explore/?family=qf-mod46-mreduction-iff-audit)
- Batch: [batch-20261015-advance-20261115-r07-many-one-reduction-foundations](/en/explore/?batch=batch-20261015-advance-20261115-r07-many-one-reduction-foundations)
- [Derivation](/en/questions/q-20261015-advance-20261115-r07-many-one-reduction-0039/) / [Markdown](/en/questions/q-20261015-advance-20261115-r07-many-one-reduction-0039/index.md) / [JSON](/data/question-derivations/questions/q-20261015-advance-20261115-r07-many-one-reduction-0039.json)

## Question 26165: A Many-One Reduction Preserves Both Yes and No Membership

- ID: `q-20261015-advance-20261115-r07-many-one-reduction-0040`; number: 26165
- Processing: second_context_reviewed
- MKO: [mko-many-one-reduction](/en/mko/mko-many-one-reduction/)
- Family: [qf-mod46-mreduction-iff-audit](/en/explore/?family=qf-mod46-mreduction-iff-audit)
- Batch: [batch-20261015-advance-20261115-r07-many-one-reduction-foundations](/en/explore/?batch=batch-20261015-advance-20261115-r07-many-one-reduction-foundations)
- [Derivation](/en/questions/q-20261015-advance-20261115-r07-many-one-reduction-0040/) / [Markdown](/en/questions/q-20261015-advance-20261115-r07-many-one-reduction-0040/index.md) / [JSON](/data/question-derivations/questions/q-20261015-advance-20261115-r07-many-one-reduction-0040.json)

## Question 26166: A Many-One Reduction Preserves Both Yes and No Membership

- ID: `q-20261015-advance-20261115-r07-many-one-reduction-0041`; number: 26166
- Processing: second_context_reviewed
- MKO: [mko-many-one-reduction](/en/mko/mko-many-one-reduction/)
- Family: [qf-mod46-mreduction-iff-audit](/en/explore/?family=qf-mod46-mreduction-iff-audit)
- Batch: [batch-20261015-advance-20261115-r07-many-one-reduction-foundations](/en/explore/?batch=batch-20261015-advance-20261115-r07-many-one-reduction-foundations)
- [Derivation](/en/questions/q-20261015-advance-20261115-r07-many-one-reduction-0041/) / [Markdown](/en/questions/q-20261015-advance-20261115-r07-many-one-reduction-0041/index.md) / [JSON](/data/question-derivations/questions/q-20261015-advance-20261115-r07-many-one-reduction-0041.json)

## Question 26167: A Many-One Reduction Preserves Both Yes and No Membership

- ID: `q-20261015-advance-20261115-r07-many-one-reduction-0042`; number: 26167
- Processing: second_context_reviewed
- MKO: [mko-many-one-reduction](/en/mko/mko-many-one-reduction/)
- Family: [qf-mod46-mreduction-iff-audit](/en/explore/?family=qf-mod46-mreduction-iff-audit)
- Batch: [batch-20261015-advance-20261115-r07-many-one-reduction-foundations](/en/explore/?batch=batch-20261015-advance-20261115-r07-many-one-reduction-foundations)
- [Derivation](/en/questions/q-20261015-advance-20261115-r07-many-one-reduction-0042/) / [Markdown](/en/questions/q-20261015-advance-20261115-r07-many-one-reduction-0042/index.md) / [JSON](/data/question-derivations/questions/q-20261015-advance-20261115-r07-many-one-reduction-0042.json)

## Question 26168: A Many-One Reduction Preserves Both Yes and No Membership

- ID: `q-20261015-advance-20261115-r07-many-one-reduction-0043`; number: 26168
- Processing: second_context_reviewed
- MKO: [mko-many-one-reduction](/en/mko/mko-many-one-reduction/)
- Family: [qf-mod46-mreduction-iff-audit](/en/explore/?family=qf-mod46-mreduction-iff-audit)
- Batch: [batch-20261015-advance-20261115-r07-many-one-reduction-foundations](/en/explore/?batch=batch-20261015-advance-20261115-r07-many-one-reduction-foundations)
- [Derivation](/en/questions/q-20261015-advance-20261115-r07-many-one-reduction-0043/) / [Markdown](/en/questions/q-20261015-advance-20261115-r07-many-one-reduction-0043/index.md) / [JSON](/data/question-derivations/questions/q-20261015-advance-20261115-r07-many-one-reduction-0043.json)

## Question 26169: A Many-One Reduction Preserves Both Yes and No Membership

- ID: `q-20261015-advance-20261115-r07-many-one-reduction-0044`; number: 26169
- Processing: second_context_reviewed
- MKO: [mko-many-one-reduction](/en/mko/mko-many-one-reduction/)
- Family: [qf-mod46-mreduction-iff-audit](/en/explore/?family=qf-mod46-mreduction-iff-audit)
- Batch: [batch-20261015-advance-20261115-r07-many-one-reduction-foundations](/en/explore/?batch=batch-20261015-advance-20261115-r07-many-one-reduction-foundations)
- [Derivation](/en/questions/q-20261015-advance-20261115-r07-many-one-reduction-0044/) / [Markdown](/en/questions/q-20261015-advance-20261115-r07-many-one-reduction-0044/index.md) / [JSON](/data/question-derivations/questions/q-20261015-advance-20261115-r07-many-one-reduction-0044.json)

## Question 26170: A Many-One Reduction Preserves Both Yes and No Membership

- ID: `q-20261015-advance-20261115-r07-many-one-reduction-0045`; number: 26170
- Processing: second_context_reviewed
- MKO: [mko-many-one-reduction](/en/mko/mko-many-one-reduction/)
- Family: [qf-mod46-mreduction-iff-audit](/en/explore/?family=qf-mod46-mreduction-iff-audit)
- Batch: [batch-20261015-advance-20261115-r07-many-one-reduction-foundations](/en/explore/?batch=batch-20261015-advance-20261115-r07-many-one-reduction-foundations)
- [Derivation](/en/questions/q-20261015-advance-20261115-r07-many-one-reduction-0045/) / [Markdown](/en/questions/q-20261015-advance-20261115-r07-many-one-reduction-0045/index.md) / [JSON](/data/question-derivations/questions/q-20261015-advance-20261115-r07-many-one-reduction-0045.json)

## Question 26171: A Many-One Reduction Preserves Both Yes and No Membership

- ID: `q-20261015-advance-20261115-r07-many-one-reduction-0046`; number: 26171
- Processing: second_context_reviewed
- MKO: [mko-many-one-reduction](/en/mko/mko-many-one-reduction/)
- Family: [qf-mod46-mreduction-iff-audit](/en/explore/?family=qf-mod46-mreduction-iff-audit)
- Batch: [batch-20261015-advance-20261115-r07-many-one-reduction-foundations](/en/explore/?batch=batch-20261015-advance-20261115-r07-many-one-reduction-foundations)
- [Derivation](/en/questions/q-20261015-advance-20261115-r07-many-one-reduction-0046/) / [Markdown](/en/questions/q-20261015-advance-20261115-r07-many-one-reduction-0046/index.md) / [JSON](/data/question-derivations/questions/q-20261015-advance-20261115-r07-many-one-reduction-0046.json)

## Question 26172: A Many-One Reduction Preserves Both Yes and No Membership

- ID: `q-20261015-advance-20261115-r07-many-one-reduction-0047`; number: 26172
- Processing: second_context_reviewed
- MKO: [mko-many-one-reduction](/en/mko/mko-many-one-reduction/)
- Family: [qf-mod46-mreduction-iff-audit](/en/explore/?family=qf-mod46-mreduction-iff-audit)
- Batch: [batch-20261015-advance-20261115-r07-many-one-reduction-foundations](/en/explore/?batch=batch-20261015-advance-20261115-r07-many-one-reduction-foundations)
- [Derivation](/en/questions/q-20261015-advance-20261115-r07-many-one-reduction-0047/) / [Markdown](/en/questions/q-20261015-advance-20261115-r07-many-one-reduction-0047/index.md) / [JSON](/data/question-derivations/questions/q-20261015-advance-20261115-r07-many-one-reduction-0047.json)

## Question 26173: A Many-One Reduction Preserves Both Yes and No Membership

- ID: `q-20261015-advance-20261115-r07-many-one-reduction-0048`; number: 26173
- Processing: second_context_reviewed
- MKO: [mko-many-one-reduction](/en/mko/mko-many-one-reduction/)
- Family: [qf-mod46-mreduction-iff-audit](/en/explore/?family=qf-mod46-mreduction-iff-audit)
- Batch: [batch-20261015-advance-20261115-r07-many-one-reduction-foundations](/en/explore/?batch=batch-20261015-advance-20261115-r07-many-one-reduction-foundations)
- [Derivation](/en/questions/q-20261015-advance-20261115-r07-many-one-reduction-0048/) / [Markdown](/en/questions/q-20261015-advance-20261115-r07-many-one-reduction-0048/index.md) / [JSON](/data/question-derivations/questions/q-20261015-advance-20261115-r07-many-one-reduction-0048.json)

## Question 26174: A Many-One Reduction Preserves Both Yes and No Membership

- ID: `q-20261015-advance-20261115-r07-many-one-reduction-0049`; number: 26174
- Processing: second_context_reviewed
- MKO: [mko-many-one-reduction](/en/mko/mko-many-one-reduction/)
- Family: [qf-mod46-mreduction-iff-audit](/en/explore/?family=qf-mod46-mreduction-iff-audit)
- Batch: [batch-20261015-advance-20261115-r07-many-one-reduction-foundations](/en/explore/?batch=batch-20261015-advance-20261115-r07-many-one-reduction-foundations)
- [Derivation](/en/questions/q-20261015-advance-20261115-r07-many-one-reduction-0049/) / [Markdown](/en/questions/q-20261015-advance-20261115-r07-many-one-reduction-0049/index.md) / [JSON](/data/question-derivations/questions/q-20261015-advance-20261115-r07-many-one-reduction-0049.json)

## Question 26175: A Many-One Reduction Preserves Both Yes and No Membership

- ID: `q-20261015-advance-20261115-r07-many-one-reduction-0050`; number: 26175
- Processing: second_context_reviewed
- MKO: [mko-many-one-reduction](/en/mko/mko-many-one-reduction/)
- Family: [qf-mod46-mreduction-iff-audit](/en/explore/?family=qf-mod46-mreduction-iff-audit)
- Batch: [batch-20261015-advance-20261115-r07-many-one-reduction-foundations](/en/explore/?batch=batch-20261015-advance-20261115-r07-many-one-reduction-foundations)
- [Derivation](/en/questions/q-20261015-advance-20261115-r07-many-one-reduction-0050/) / [Markdown](/en/questions/q-20261015-advance-20261115-r07-many-one-reduction-0050/index.md) / [JSON](/data/question-derivations/questions/q-20261015-advance-20261115-r07-many-one-reduction-0050.json)

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