Book contents
- Frontmatter
- Contents
- Preface
- Acknowledgements
- Introduction
- PART I BASICS
- PART II SECOND-ORDER STRUCTURES
- PART III AC0 WORLD
- PART IV AC0(2) WORLD
- PART V TOWARDS PROOF COMPLEXITY
- 17 Propositional proof systems
- 18 An approach to lengths-of-proofs lower bounds
- 19 PHP principle
- PART VI PROOF COMPLEXITY OF Fd AND Fd (⊕)
- PART VII POLYNOMIAL-TIME AND HIGHER WORLDS
- PART VIII PROOF COMPLEXITY OF EF AND BEYOND
- Appendix: Non-standard models and the ultrapower construction
- Standard notation, conventions and list of symbols
- References
- Name index
- Subject index
17 - Propositional proof systems
Published online by Cambridge University Press: 05 November 2011
Book contents
- Frontmatter
- Contents
- Preface
- Acknowledgements
- Introduction
- PART I BASICS
- PART II SECOND-ORDER STRUCTURES
- PART III AC0 WORLD
- PART IV AC0(2) WORLD
- PART V TOWARDS PROOF COMPLEXITY
- 17 Propositional proof systems
- 18 An approach to lengths-of-proofs lower bounds
- 19 PHP principle
- PART VI PROOF COMPLEXITY OF Fd AND Fd (⊕)
- PART VII POLYNOMIAL-TIME AND HIGHER WORLDS
- PART VIII PROOF COMPLEXITY OF EF AND BEYOND
- Appendix: Non-standard models and the ultrapower construction
- Standard notation, conventions and list of symbols
- References
- Name index
- Subject index
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- Forcing with Random Variables and Proof Complexity , pp. 101 - 104Publisher: Cambridge University PressPrint publication year: 2010