Prawitz's theories form the basis of intuitionistic type theory, and his inversion principle constitutes the foundation of most modern accounts of proof-theoretic semantics. The proof-theoretical system represents a simpler and more illuminating method than alternative approaches, and this volume offers a succinct, coherent illustration of its applications to natural deduction. 1965 edition.
Prawitz's theories form the basis of intuitionistic type theory, and his inversion principle constitutes the foundation of most modern accounts of proof-theoretic semantics. The proof-theoretical system represents a simpler and more illuminating method than alternative approaches, and this volume offers a succinct, coherent illustration of its applications to natural deduction. 1965 edition.
1. Natural Deduction of Gentzen-Type 2. The Inversion Principle 3. Normal Deductions in Classical Logic 4. Normal Deductions in Intuitionistic Logic 5. Second Order Logic 6. Modal Logic 7. Some Other Concepts of Implication Appendix A. The Calculi of Sequents Appendix B. On a set theory by Fitch Appendix C. Notes on some other variants of natural deduction Bibliographical References Index Index of Symbols
1. Natural Deduction of Gentzen-Type 2. The Inversion Principle 3. Normal Deductions in Classical Logic 4. Normal Deductions in Intuitionistic Logic 5. Second Order Logic 6. Modal Logic 7. Some Other Concepts of Implication Appendix A. The Calculi of Sequents Appendix B. On a set theory by Fitch Appendix C. Notes on some other variants of natural deduction Bibliographical References Index Index of Symbols
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