Lectures on Mathematical Logic, Volume II /

"In this volume, logic starts from the observation that in everyday arguments, as brought forward by say a lawyer, statements are transformed linguistically, connecting them in formal ways irrespective of their contents. Understanding such arguments as deductive situations, or "sequents&qu...

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Bibliographic Details
Main Author: Felscher, Walter (Author)
Corporate Author: Taylor & Francis
Format: eBook
Language:English
Published: Boca Raton, FL : CRC Press, 2014.
Edition:First edition.
Subjects:
Online Access:Connect to the full text of this electronic book

MARC

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505 0 |a chapter Introduction -- chapter 1 Positive Rules for Deductive Situations -- chapter 2 The Calculus KsP -- chapter 3 The Calculi KtP and KuP -- chapter 4 Inversion Operators -- chapter 5 Tableaux -- part 2 Cuts -- chapter 1 Cut Elimination with Exchange Operators -- chapter 2 Arithmetization -- chapter 1 Explicit Retracing as a Motivation -- chapter 2 The Reduction Operator R0 -- chapter 3 The Reduction Operator R1 and the Elimination Operator -- chapter 1 Negation in Deductive Situations -- chapter 2 The Calculi KM0 of Minimal Logic and KJ0 of Intuitionistic Logic -- chapter 3 The Intermediary Calculi KM1, KJ1 -- chapter 4 The Calculi LM and LJ -- chapter 5 K-Calculi for the Connective -- chapter 6 Tableaux -- part 5 Sequent Calculi for Classical Logic -- chapter 1 The Multiple Calculus MK -- chapter 2 Cut Elimination with Inversion Rules for MK -- chapter 3 MK as a Calculus for Classical Logic -- chapter 4 The Calculi MP, MM and MJ -- chapter 5 The Peirce Rule -- chapter 6 Tableaux -- chapter 1 d-Algebras and d-Frames -- chapter 2 e-Algebras, e-Frames and RPC-Semilattices -- chapter 3 g-Algebras, g-Frames and RPC-Lattices -- chapter 4 m-Algebras, m-Frames and m-Lattices -- chapter 5 i-Algebras, i-Frames and Heyting Algebras -- chapter 6 c-Algebras, c-Frames and Boolean Algebras -- chapter 7 Translations from Classical into Intuitionistic Logic -- part 7 Calculi of Formulas -- chapter 1 Modus Ponens Calculi for Positive Logic -- chapter 2 Modus Ponens Calculi for Minimal and for Intuitionistic Logic -- chapter 3 Modus Ponens Calculi for Classical Logic -- chapter Historical Notes to Chapters 1 - 7 -- chapter 1 Quantifier Rules for Deductive Situations -- chapter 2 Sequent Calculi with Q-rules -- chapter 3 The Replacement Theorem and Cut Elimination for Calculi with rep -- chapter 4 The Substitution Theorem and Cut Elimination for Calculi with sub -- chapter 5 The Sets SUB -- chapter 6 The Substitution Theorem Resumed -- chapter 7 Cut Elimination Resumed -- chapter 8 Inversion Rules -- chapter 1 The Calculi cxqt and cxqs -- chapter 2 The Variants cxqt0 of cxqt -- chapter 3 The Variants cxqt1 and cxqt2 of cxqt -- chapter 4 The Calculi cxqsi -- chapter 5 The Deduction Theorem and Other Metarules for the Calculi ccqti -- chapter 6 Tautologies of Positive Quantifier Logic -- chapter 7 Tautologies of Minimal Quantifier Logic -- chapter 8 Tautologies of Classical Quantifier Logic -- chapter 1 Translating Between Sequential and Modus Ponens Calculi -- chapter 2 Relations between Classical and Intuitionistic Derivability -- chapter 3 Equality Logic -- chapter 4 Language Extensions with Predicate Symbols -- chapter 5 Language Extensions with Function Symbols 1 -- chapter 6 Language Extensions with Function Symbols 2 -- chapter 7 The Midsequent Theorem -- chapter 8 Herbrand's Theorem for Prenex Formulas -- chapter 9 Tableaux. 
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