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Systems of Formal Logic

Posted By: AvaxGenius
Systems of Formal Logic

Systems of Formal Logic by L. H. Hackstaff
English | PDF | 1966 | 367 Pages | ISBN : 902770077X | 23.4 MB

The present work constitutes an effort to approach the subject of symbol­ ic logic at the elementary to intermediate level in a novel way. The book is a study of a number of systems, their methods, their rela­ tions, their differences. In pursuit of this goal, a chapter explaining basic concepts of modern logic together with the truth-table techniques of definition and proof is first set out. In Chapter 2 a kind of ur-Iogic is built up and deductions are made on the basis of its axioms and rules. This axiom system, resembling a propositional system of Hilbert and Ber­ nays, is called P +, since it is a positive logic, i. e. , a logic devoid of nega­tion.

An Introduction to Mathematical Logic and Type Theory: To Truth Through Proof

Posted By: AvaxGenius
An Introduction to Mathematical Logic and Type Theory: To Truth Through Proof

An Introduction to Mathematical Logic and Type Theory: To Truth Through Proof by Peter B. Andrews
English | PDF | 2002 | 404 Pages | ISBN : 1402007639 | 29.6 MB

This introduction to mathematical logic starts with propositional calculus and first-order logic. Topics covered include syntax, semantics, soundness, completeness, independence, normal forms, vertical paths through negation normal formulas, compactness, Smullyan's Unifying Principle, natural deduction, cut-elimination, semantic tableaux, Skolemization, Herbrand's Theorem, unification, duality, interpolation, and definability.