Book123

    Free register and download UseNet downloader, then you can FREE Download from UseNet.

    Download without Limit " Technical Algebra of proofs " from UseNet for FREE!

More

Algebra of proofs (Studies in logic and the foundations of mathematics) by M. E Szabo

The author studies the algebraic properties of the proof theory of intuitionistic first-order logic in a categorical setting. The conceptual basis of the book is the realization that the Lindenbaum-Tarski algebras of formulas may be viewed as categories and that the formal proofs of the associated deductive systems determine structured categories as their canonical algebras which are of the same type as the Lindenbaum-Tarski algebras of formulas of the underlying languages. Following the Introduction (Chapter I), there are twelve additional chapters, in which the author studies twelve theories of varied linguistic and deductive strength. The theories are divided into two main types: the monoidal type, in which theories based on the common algebraic properties of conjunction and disjunction are investigated, and the Cartesian type, in which conjunction and disjunction have their proper meanings. In every chapter the author follows the same scheme. He first constructs a category of a certain type as an algebraic model for the class of formal proofs being considered. Then he proves a completeness theorem to the effect that the arrows of the constructed category can be represented by formal proofs in a Gentzen-style sequent calculus with cut elimination. In the propositional cases the algorithmic character of the cut-elimination process is used to provide an effective description of the arrows of the category constructed and to develop decision procedures, in the form of Church-Rosser theorems, for the commutativity of the finite diagrams of these categories. In the last chapter, the author also shows how to accommodate quantifiers in the calculus of adjoints and describes the topos-theoretic setting required in order to develop the proof theory of intuitionistic first-order logic.

Buy Book at Lowest Price on Amazon

or

or

or

You can send to me in PM your request about reupload ... any books with dead links. (!) Write URL of publication, please.

More serious and useful books! (Checked. Removed duplicates):

=======================

AIO BookReaders Pack (10 Mb): (PDF: Foxit Reader Pro v3.1 Build 0824; PDB: iSilo v5.05; DjVu: WinDjView v1.0.3)

Download: or or or

Rating:
2.5 out of 5 by Book123