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Computability And Logic by George S. Boolos

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1Logic, Foundations Of Mathematics, And Computability Theory

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The book is available for download in "texts" format, the size of the file-s is: 971.72 Mbs, the file-s for this book were downloaded 62 times, the file-s went public at Tue May 07 2019.

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2Models And Computability : Invited Papers From Logic Colloquium '97, European Meeting Of The Association For Symbolic Logic, Leeds, July 1997

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The book is available for download in "texts" format, the size of the file-s is: 1288.39 Mbs, the file-s for this book were downloaded 14 times, the file-s went public at Thu May 05 2022.

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3Computability And Logic

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The book is available for download in "texts" format, the size of the file-s is: 897.00 Mbs, the file-s for this book were downloaded 201 times, the file-s went public at Tue Sep 03 2019.

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4Computability And Logic

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The book is available for download in "texts" format, the size of the file-s is: 852.52 Mbs, the file-s for this book were downloaded 63 times, the file-s went public at Tue Sep 03 2019.

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5Foundations Of Real Analysis And Computability Theory In Non-Aristotelian Finitary Logic

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This paper outlines new paradigms for real analysis and computability theory in the recently proposed non-Aristotelian finitary logic (NAFL). Constructive real analysis in NAFL (NRA) is accomplished by a translation of diagrammatic concepts from Euclidean geometry into an extension (NPAR) of the NAFL version of Peano Arithmetic (NPA). Such a translation is possible because NPA proves the existence of every infinite proper class of natural numbers that is definable in the language of NPA. Infinite sets are not permitted in NPAR and quantification over proper classes is banned; hence Cantor's diagonal argument cannot be legally formulated in NRA, and there is no `cardinality' for any collection (`super-class') of real numbers. Many of the useful aspects of classical real analysis, such as, the calculus of Newton and Leibniz, are justifiable in NRA. But the paradoxes, such as, Zeno's paradoxes of motion and the Banach-Tarski paradox, are resolved because NRA admits only closed super-classes of real numbers; in particular, open/semi-open intervals of real numbers are not permitted. The NAFL version of computability theory (NCT) rejects Turing's argument for the undecidability of the halting problem and permits hypercomputation. Important potential applications of NCT are in the areas of quantum and autonomic computing.

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The book is available for download in "texts" format, the size of the file-s is: 13.19 Mbs, the file-s for this book were downloaded 159 times, the file-s went public at Fri Sep 20 2013.

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6Computability And Logic

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This paper outlines new paradigms for real analysis and computability theory in the recently proposed non-Aristotelian finitary logic (NAFL). Constructive real analysis in NAFL (NRA) is accomplished by a translation of diagrammatic concepts from Euclidean geometry into an extension (NPAR) of the NAFL version of Peano Arithmetic (NPA). Such a translation is possible because NPA proves the existence of every infinite proper class of natural numbers that is definable in the language of NPA. Infinite sets are not permitted in NPAR and quantification over proper classes is banned; hence Cantor's diagonal argument cannot be legally formulated in NRA, and there is no `cardinality' for any collection (`super-class') of real numbers. Many of the useful aspects of classical real analysis, such as, the calculus of Newton and Leibniz, are justifiable in NRA. But the paradoxes, such as, Zeno's paradoxes of motion and the Banach-Tarski paradox, are resolved because NRA admits only closed super-classes of real numbers; in particular, open/semi-open intervals of real numbers are not permitted. The NAFL version of computability theory (NCT) rejects Turing's argument for the undecidability of the halting problem and permits hypercomputation. Important potential applications of NCT are in the areas of quantum and autonomic computing.

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The book is available for download in "texts" format, the size of the file-s is: 879.56 Mbs, the file-s for this book were downloaded 926 times, the file-s went public at Mon May 20 2019.

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7Computability And Logic

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x, 262 p. : 24 cm

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The book is available for download in "texts" format, the size of the file-s is: 578.71 Mbs, the file-s for this book were downloaded 503 times, the file-s went public at Tue Sep 03 2019.

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8Soundness And Completeness Of The Cirquent Calculus System CL6 For Computability Logic

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Computability logic is a formal theory of computability. The earlier article "Introduction to cirquent calculus and abstract resource semantics" by Japaridze proved soundness and completeness for the basic fragment CL5 of computability logic. The present article extends that result to the more expressive cirquent calculus system CL6, which is a conservative extension of both CL5 and classical propositional logic.

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  • Title: ➤  Soundness And Completeness Of The Cirquent Calculus System CL6 For Computability Logic
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9Non-classical Logics, Model Theory, And Computability : Proceedings Of The Third Latin-American Symposium On Mathematical Logic, Campinas, Brazil, July 11-17, 1976

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Computability logic is a formal theory of computability. The earlier article "Introduction to cirquent calculus and abstract resource semantics" by Japaridze proved soundness and completeness for the basic fragment CL5 of computability logic. The present article extends that result to the more expressive cirquent calculus system CL6, which is a conservative extension of both CL5 and classical propositional logic.

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  • Title: ➤  Non-classical Logics, Model Theory, And Computability : Proceedings Of The Third Latin-American Symposium On Mathematical Logic, Campinas, Brazil, July 11-17, 1976
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The book is available for download in "texts" format, the size of the file-s is: 713.35 Mbs, the file-s for this book were downloaded 25 times, the file-s went public at Thu Oct 07 2021.

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10Computability : Computable Functions, Logic, And The Foundations Of Mathematics

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Computability logic is a formal theory of computability. The earlier article "Introduction to cirquent calculus and abstract resource semantics" by Japaridze proved soundness and completeness for the basic fragment CL5 of computability logic. The present article extends that result to the more expressive cirquent calculus system CL6, which is a conservative extension of both CL5 and classical propositional logic.

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The book is available for download in "texts" format, the size of the file-s is: 811.73 Mbs, the file-s for this book were downloaded 185 times, the file-s went public at Mon Sep 02 2019.

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11Computability And Logic

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Computability logic is a formal theory of computability. The earlier article "Introduction to cirquent calculus and abstract resource semantics" by Japaridze proved soundness and completeness for the basic fragment CL5 of computability logic. The present article extends that result to the more expressive cirquent calculus system CL6, which is a conservative extension of both CL5 and classical propositional logic.

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The book is available for download in "texts" format, the size of the file-s is: 488.38 Mbs, the file-s for this book were downloaded 114 times, the file-s went public at Sat Aug 31 2019.

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12Computability Theory, Semantics, And Logic Programming

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Computability logic is a formal theory of computability. The earlier article "Introduction to cirquent calculus and abstract resource semantics" by Japaridze proved soundness and completeness for the basic fragment CL5 of computability logic. The present article extends that result to the more expressive cirquent calculus system CL6, which is a conservative extension of both CL5 and classical propositional logic.

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The book is available for download in "texts" format, the size of the file-s is: 614.30 Mbs, the file-s for this book were downloaded 42 times, the file-s went public at Tue Aug 13 2019.

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13Computability And Logic

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The book is available for download in "texts" format, the size of the file-s is: 233.65 Mbs, the file-s for this book were downloaded 53 times, the file-s went public at Thu Dec 12 2024.

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14Kurt Godel And Per Martin Lof A First Course In Logic An Introduction To Model Theory, Proof Theory, Computability, And Complexity ( Oxford Texts In Logic)

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Acknowledgments - Florida Southern College provided a most pleasant and hospitable setting for the writing of this book. Thanks to all of my friends and colleagues at the college. In particular, I thank colleague David Rose and student Biljana Cokovic for reading portions of the manuscript and offering helpful feedback. I thank my colleague Mike Way for much needed technological assistance. This book began as lecture notes for a course I taught at the University of Maryland.

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The book is available for download in "texts" format, the size of the file-s is: 240.44 Mbs, the file-s for this book were downloaded 340 times, the file-s went public at Sat Sep 02 2023.

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