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Symbolic Logic and Mechanical Theorem Proving

30 September 2011

**Symbolic Logic and Mechanical Theorem Proving**

This book contains an introduction to symbolic logic and a thorough discussion of mechanical theorem proving and its applications. The book consists of three major parts. Chapters 2 and 3 constitute an introduction to symbolic logic. Chapters 4-9 introduce several techniques in mechanical theorem proving, and Chapters 10 an 11 show how theorem proving can be applied to various areas such as question answering, problem solving, program analysis, and program synthesis. ...

30 September 2011

1973 | 331 | ISBN: 0121703509 | DJVU | 2 Mb

This book contains an introduction to symbolic logic and a thorough discussion of mechanical theorem proving and its applications. The book consists of three major parts. Chapters 2 and 3 constitute an introduction to symbolic logic. Chapters 4-9 introduce several techniques in mechanical theorem proving, and Chapters 10 an 11 show how theorem proving can be applied to various areas such as question answering, problem solving, program analysis, and program synthesis. ...

The Xtra Factor S10E02 480p HDTV x264-mSD

2 September 2013

**The Xtra Factor S10E02 480p HDTV x264-mSD**

File: The.Xtra.Factor.S10E02.480p.HDTV.x264-mSD.mkv

Size: 334915290 bytes (319.40 MiB), duration: 00:44:30, avg.bitrate: 1003 kb/s

Audio: aac, 48000 Hz, stereo

Video: h264, yuv420p, 852x480, 25.00 fps(r) (eng)

Welcome to The Xtra Factor guide at TV.com. The Xtra Factor airs on ITV2 when The X Factor ends on ITV1 and is hosted by Ben Shephard. During the audition stages it shows some exclusive unseen auditions and reactions from the judges. During the lives stages, it shows exclusive clips of the contestants during the week, of their sound checks and talks to the latest evicted act. In season 1 there was just one Xtra Factor show, airing after the live shows on ITV 1 on a Saturday night. This show talked to the judges and to the latest evicted act. In season 2, two extra one-hour shows were added to the Xtra Factor line-up. 24/7 aired midweek and showed footage of the contestants during their week as they prepared to the next live show and became accustomed to the popstar lifestyle. The other new show, Xcess All Areas aired on the Friday and checked in with the contestants before the Saturday live show.

2 September 2013

File: The.Xtra.Factor.S10E02.480p.HDTV.x264-mSD.mkv

Size: 334915290 bytes (319.40 MiB), duration: 00:44:30, avg.bitrate: 1003 kb/s

Audio: aac, 48000 Hz, stereo

Video: h264, yuv420p, 852x480, 25.00 fps(r) (eng)

The Xtra Factor S10E02 720p HDTV x264-W4F

2 September 2013

**The Xtra Factor S10E02 720p HDTV x264-W4F**

File: the.xtra.factor.s10e02.720p.hdtv.x264-w4f.mkv

Size: 1183735095 bytes (1.10 GiB), duration: 00:44:30, avg.bitrate: 3547 kb/s

Audio: ac3, 48000 Hz, stereo

Video: h264, yuv420p, 1280x720, 25.00 fps(r)

Welcome to The Xtra Factor guide at TV.com. The Xtra Factor airs on ITV2 when The X Factor ends on ITV1 and is hosted by Ben Shephard. During the audition stages it shows some exclusive unseen auditions and reactions from the judges. During the lives stages, it shows exclusive clips of the contestants during the week, of their sound checks and talks to the latest evicted act. In season 1 there was just one Xtra Factor show, airing after the live shows on ITV 1 on a Saturday night.

2 September 2013

File: the.xtra.factor.s10e02.720p.hdtv.x264-w4f.mkv

Size: 1183735095 bytes (1.10 GiB), duration: 00:44:30, avg.bitrate: 3547 kb/s

Audio: ac3, 48000 Hz, stereo

Video: h264, yuv420p, 1280x720, 25.00 fps(r)

The Xtra Factor S10E01 480p HDTV x264-mSD

1 September 2013

**The Xtra Factor S10E01 480p HDTV x264-mSD**

File: The.Xtra.Factor.S10E01.480p.HDTV.x264-mSD.mkv

Size: 346724350 bytes (330.66 MiB), duration: 00:46:02, avg.bitrate: 1004 kb/s

Audio: aac, 48000 Hz, stereo

Video: h264, yuv420p, 852x480, 25.00 fps(r) (eng)

Welcome to The Xtra Factor guide at TV.com. The Xtra Factor airs on ITV2 when The X Factor ends on ITV1 and is hosted by Ben Shephard. During the audition stages it shows some exclusive unseen auditions and reactions from the judges. During the lives stages, it shows exclusive clips of the contestants during the week, of their sound checks and talks to the latest evicted act. In season 1 there was just one Xtra Factor show, airing after the live shows on ITV 1 on a Saturday night. This show talked to the judges and to the latest evicted act.

1 September 2013

File: The.Xtra.Factor.S10E01.480p.HDTV.x264-mSD.mkv

Size: 346724350 bytes (330.66 MiB), duration: 00:46:02, avg.bitrate: 1004 kb/s

Audio: aac, 48000 Hz, stereo

Video: h264, yuv420p, 852x480, 25.00 fps(r) (eng)

Theorem Proving in Higher Order Logics

5 December 2010

**Theorem Proving in Higher Order Logics**

This book constitutes the refereed proceedings of the 17th International Conference on Theorem Proving in Higher Order Logics, TPHOLs 2004, held in Park City, Utah, USA in September 2004.The 21 revised full papers presented together with 2 invited papers were carefully reviewed and selected from 42 submissions. Among the topics addressed are theorem proving, verification, inductive types, automated deduction, mechanized proofs, mathematical logic, proof theory, type systems, computability, program verification, ACL, Cop, Isabelle/HOL, recursive functions, integration theory, machine code safety certification, and abstraction. ...

5 December 2010

2005 | 337 | ISBN: 3540230173 | PDF | 4 Mb

This book constitutes the refereed proceedings of the 17th International Conference on Theorem Proving in Higher Order Logics, TPHOLs 2004, held in Park City, Utah, USA in September 2004.The 21 revised full papers presented together with 2 invited papers were carefully reviewed and selected from 42 submissions. Among the topics addressed are theorem proving, verification, inductive types, automated deduction, mechanized proofs, mathematical logic, proof theory, type systems, computability, program verification, ACL, Cop, Isabelle/HOL, recursive functions, integration theory, machine code safety certification, and abstraction. ...

Normalization, Cut-Elimination, and the Theory of Proofs

3 August 2011

**Normalization, Cut-Elimination, and the Theory of Proofs**

Gentzen's cut-elimination theorem is widely used as a tool for meta-mathematical investigations. It is sometimes claimed however that the theorem and its proof have interest which is independent of these applications and derives from the information they supply about the structure of proofs in general. Ungar investigates this claim in the context of first order logic. Ungar gives an account of Gentzen's theorem for various formalisms and discusses the difficulties involved in treating these different versions uniformly, as instances of a single theorem which is not tied to a particular system of rules. By extending the theorem to a natural deduction calculus whose derivations are allowed to have more than one conclusion, Ungar argues that the different versions of the theorem are more or less natural specializations of a single result whose significance can be understood in terms of the proofs represented by formal derivations. A concluding discussion focuses on the relationship between proofs and formal derivations, and the role proofs may play as part of a general theory of evidence. ...

3 August 2011

1992 | 236 | ISBN: 0937073830 | DJVU | 3 Mb

Gentzen's cut-elimination theorem is widely used as a tool for meta-mathematical investigations. It is sometimes claimed however that the theorem and its proof have interest which is independent of these applications and derives from the information they supply about the structure of proofs in general. Ungar investigates this claim in the context of first order logic. Ungar gives an account of Gentzen's theorem for various formalisms and discusses the difficulties involved in treating these different versions uniformly, as instances of a single theorem which is not tied to a particular system of rules. By extending the theorem to a natural deduction calculus whose derivations are allowed to have more than one conclusion, Ungar argues that the different versions of the theorem are more or less natural specializations of a single result whose significance can be understood in terms of the proofs represented by formal derivations. A concluding discussion focuses on the relationship between proofs and formal derivations, and the role proofs may play as part of a general theory of evidence. ...

From Logic Design to Logic Programming: Theorem Proving Techniques and P-Functions

16 August 2011

**From Logic Design to Logic Programming: Theorem Proving Techniques and P-Functions**

0387182179This work demonstrates that theorem-proving methods can lead to program synthesis and algorithm implementation by using pairs of logic laws: a deductive law for proving the theorem and a constructive law for synthesizing the program or algorithm. A systematic examination of deductive laws and of constructive laws is presented. The set of all possible pairs of laws provides us with a tool for classifying the different approaches for materializing algorithms (such as hardware, microprogramming, algorithmic programming, declarative programming, deductive approach for recursive routines). ...

16 August 2011

1987 | 134 | ISBN: 3540182179 | DJVU | 1 Mb

0387182179This work demonstrates that theorem-proving methods can lead to program synthesis and algorithm implementation by using pairs of logic laws: a deductive law for proving the theorem and a constructive law for synthesizing the program or algorithm. A systematic examination of deductive laws and of constructive laws is presented. The set of all possible pairs of laws provides us with a tool for classifying the different approaches for materializing algorithms (such as hardware, microprogramming, algorithmic programming, declarative programming, deductive approach for recursive routines). ...

Banach Algebras

16 August 2011

**Banach Algebras**

Banach algebras are Banach spaces equipped with a continuous binary operation of multiplication. Numerous spaces considered in functional analysis are also algebras, e.g. the space C(0, 1) with pointwise multiplication of functions, or the space ?? with convolution multiplication of sequences. Theorems of the general theory of Banach algebras, applied to those spaces, yield several classical results of analysis, e.g. the Wiener theorem and the Wiener-Levy theorem on trigonometric series, or theorems on the spectral theory of operators. The foundations of the theory of Banach algebras are due to Gelfand. It was his astonishingly simple proof of the Wiener theorem that first turned the attention of mathematicians to the new theory. Certain specific algebras had been studied before, e.g. algebras of endomorphisms of Banach spaces, or weak-closed subalgebras of the algebra of endomorphisms of Hubert spaces (the so-called von Neumann algebras or Wx algebras); also certain particular results had been obtained earlier. But the first theorem of the general theory of Banach algebras was the theorem on the three possible forms of normal fields, announced by Mazur in 1938. This result, now known as the Gelfand-Mazur theorem, is the starting point of Gelfand's entire theory of Banach algebras. We give Mazur's original proof in this book; it is its first publication. ...

16 August 2011

1973 | 194 | ISBN: 0444409912 | DJVU | 2 Mb

Banach algebras are Banach spaces equipped with a continuous binary operation of multiplication. Numerous spaces considered in functional analysis are also algebras, e.g. the space C(0, 1) with pointwise multiplication of functions, or the space ?? with convolution multiplication of sequences. Theorems of the general theory of Banach algebras, applied to those spaces, yield several classical results of analysis, e.g. the Wiener theorem and the Wiener-Levy theorem on trigonometric series, or theorems on the spectral theory of operators. The foundations of the theory of Banach algebras are due to Gelfand. It was his astonishingly simple proof of the Wiener theorem that first turned the attention of mathematicians to the new theory. Certain specific algebras had been studied before, e.g. algebras of endomorphisms of Banach spaces, or weak-closed subalgebras of the algebra of endomorphisms of Hubert spaces (the so-called von Neumann algebras or Wx algebras); also certain particular results had been obtained earlier. But the first theorem of the general theory of Banach algebras was the theorem on the three possible forms of normal fields, announced by Mazur in 1938. This result, now known as the Gelfand-Mazur theorem, is the starting point of Gelfand's entire theory of Banach algebras. We give Mazur's original proof in this book; it is its first publication. ...

Dr. Nicholas Romanov's Pose Method of Running DVD [AVI]

23 September 2013

**Dr. Nicholas Romanov's Pose Method of Running DVD [AVI]**

English | Size: 690.48 MB

*Category: Health / Fitness / Massage*

The popular video that is revolutionizing the sport of running is now available on DVD! Join the ranks of the thousands of athletes around the world who have made Dr. Romanov?s Pose Method® the foundation of their training regimens! "The Pose Method® is a simple and comprehensive method which eliminates injuries and enables every runner from novice to elite to fully utilize their physiological potential." Graham Fletcher, British Triathlon National Team Coach Dr. Nicholas Romanov, the Russian sport science professor and British National Triathlon team coach, teaches you how to run easier, faster, safer with his pioneering Pose Method® of Running. Pose Method® will show you how to run efficiently and save energy, how to run faster following natural biomechanic patterns of movement, and how to run injury free with this new incredibly, simple technique. An hour long educational lesson which has a complete theory presentation with computer animation, real-life footage from the camps all over the country, both with professionals and novices, and more than half an hour of specific Pose Method® drills and exercises. The exercises take you through the method step by step . Whether you run to win, stay in shape or to relieve stress, this dvd is for you! Regardless of the level at which you run, the Pose Method® will help you. Used by pro athletes, it is invaluable to any runner, from recreational to amateur, from the sprinter to the marathoner. An average runner can expect after studying the Pose Method: Radically improved form Increased speed Better endurance Less injuries Increased flexibility Faster recovery time

23 September 2013

English | Size: 690.48 MB

The popular video that is revolutionizing the sport of running is now available on DVD! Join the ranks of the thousands of athletes around the world who have made Dr. Romanov?s Pose Method® the foundation of their training regimens! "The Pose Method® is a simple and comprehensive method which eliminates injuries and enables every runner from novice to elite to fully utilize their physiological potential." Graham Fletcher, British Triathlon National Team Coach Dr. Nicholas Romanov, the Russian sport science professor and British National Triathlon team coach, teaches you how to run easier, faster, safer with his pioneering Pose Method® of Running. Pose Method® will show you how to run efficiently and save energy, how to run faster following natural biomechanic patterns of movement, and how to run injury free with this new incredibly, simple technique. An hour long educational lesson which has a complete theory presentation with computer animation, real-life footage from the camps all over the country, both with professionals and novices, and more than half an hour of specific Pose Method® drills and exercises. The exercises take you through the method step by step . Whether you run to win, stay in shape or to relieve stress, this dvd is for you! Regardless of the level at which you run, the Pose Method® will help you. Used by pro athletes, it is invaluable to any runner, from recreational to amateur, from the sprinter to the marathoner. An average runner can expect after studying the Pose Method: Radically improved form Increased speed Better endurance Less injuries Increased flexibility Faster recovery time

Introduction To Number Theory

22 May 2010

**Introduction to Number Theory **

Publisher: Springer | pages: 572 | 1982 | ISBN: 0387108181 | PDF | 23,8 mb

In the original edition I collected various recent results in number theory and put them in a text book suitable for teaching purposes. The book contains: The elementary proof of the prime number theorem due to Selberg and Erdos; Roth's theorem; A. O. Gelfond's solution to Hilbert's seventh problem; Siegel's theorem on the class number of binary quadratic forms; Linnik's proof of the Hilbert-Waring theorem; Selberg's sieve method and Schnirelman's theorem on the Goldbach problem; Vinogradov's result concerning least quadratic non-residues.

22 May 2010

Publisher: Springer | pages: 572 | 1982 | ISBN: 0387108181 | PDF | 23,8 mb

In the original edition I collected various recent results in number theory and put them in a text book suitable for teaching purposes. The book contains: The elementary proof of the prime number theorem due to Selberg and Erdos; Roth's theorem; A. O. Gelfond's solution to Hilbert's seventh problem; Siegel's theorem on the class number of binary quadratic forms; Linnik's proof of the Hilbert-Waring theorem; Selberg's sieve method and Schnirelman's theorem on the Goldbach problem; Vinogradov's result concerning least quadratic non-residues.