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Combinatory Logic by Curry%2c Haskell B. (haskell Brooks)%2c 1900

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1To H.B. Curry: Essays On Combinatory Logic, Lambda Calculus And Formalism

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  • Title: ➤  To H.B. Curry: Essays On Combinatory Logic, Lambda Calculus And Formalism
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The book is available for download in "texts" format, the size of the file-s is: 839.19 Mbs, the file-s for this book were downloaded 390 times, the file-s went public at Thu Oct 14 2021.

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2Combinatory Logic

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  • Title: Combinatory Logic
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  • Language: English

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The book is available for download in "texts" format, the size of the file-s is: 1276.11 Mbs, the file-s for this book were downloaded 69 times, the file-s went public at Thu Feb 24 2022.

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3Elements Of Combinatory Logic

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  • Title: Elements Of Combinatory Logic
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  • Language: English

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The book is available for download in "texts" format, the size of the file-s is: 528.76 Mbs, the file-s for this book were downloaded 129 times, the file-s went public at Sat Jul 20 2019.

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4On The Likelihood Of Normalisation In Combinatory Logic

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We present a quantitative basis-independent analysis of combinatory logic. Using a general argument regarding plane binary trees with labelled leaves, we generalise the results of David et al. and Bendkowski et al. to all Turing-complete combinator bases proving, inter alia, that asymptotically almost no combinator is strongly normalising nor typeable. We exploit the structure of recently discovered normal-order reduction grammars showing that for each positive $n$, the set of $\mathbf{S} \mathbf{K}$-combinators reducing in $n$ normal-order reduction steps has positive asymptotic density in the set of all combinators. Our approach is constructive, allowing us to systematically find new asymptotically significant fractions of normalising combinators. We show that the density of normalising combinators cannot be less than $34\%$, improving the previously best lower bound of approximately $3\%$. Finally, we present some super-computer experimental results, conjecturing that the density of normalising combinators is close to $85\%$.

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The book is available for download in "texts" format, the size of the file-s is: 0.28 Mbs, the file-s for this book were downloaded 21 times, the file-s went public at Fri Jun 29 2018.

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5Higher-order Illative Combinatory Logic

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We show a model construction for a system of higher-order illative combinatory logic I_\omega, thus establishing its strong consistency. We also use a variant of this construction to provide a complete embedding of first-order intuitionistic predicate logic with second-order propositional quantifiers into the system I_0 of Barendregt, Bunder and Dekkers, which gives a partial answer to a question posed by these authors.

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  • Title: ➤  Higher-order Illative Combinatory Logic
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The book is available for download in "texts" format, the size of the file-s is: 18.51 Mbs, the file-s for this book were downloaded 98 times, the file-s went public at Mon Sep 23 2013.

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6Combinatory Logic

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2 v. ; 24 cm

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The book is available for download in "texts" format, the size of the file-s is: 1371.26 Mbs, the file-s for this book were downloaded 168 times, the file-s went public at Wed Jun 19 2019.

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7Classical Combinatory Logic

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Combinatory logic shows that bound variables can be eliminated without loss of expressiveness. It has applications both in the foundations of mathematics and in the implementation of functional programming languages. The original combinatory calculus corresponds to minimal implicative logic written in a system "`a la Hilbert". We present in this paper a combinatory logic which corresponds to propositional classical logic. This system is equivalent to the system $\lambda^{Sym}_{Prop}$ of Barbanera and Berardi.

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The book is available for download in "texts" format, the size of the file-s is: 3.22 Mbs, the file-s for this book were downloaded 166 times, the file-s went public at Sat Sep 21 2013.

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8Combinatory Logic

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2 v. ; 24 cm

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  • Language: English

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The book is available for download in "texts" format, the size of the file-s is: 1192.88 Mbs, the file-s for this book were downloaded 338 times, the file-s went public at Wed Jun 19 2019.

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9OTTER Experiments In A System Of Combinatory Logic

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This paper describes some experiments involving the automated theorem-proving program OTTER in the system TRC of illative combinatory logic. We show how OTTER can be steered to find a contradiction in an inconsistent variant of TRC, and present some experimentally discovered identities in TRC.

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The book is available for download in "texts" format, the size of the file-s is: 6.10 Mbs, the file-s for this book were downloaded 101 times, the file-s went public at Sun Sep 22 2013.

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10Combinatory Logic In Programming.

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Book by V.E. Wolfengagen "Combinatory Logic in Programming. Computations with Objects Through Examples and Exercises". 2-nd ed. -- Moscow, Center JurInfoR, 2003. X+336 p. The book is intended for computer science students, programmers and professionals who have already got acquainted with the basic courses and background on discrete mathematics. It may be used as a textbook for graduate course on theoretical computer science. The book introduces a reader to the conceptual framework for thinking about computations with the objects. The several areas of theoretical computer science are covered, including the following: type free and typed lambda-calculus and combinatory logic with applications, evaluation of expressions, computations in a category. The topics, covered in the book accumulated much experience in teaching these subjects in graduate computer science courses. A rich set of examples and exercises, including solutions, has been prepared to stimulate the self studying and to make easier the job of instructor.

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The book is available for download in "texts" format, the size of the file-s is: 95.96 Mbs, the file-s for this book were downloaded 2303 times, the file-s went public at Fri Mar 06 2009.

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11To Mock A Mocking Bird And Other Logic Puzzles : Including An Amazing Adventure In Combinatory Logic

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Includes bibliographical references

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The book is available for download in "texts" format, the size of the file-s is: 679.85 Mbs, the file-s for this book were downloaded 418 times, the file-s went public at Fri Aug 30 2013.

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