binarylambda.blogspot.com

Binary Lambda

Monday, March 11, 2013. A few days ago, partly inspired by Dave Keenan. S To Dissect a Mockingbird: A Graphical Notation for the Lambda Calculus with Animated Reduction. I discovered an interesting way to denote lambda terms. The following table shows diagrams of identity, the booleans, the standard combinators, some Church numerals, and Omega. Lambda;x.λy.x. Lambda;x.λy.y. Lambda;x.λy.λz.(x z)(y z). Lambda;f.(λx.x x)(λx.f(x x). Lambda;f.λx.f(f x). Lambda;f.λx.f(f(f x). In terms of pixels, a diagram's wi...

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Binary Lambda | binarylambda.blogspot.com Reviews

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Monday, March 11, 2013. A few days ago, partly inspired by Dave Keenan. S To Dissect a Mockingbird: A Graphical Notation for the Lambda Calculus with Animated Reduction. I discovered an interesting way to denote lambda terms. The following table shows diagrams of identity, the booleans, the standard combinators, some Church numerals, and Omega. Lambda;x.λy.x. Lambda;x.λy.y. Lambda;x.λy.λz.(x z)(y z). Lambda;f.(λx.x x)(λx.f(x x). Lambda;f.λx.f(f x). Lambda;f.λx.f(f(f x). In terms of pixels, a diagram's wi...

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2 lambda diagrams

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4 definition

5 diagram

6 alternative

7 lambda;x x

8 k/true

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Binary Lambda | binarylambda.blogspot.com Reviews

https://binarylambda.blogspot.com

Monday, March 11, 2013. A few days ago, partly inspired by Dave Keenan. S To Dissect a Mockingbird: A Graphical Notation for the Lambda Calculus with Animated Reduction. I discovered an interesting way to denote lambda terms. The following table shows diagrams of identity, the booleans, the standard combinators, some Church numerals, and Omega. Lambda;x.λy.x. Lambda;x.λy.y. Lambda;x.λy.λz.(x z)(y z). Lambda;f.(λx.x x)(λx.f(x x). Lambda;f.λx.f(f x). Lambda;f.λx.f(f(f x). In terms of pixels, a diagram's wi...

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binarylambda.blogspot.com

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Binary Lambda: March 2013

http://www.binarylambda.blogspot.com/2013_03_01_archive.html

Monday, March 11, 2013. A few days ago, partly inspired by Dave Keenan. S To Dissect a Mockingbird: A Graphical Notation for the Lambda Calculus with Animated Reduction. I discovered an interesting way to denote lambda terms. The following table shows diagrams of identity, the booleans, the standard combinators, some Church numerals, and Omega. Lambda;x.λy.x. Lambda;x.λy.y. Lambda;x.λy.λz.(x z)(y z). Lambda;f.(λx.x x)(λx.f(x x). Lambda;f.λx.f(f x). Lambda;f.λx.f(f(f x). In terms of pixels, a diagram's wi...

2

Binary Lambda: March 2012

http://www.binarylambda.blogspot.com/2012_03_01_archive.html

Wednesday, March 7, 2012. This literatare Haskell program demonstrates how Higher Order Abstract Syntax (HOAS). Allows for very simple step-wise evaluation in the untyped lambda calculus. Import Text.PrettyPrint.HughesPJ(Doc, renderStyle, style, text, , , parens). Import Data.Maybe(Maybe,fromJust). A term is either an abstraction, represented by a Haskell function binding a variable identifier,. An application, or a bound variable identifier. Data HOAS = Lam (HOAS - HOAS) App HOAS HOAS Var Char. Step (...

3

Binary Lambda: HOAS evaluation

http://www.binarylambda.blogspot.com/2012/03/this-post-is-literate-haskell-file.html

Wednesday, March 7, 2012. This literatare Haskell program demonstrates how Higher Order Abstract Syntax (HOAS). Allows for very simple step-wise evaluation in the untyped lambda calculus. Import Text.PrettyPrint.HughesPJ(Doc, renderStyle, style, text, , , parens). Import Data.Maybe(Maybe,fromJust). A term is either an abstraction, represented by a Haskell function binding a variable identifier,. An application, or a bound variable identifier. Data HOAS = Lam (HOAS - HOAS) App HOAS HOAS Var Char. Step (...

4

Binary Lambda

http://www.binarylambda.blogspot.com/2013/03/lambda-diagrams-lambda-diagrams-few.html

Monday, March 11, 2013. A few days ago, partly inspired by Dave Keenan. S To Dissect a Mockingbird: A Graphical Notation for the Lambda Calculus with Animated Reduction. I discovered an interesting way to denote lambda terms. The following table shows diagrams of identity, the booleans, the standard combinators, some Church numerals, and Omega. Lambda;x.λy.x. Lambda;x.λy.y. Lambda;x.λy.λz.(x z)(y z). Lambda;f.(λx.x x)(λx.f(x x). Lambda;f.λx.f(f x). Lambda;f.λx.f(f(f x). In terms of pixels, a diagram's wi...

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binarylambda.blogspot.com

Binary Lambda

Monday, March 11, 2013. A few days ago, partly inspired by Dave Keenan. S To Dissect a Mockingbird: A Graphical Notation for the Lambda Calculus with Animated Reduction. I discovered an interesting way to denote lambda terms. The following table shows diagrams of identity, the booleans, the standard combinators, some Church numerals, and Omega. Lambda;x.λy.x. Lambda;x.λy.y. Lambda;x.λy.λz.(x z)(y z). Lambda;f.(λx.x x)(λx.f(x x). Lambda;f.λx.f(f x). Lambda;f.λx.f(f(f x). In terms of pixels, a diagram's wi...

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