peano | Peano Arithmetic as given in The Incompleteness Phnomenon | Apps library

by timtadh Python Version: Current License: No License

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kandi X-RAY | peano Summary

peano is a Python library typically used in Apps applications. peano has no bugs, it has no vulnerabilities and it has low support. However peano build file is not available. You can download it from GitHub.

Peano Arithmetic is a small set of axioms which recursively define most of the truths of arithmetic. They cannot define all of the truths due to Gödel’s Incompleteness Theorem, which states no recursively axiomatized theory can settle all questions.

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Support

peano has a low active ecosystem.

It has 4 star(s) with 0 fork(s). There are 2 watchers for this library.

It had no major release in the last 6 months.

peano has no issues reported. There are no pull requests.

It has a neutral sentiment in the developer community.

The latest version of peano is current.

Quality

peano has no bugs reported.

Security

peano has no vulnerabilities reported, and its dependent libraries have no vulnerabilities reported.

License

peano does not have a standard license declared.

Check the repository for any license declaration and review the terms closely.

Without a license, all rights are reserved, and you cannot use the library in your applications.

Reuse

peano releases are not available. You will need to build from source code and install.

peano has no build file. You will be need to create the build yourself to build the component from source.

Installation instructions are not available. Examples and code snippets are available.

Top functions reviewed by kandi - BETA

kandi has reviewed peano and discovered the below as its top functions. This is intended to give you an instant insight into peano implemented functionality, and help decide if they suit your requirements.

Replace all occurrences of f
returns the value of the value
Initialize self .
Return an abbrv expression .
generate a constant
Return the representation of the object .
String representation .
An integer value .

Get all kandi verified functions for this library.

peano Key Features

No Key Features are available at this moment for peano.

peano Examples and Code Snippets

No Code Snippets are available at this moment for peano.

Community Discussions

Trending Discussions on peano

utop and printing constructors

How to ask Scala if evidence exists for all instantiations of type parameter?

Pure Prolog Peano Number Apartness

`less/2` relation in Peano arithmetic

Generate type class constraints recursively and use them in a recursive function

organazing my html and css code(images appers in the middle of the tab )

Prolog: model simple polymorphic type

Prolog peano numbers difference/subtraction

Coqtop cannot load file

How should i draw a Peano Curve?

QUESTION

utop and printing constructors

Asked 2021-Apr-22 at 20:08

When loading up code in utop (or dune utop) and printing any data constructor like Bin.Stop with #show Bin.Stop;; I get a crash.

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ANSWER

Answered 2021-Apr-22 at 20:08

Fatal errors with toplevel directives that happen in utop and not ocaml are bugs in utop.

Indeed, utop partially reimplements the driver logic of the OCaml REPL and it can happen that utop's code ends up slightly out-of-date with the underlying OCaml's compiler libraries.

Please report issues like this at: https://github.com/ocaml-community/utop/issues

Source https://stackoverflow.com/questions/67215748

QUESTION

How to ask Scala if evidence exists for all instantiations of type parameter?

Asked 2021-Apr-19 at 10:59

Given the following type-level addition function on Peano numbers

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ANSWER

Answered 2021-Apr-19 at 10:59

Here is one possible approach, which is an attempt at a literal interpretation of this paragraph:

When proving a statement E:N→U about all natural numbers, it suffices to prove it for 0 and for succ(n), assuming it holds for n, i.e., we construct ez:E(0) and es:∏(n:N)E(n)→E(succ(n)).

from the HoTT book (section 5.1).

Here is the plan of what was implemented in the code below:

Formulate what it means to have a proof for a statement that "Some property P holds for all natural numbers". Below, we will use

Source https://stackoverflow.com/questions/67093833

QUESTION

Pure Prolog Peano Number Apartness

Asked 2020-Dec-25 at 19:45

Lets assume there is pure_2 Prolog with dif/2 and pure_1 Prolog without dif/2. Can we realize Peano apartness for values, i.e. Peano numbers, without using dif/2? Thus lets assume we have Peano apartness like this in pure_2 Prolog:

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ANSWER

Answered 2020-Dec-23 at 16:48

Using less from this comment:

Source https://stackoverflow.com/questions/65427391

QUESTION

`less/2` relation in Peano arithmetic

Asked 2020-Dec-25 at 13:00

This less-than predicate in Peano arithmetic

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ANSWER

Answered 2020-Dec-24 at 19:17

You can use when/2. Making it not anymore an infinitely enumerating predicate and still keeping it 100% pure. The when/2 modifies the S (selection rule) in SLD-Resolution, an idea that can be traced back to Alain Colmerauer.

Source https://stackoverflow.com/questions/65439288

QUESTION

Generate type class constraints recursively and use them in a recursive function

Asked 2020-Dec-08 at 08:19

I am trying to define a function which gets some natural number n as input. Depending on this input the function should have different constraints. This constraints get calculate with a type family. The number has to be converted to GHC.TypeNats because the constraints are for Data.Vector.Sized. I asked a similar question here, but the answer won't work in the case of GHC.TypeNats and arbitrary n.

I tried the UNat type from Clash.

This is the relevant code from clash:

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ANSWER

Answered 2020-Dec-08 at 08:19

I solved this by adding the constraints to the construtors of the GADT Peano nat.

Source https://stackoverflow.com/questions/65146582

QUESTION

organazing my html and css code(images appers in the middle of the tab )

Asked 2020-Oct-30 at 11:56

i am beginner in html and css and when i was trying to build this web page with it (html and css) ,the images always appears in the middle of the tab and i don't know how to organize it,

stackoverflow keep saying "It looks like your post is mostly code; please add some more details" i have nothing more to say lol , so thank you in advance:)

this my html code:

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ANSWER

Answered 2020-Oct-30 at 11:55

Consider deleting

Source https://stackoverflow.com/questions/64607749

QUESTION

Prolog: model simple polymorphic type

Asked 2020-Apr-28 at 11:27

Initial post

I've been playing with swi-prolog for a several hours now and I got to dead end trying to mimic a simple polymorphic type system. So, before I have spent way to much time trying to get out, let me ask you guys a following question: Say, I have declared relation named top, that marks it`s single arg as a type.

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ANSWER

Answered 2020-Apr-27 at 20:21

Your goal call(T, TT, A, _) is trying to call nat with three arguments, but there is no nat/3 predicate. You have checks on the type's kind, but they come too late: Your arity check should come before the corresponding call. However, even then, in the second branch you're checking for a type T with arity 1, which would be list, but there is no way to call list/2 with three arguments either...

Your whole model is somewhat confused because you are trying to model everything -- both values and types -- as Prolog predicates. In fact neither should be a predicate. Not even types! It would seem like a good idea to have types as predicates, since that would allow queries like:

Source https://stackoverflow.com/questions/61447343

QUESTION

Prolog peano numbers difference/subtraction

Asked 2020-Apr-16 at 18:59

I am trying to work out calculating the difference for 'Peano numbers' (Recursive definition of natural numbers represented as s(0), s(s(0)) etc.) but I am kind of stuck with one problem.

The definition for subtraction is the following:

s(X) - 0 = s(X)
s(X) - s(s(X)) = 0
s(X) - s(X) = 0
s(s(X)) - s(X) = s(0)
0 - s(X) = 0

This is my current code:

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ANSWER

Answered 2020-Apr-16 at 17:45

sub(s(X), s(Y), X) :- sub(X,Y,X).

Source https://stackoverflow.com/questions/61256130

QUESTION

Coqtop cannot load file

Asked 2020-Mar-04 at 04:03

I'm currently working on Software Foundations – Logical Foundation.

In short, I got error Error: Cannot find a physical path bound to logical path matching suffix <> and prefix LF.

I have Coq brew installed.

I have the following files located at ~/Documents/Notes/PL/SF/LF/

_CoqProject contains single line: -Q . LF
Basics.v contains code for the first chapter
Makefile generated by command coq_makefile -f _CoqProject *.v -o Makefile

Then I make Basics.vo by make Basics.vo

Now I open coqtop, and try to run the command From LF Require Export Basics. and here is what it looks like

...

ANSWER

Answered 2020-Mar-04 at 04:03

You need to associate the current directory (.../LF) to the LF prefix:

Source https://stackoverflow.com/questions/60517237

QUESTION

How should i draw a Peano Curve?

Asked 2020-Feb-13 at 16:54

This is my code for drawing a peano curve using python turtle in Visual Studio Code. I can get level 1 just fine but other than that it does not really repeat the shape correctly for the subsequent levels. Any suggestions?

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ANSWER

Answered 2020-Feb-13 at 16:51

At its most basic, 0th level, the fractal routine needs to simply draw a straight line using forward() (aka fd()). At level 1, it should draw the basic pattern that makes up the fractal, but using the fractal routine itself to draw lines, not forward(). Every level above that does the same. We're replacing line drawing with fractal drawing:

Source https://stackoverflow.com/questions/60210993

Community Discussions, Code Snippets contain sources that include Stack Exchange Network

Vulnerabilities

No vulnerabilities reported

Install peano

You can download it from GitHub.
You can use peano like any standard Python library. You will need to make sure that you have a development environment consisting of a Python distribution including header files, a compiler, pip, and git installed. Make sure that your pip, setuptools, and wheel are up to date. When using pip it is generally recommended to install packages in a virtual environment to avoid changes to the system.

Support

For a theory to be complete it must be proven that it can decide all questions. That doesn’t mean we will have a computerized routine to decide any particular question (for instance 0 = s0) but we have the assurance that indeed it can be decided. Unfortunately, Kurt G\:{o}del showed us the previous century that if we finitely axiomitize our theory (that is only write down a finite set of potentially recursive axoims) we will never decide all questions. Although Peano Arithmetic cannot decide all questions it can decide almost every interesting question you might have. For instance it can decide whether a particular sentence is a theorem of Peano Arithmetic.

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