Re: Must have SINGLE input/Arg.
"'John Nilsson' [email protected] [concatenative]" <[email protected]> Mon, 11 Aug 2014 12:17:13 -0700 (PDT)
| Newsgroups | gmane.comp.lang.concatenative |
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| Message-ID | <1407784632881.6f9912f9@Nodemailer> |
------Nodemailer-0.5.0-?=_1-1407784633125 Content-Type: text/plain; charset=utf-8 Content-Transfer-Encoding: quoted-printable One problem with currying is that it makes (A,B) -> C !=3D A -> B -> C !=3D= B -> A -> C When in practice they should all be equal. My thinking is that this could be addressed by just making them equal so th= at (D -> B)=C2=A0(A,B -> C) =3D (A,D -> C) Now this gets a little problematic if we have (A,A -> A) So I suggest that we add bindings to the type and se argument lists not as = ordered tuples, but more like first class environments. Thus the type above would be (x::A,y::A -> z::A) and composition would work= as the ABCD case above. To allow composition with arbitrary name we can add a rename type so that (x:a)=C2=A0(x::A,y::A -> z::A) =3D=C2=A0(a::A,y::A -> z::A) This would also mean that it is an environment with bindings that gets thre= aded through the program, and not a stack. BR, John =E2=80=94 Sent from Mailbox On Mon, Aug 11, 2014 at 6:07 PM, chris glur [email protected] [concatenative] <[email protected]> wrote: > The 'impedance mismatch' [who introduced that term for > non-ElectricalEngineers?] problem of different numbers of > inputs & outputs of functions, is apparently the motivation > for the idea of passing a SINGLE stack. > And the ideas of 'currying'. > IMO, what matters, is reducing the human mental load. > Hiding N mental-chunks, by wrapping them in a stack > is fraudulent. > Yes, point-free is great. Everything 'popping-out' is just "it". > take it | wash it | cook it| eat it > Without even thinking about the theoretical aspects of > impedance mismatch when multiple input-args are needed, > it was obvious that the following 'schematic' does it: > -> set Arg2 > -> set Arg3 > Arg1-> DoA -> DoB(A,Arg2) -> DoC(B,Arg3) -> FinalResult. > So you set the extra Args, before the main composition starts, > and the relevant functions know where to get their extra args. > Sure, it's not as neat looking, but the mental-load is less > than wrapping multiple args, to look like 'unary'. > =3D=3D Chris Glur. ------Nodemailer-0.5.0-?=_1-1407784633125 Content-Type: text/html; charset=UTF-8 Content-Transfer-Encoding: quoted-printable <!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01//EN" "http://www.w3.org/TR/htm= l4/strict.dtd"> <html> <head> </head> =20 <body style=3D"background-color: #fff;"> <span style=3D"display:none"> </span> <!--~-|**|PrettyHtmlStartT|**|-~--> <div id=3D"ygrp-mlmsg" style=3D"position:relative;"> <div id=3D"ygrp-msg" style=3D"z-index: 1;"> <!--~-|**|PrettyHtmlEndT|**|-~--> <div id=3D"ygrp-text" > =20=20=20=20=20=20 =20=20=20=20=20=20 <p> <span id=3D"mailbox-conversation">One problem with currying is that it make= s (A,B) -> C !=3D A -> B -> C !=3D B -> A -> C<div><br></div= > <div>When in practice they should all be equal.</div> <div><br></div> <div>My thinking is that this could be addressed by just making them equal = so that</div> <div><br></div> <div>(<span>D -> B)=C2=A0</span><span>(A,B -> C) =3D (A,D -> C)</s= pan> </div> <div><br></div> <div>Now this gets a little problematic if we have (A,A -> A)</div> <div><br></div> <div>So I suggest that we add bindings to the type and se argument lists no= t as ordered tuples, but more like first class environments.</div> <div><br></div> <div>Thus the type above would be (x::A,<span>y::A -> z::A) and composit= ion would work as the ABCD case above.</span> </div> <div><span><br></span></div> <div><span>To allow composition with arbitrary name we can add a rename typ= e so that</span></div> <div><span><br></span></div> <div> <span>(x:a)=C2=A0</span><span>(x::A,y::A -> z::A) =3D=C2=A0</span><span>= (a::A,y::A -> z::A)</span> </div> <div><span><br></span></div> <div><span>This would also mean that it is an environment with bindings tha= t gets threaded through the program, and not a stack.</span></div> <div><span><br></span></div> <div><span>BR,</span></div> <div><span>John</span></div></span><div class=3D"mailbox_signature">=E2=80= =94<br>Sent from <a href=3D"https://www.dropbox.com/mailbox">Mailbox</a> </div> <br><br><div class=3D"gmail_quote"><p>On Mon, Aug 11, 2014 at 6:07 PM, chri= s glur [email protected] [concatenative] <span dir=3D"ltr"><<a href=3D"ma= ilto:[email protected]" target=3D"_blank">concatenative@yahoogr= oups.com</a>></span> wrote:<br></p><blockquote class=3D"gmail_quote" sty= le=3D"border-left:1px #ccc solid;"> <span>=C2=A0</span><div id=3D"ygrp-mlmsg"> <div id=3D"ygrp-msg"> <div id=3D"ygrp-text"> =20=20=20=20=20=20 =20=20=20=20=20=20 <p>The 'impedance mismatch' [who introduced that term for<br> non-ElectricalEngineers?] problem of different numbers of<br> inputs & outputs of functions, is apparently the motivation<br> for the idea of passing a SINGLE stack.<br> And the ideas of 'currying'.<br> IMO, what matters, is reducing the human mental load.<br> Hiding N mental-chunks, by wrapping them in a stack<br> is fraudulent.<br> Yes, point-free is great. Everything 'popping-out' is just "it".<br> take it | wash it | cook it| eat it<br> Without even thinking about the theoretical aspects of<br> impedance mismatch when multiple input-args are needed,<br> it was obvious that the following 'schematic' does it:<br> -> set Arg2<br> -> set Arg3<br> Arg1-> DoA -> DoB(A,Arg2) -> DoC(B,Arg3) -> FinalResult.<br> So you set the extra Args, before the main composition starts,<br> and the relevant functions know where to get their extra args.<br><br> Sure, it's not as neat looking, but the mental-load is less<br> than wrapping multiple args, to look like 'unary'.<br><br> =3D=3D Chris Glur.<br></p> </div> =20=20=20=20=20 =20=20=20=20 <div style=3D"color: #fff;height: 0;"></div> </div></div></blockquote></div><br></p> </div> =20=20=20=20=20 <!--~-|**|PrettyHtmlStart|**|-~--> <div style=3D"color: #fff; height: 0;">__._,_.___</div> =20=20=20=20=20=20=20=20=20=20 =20=20 =20 =20=20=20=20 <div style=3D"clear:both"> </div> <div id=3D"fromDMARC" style=3D"margin-top: 10px;"> <hr style=3D"height:2px ; border-width:0; color:#E3E3E3; background= -color:#E3E3E3;"> Posted by: "John Nilsson" <[email protected]> = <hr style=3D"height:2px ; border-width:0; color:#E3E3E3; background-color:#= E3E3E3;"> </div> <div style=3D"clear:both"> </div> <table cellspacing=3D4px style=3D"margin-top: 10px; margin-bottom: 10px= ; color: #2D50FD;"> <tbody> <tr> <td style=3D"font-size: 12px; font-family: arial; font-weight: bo= ld; padding: 7px 5px 5px;" > <a style=3D"text-decoration: none; color: #2D50FD= " href=3D"https://groups.yahoo.com/neo/groups/concatenative/conversations/m= essages/5009;_ylc=3DX3oDMTJwdjdyYzVpBF9TAzk3MzU5NzE0BGdycElkAzE4MzkyNzQEZ3J= wc3BJZAMxNzA1MDA2NzY0BG1zZ0lkAzUwMDkEc2VjA2Z0cgRzbGsDcnBseQRzdGltZQMxNDA3Nz= g0NjM0?act=3Dreply&messageNum=3D5009">Reply via web post</a> </td> <td>•</td> <td style=3D"font-size: 12px; font-family: arial; padding: 7px 5p= x 5px;" > <a href=3D"mailto:[email protected]?subject=3DRe%3A%20%5Bstack%5D= %20Must%20have%20SINGLE%20input%2FArg%2E" style=3D"text-decoration: none; c= olor: #2D50FD;"> Reply to sender </a> </td> <td>•</td> <td style=3D"font-size: 12px; font-family: arial; padding: 7px 5p= x 5px;"> <a href=3D"mailto:[email protected]?subject=3DRe%3A= %20%5Bstack%5D%20Must%20have%20SINGLE%20input%2FArg%2E" style=3D"text-decor= ation: none; color: #2D50FD"> Reply to group </a> </td> <td>•</td> <td style=3D"font-size: 12px; font-family: arial; padding: 7px 5p= x 5px;" > <a href=3D"https://groups.yahoo.com/neo/groups/concatenative/co= nversations/newtopic;_ylc=3DX3oDMTJlajNlbDVhBF9TAzk3MzU5NzE0BGdycElkAzE4Mzk= yNzQEZ3Jwc3BJZAMxNzA1MDA2NzY0BHNlYwNmdHIEc2xrA250cGMEc3RpbWUDMTQwNzc4NDYzNA= --" style=3D"text-decoration: none; color: #2D50FD">Start a New Topic</a> </td> <td>•</td> <td style=3D"font-size: 12px; font-family: arial; padding: 7px 5p= x 5px;color: #2D50FD;" > <a href=3D"https://groups.yahoo.com/neo/groups/= concatenative/conversations/topics/5008;_ylc=3DX3oDMTM0N3Jldm5lBF9TAzk3MzU5= NzE0BGdycElkAzE4MzkyNzQEZ3Jwc3BJZAMxNzA1MDA2NzY0BG1zZ0lkAzUwMDkEc2VjA2Z0cgR= zbGsDdnRwYwRzdGltZQMxNDA3Nzg0NjM0BHRwY0lkAzUwMDg-" style=3D"text-decoration= : none; color: #2D50FD;">Messages in this topic</a> (2) </td> </tr> </tbody> </table> =20=20=20=20=20=20=20=20 <!------- Start Nav Bar ------> =20 <!-- |**|begin egp html banner|**| --> <div id=3D"ygrp-vital" style=3D"background-color: #f2f2f2; font-family: Ver= dana; font-size: 10px; margin-bottom: 10px; padding: 10px;"> <span id=3D"vithd" style=3D"font-weight: bold; color: #333; text-transf= orm: uppercase; "><a href=3D"https://groups.yahoo.com/neo/groups/concatenat= ive/info;_ylc=3DX3oDMTJlYWpnODBqBF9TAzk3MzU5NzE0BGdycElkAzE4MzkyNzQEZ3Jwc3B= JZAMxNzA1MDA2NzY0BHNlYwN2dGwEc2xrA3ZnaHAEc3RpbWUDMTQwNzc4NDYzNA--" style=3D= "text-decoration: none;">Visit Your Group</a></span> <ul style=3D"list-style-type: none; margin: 0; padding: 0; display: in= line;"> </ul> </div> <div id=3D"ft" style=3D"font-family: Arial; font-size: 11px; margin-top: 5p= x; padding: 0 2px 0 0; clear: both;"> <a href=3D"https://groups.yahoo.com/neo;_ylc=3DX3oDMTJkYWh2YmVqBF9TAzk3ND= c2NTkwBGdycElkAzE4MzkyNzQEZ3Jwc3BJZAMxNzA1MDA2NzY0BHNlYwNmdHIEc2xrA2dmcARzd= GltZQMxNDA3Nzg0NjM0" style=3D"float: left;"><img src=3D"http://l.yimg.com/r= u/static/images/yg/img/email/new_logo/logo-groups-137x15.png" height=3D"15"= width=3D"137" alt=3D"Yahoo! 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