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Mail-from: From strang@HEISENBERG.MIT.EDU  Tue Oct 20 16:43:52 1998
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From: Ricardo J Torres <strang@MIT.EDU>
Message-Id: <199810210043.UAA12169@HEISENBERG.MIT.EDU>
To: 6044-forum@MIT.EDU
Cc: strang@MIT.EDU
Subject: Instruction Set for register machine
Date: Tue, 20 Oct 1998 20:43:52 EDT

*** EOOH ***
From: Ricardo J Torres <strang@MIT.EDU>
To: 6044-forum@MIT.EDU
Cc: strang@MIT.EDU
Subject: Instruction Set for register machine
Date: Tue, 20 Oct 1998 20:43:52 EDT


I'm fairly certain we need to add a SET0 (MEM(0) <- 0) instruction to
my instruction set. The reason is that with the current instruction
set we can't set the contents of register 0 to an abitrary number
without doing a branch. The reason the current system doesn't work is
because currently setting register 0 to 0 requires a branch on 0
operation. Branch on 0 has no address arguments, it requires the
target branch location (if register 0 == 0) to be in register 1. In
order to be able to set the target address in register 1 you have to
set it in register 0 (and then use a copy0to1). This requires setting
register 0 to 0, and then incrementing register 0 to the target
address. This is circular, as setting register 0 to 0 is the reason we
are branching in the first place. A SET0 instruction fixes this (and I
think makes things meet the specs). I would imagine a SET0 operation
would be very economical, I am however sorry I didn't see this in
class.

Ricardo


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Mail-from: From meyer@lcs.mit.edu Tue Oct 27 23:41:02 1998
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From: "Albert R. Meyer" <meyer@lcs.mit.edu>
To: <6044-forum@theory.lcs.mit.edu>
Subject: Assignment and BNF on web
Date: Tue, 27 Oct 1998 23:40:48 -0500
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*** EOOH ***
From: "Albert R. Meyer" <meyer@lcs.mit.edu>
To: <6044-forum@theory.lcs.mit.edu>
Subject: Assignment and BNF on web
Date: Tue, 27 Oct 1998 23:40:48 -0500
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Take a look at the course web page: 

http://theory.lcs.mit.edu/classes/6.044/

it has the assignment due Monday and some fresh notes on Scheme grammar.

Regards, A.



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Date: Tue, 27 Oct 98 23:44:23 EST
Message-Id: <199810280444.AA08766@stork.lcs.mit.edu>
From: "Albert R. Meyer" <meyer@theory.lcs.mit.edu>
To: 6044-forum@theory.lcs.mit.edu
Subject: test

*** EOOH ***
Date: Tue, 27 Oct 98 23:44:23 EST
From: "Albert R. Meyer" <meyer@theory.lcs.mit.edu>
To: 6044-forum@theory.lcs.mit.edu
Subject: test

ignore this


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Mail-from: From pnkfelix@MIT.EDU  Tue Oct 27 22:13:12 1998
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To: "Albert R. Meyer" <meyer@theory.lcs.mit.edu>
Cc: 6044-forum@theory.lcs.mit.edu
Subject: Re: test 
In-Reply-To: Your message of "Tue, 27 Oct 1998 23:44:23 EST."
             <199810280444.AA08766@stork.lcs.mit.edu> 
Date: Wed, 28 Oct 1998 03:13:12 EST
From: Felix S Klock <pnkfelix@MIT.EDU>

*** EOOH ***
To: "Albert R. Meyer" <meyer@theory.lcs.mit.edu>
Cc: 6044-forum@theory.lcs.mit.edu
Subject: Re: test 
In-Reply-To: Your message of "Tue, 27 Oct 1998 23:44:23 EST."
             <199810280444.AA08766@stork.lcs.mit.edu> 
Date: Wed, 28 Oct 1998 03:13:12 EST
From: Felix S Klock <pnkfelix@MIT.EDU>

Prof. Meyer et. all-

I was looking over R5RS in preperation to do some hacking on this
problem set and noted that it defined 

(begin <expr1> <expr2> ... <exprN> ) 

as a library syntax; IE something that can be defined in terms of the
other functions.  In lecture you said that begin was one of the
necessary parts of our kernel.  After giving it some thought I came to
this possible desugaring of begin in terms of lambda:

(begin <expr1> <expr2> <expr3>)

=>

((lambda (x) ((lambda (x) <expr3>) <expr2>)) <expr1>)

Since arguments to a lambda expression are evaluated before the lambda
body is evaluated, doesn't this ensure that expressions 1 through 3
will be applied in the correct sequence?  And since the argument to
each lambda expression isn't used in the body of the lambda, that
ensures that the value of the expression as a whole is guaranteed to
be the value of evaluating the inner most expression in the global
environment (which could have been altered by the preceding
evaluations of expressions 1 through 2?)

A more general form for this desugaring would be

(begin <expr1> <expr2> ... <exprN>)

((lambda (x) 
   ((lambda (x)
      ((lambda (x) ; ... N-1 of these "((lambda (x)"
	 ((lambda (x)
	    ((lambda (x)
	       ((lambda (x) 
		  <exprN>) 
		<exprN-1>))
	     <exprN-2>))
	  <exprN-3>))
       ; ... expression N-1 through 2 in series with "))" appended
       <expr3>))
    <expr2>))
 <expr1>)


However, I am also aware that R5RS defines the body of a lambda
expression to be able to take multiple expressions, so they could have
just meant that (begin <expr1> <expr2> <expr3>) desugars to 

((lambda () <expr1> <expr2> <expr3>)) 

Please let me know if the above desugaring for kernel-scheme is
invalid.  I think the general form I listed may fail on single
expression begins

(begin <expr1>)

But perhaps someone else can think of a clever way to express the
desugaring macro that doesn't have a problem with the single expr.  (I
also could be wrong about it failing...since I didn't define the macro
very formally, its hard to tell how it will handle that case)

Just thought it might be a interesting way to make your kernel-scheme
even smaller.  Also I noted that R5RS says that letrec is also a
library syntax.  I couldn't figure out how the writers of R5RS thought
it could be desugared though.

-Felix


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Mail-from: From meyer@theory.lcs.mit.edu  Wed Oct 28 06:25:08 1998
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Date: Wed, 28 Oct 98 11:25:08 EST
Message-Id: <199810281625.AA08963@stork.lcs.mit.edu>
From: "Albert R. Meyer" <meyer@theory.lcs.mit.edu>
To: pnkfelix@MIT.EDU
Cc: 6044-forum
In-Reply-To: <199810280813.DAA22954@mint-square.mit.edu> (message from Felix S
	Klock on Wed, 28 Oct 1998 03:13:12 EST)
Subject: Re: test
Reply-To: 6044-lecturer@theory.lcs.mit.edu

*** EOOH ***
Date: Wed, 28 Oct 98 11:25:08 EST
From: "Albert R. Meyer" <meyer@theory.lcs.mit.edu>
To: pnkfelix@MIT.EDU
Cc: 6044-forum
In-Reply-To: <199810280813.DAA22954@mint-square.mit.edu> (message from Felix S
	Klock on Wed, 28 Oct 1998 03:13:12 EST)
Subject: Re: test
Reply-To: 6044-lecturer@theory.lcs.mit.edu

Yes, our "kernel" is not minimal.  In designing a "substitution model," I
wanted a user to be able to watch her code as it ran.  If I desugared too
much, the running code would look really alien, so I chose a modest, but
not minimal kernel.

BTW, your desugaring of BEGIN looks about right, except for the problem
that you put expressions in the scope of a LAMBDA (X) which can cause
trouble if they have a free X.  Here's the general desugaring which
avboids this problem:

(make-simple-rule '(begin ?expr) '?expr)
(make-simple-rule
 '(begin ?expr1 ?expr2 ~exprs)
 '(let ((v1 ?expr1)) (begin ?expr2 ~exprs)))

Remember that LET can be treated as sugar:

(make-general-rule
 '(let (~binds) ?expr)
  (lambda (binds expr)
    `((lambda (,(variables-of-binds binds)) ,expr)
      ,@(expressions-of-binds binds))))

BTW, desugaring (BEGIN ~stuff) into LAMDBA () ~STUFF) just postpones the
problem, since lam-exps with bodies consisting of a sequence of exprs, as
opposed to a single expr are not in the kernel and would have to be
desugared.

Regards, A. 


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*** EOOH ***
Mail-from: From meyer@theory.lcs.mit.edu  Wed Oct 28 06:31:16 1998
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Date: Wed, 28 Oct 98 11:31:16 EST
Message-Id: <199810281631.AA08985@stork.lcs.mit.edu>
From: "Albert R. Meyer" <meyer@theory.lcs.mit.edu>
To: 6044-forum@theory.lcs.mit.edu
In-Reply-To: <199810281625.AA08963@stork.lcs.mit.edu>
	(meyer@theory.lcs.mit.edu)
Subject: desugaring BEGIN: correction

CORRECTION:

   (make-simple-rule '(begin ?expr) '?expr)
   (make-simple-rule
    '(begin ?expr1 ?expr2 ~exprs)
    '(let ((v1 ?expr1) (v2 (lambda () (begin ?expr2 ~exprs)))
         (v2))))

(My earlier version put EXPR2 and ~EXPRS in the scope of V1, which can
cause problems if they have a free occurrence of V1.)

Regards, A.


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*** EOOH ***
Mail-from: From strang@HEISENBERG.MIT.EDU  Thu Oct 29 18:09:27 1998
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From: Ricardo J Torres <strang@MIT.EDU>
Message-Id: <199810300409.XAA09257@HEISENBERG.MIT.EDU>
To: 6044-forum@MIT.EDU
Subject: zephyr instance
Date: Thu, 29 Oct 1998 23:09:27 EST


If people are using athena for the problem set due Monday (or any
other project), they may want to try the 6.044 zephyr instance. This
would allow instantaneous feed back to others listening, since there
is no need to incorporate mail. The down side is, you have to be on
athena and and you may always feel pressured to keep up your side of
the conversation even if you are busy doing something else.

In orer to receive 6.044 zephyrs, you have to be running zwgc (most
athena setups do this by default) and be subscribed to the instance.

SUBSCRIBING:

To subscribe on athena, each time you login (or in an environment
file) type:

zctl sub message 6.044 \*

If you don't want to type it each time you login (or in an environment
file) and want to ADD it to your subscriptions until you delete it,
type: 

zctl add message 6.044 \*

To delete type 'zctl del message 6.044 \*' (I believe). Your
subscription will remain active from one athena session to the next
until you delete your subscription.


SENDING:

Now to send a a zephyr, type:
zwrite -i 6.044

type message followed by line with just a period on it as usual. If
you use any GUI zephyr tools, your mileage will vary.


ZEPHYR LOG:

THE ZEPHYRS WILL BE LOGGED to a file in the 'zlog' locker. You can get
to this from any athena machine by typing:

attach zlog

The file holding the contents of the log is /mit/zlog/6.044 and is in
plain text format.

You can also get to the logs via nfs at
'sweet-transvestite.mit.edu:/u1/zlog/6.044' 

and from machines that support nfs automount, you can normally find
this at '/net/sweet-transvestite.mit.edu//u1/zlog/6.044.'


I don't know if this will be useful, but I figured I'd give it a shot.

Ricardo


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Mail-from: From tzumainn@MIT.EDU  Sat Oct 31 16:58:02 1998
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Date: Sat, 31 Oct 1998 21:58:02 -0500
To: 6044-forum@MIT.EDU
From: Tzu-Mainn Chen <tzumainn@MIT.EDU>
Subject: Re: ps4 due friday
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*** EOOH ***
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Date: Sat, 31 Oct 1998 21:58:02 -0500
To: 6044-forum@MIT.EDU
From: Tzu-Mainn Chen <tzumainn@MIT.EDU>
Subject: Re: ps4 due friday

Hi,

Professor Meyer sent me these suggestions for the first two problems of the
problem set, and I thought that I'd pass them on. . . 

Tzu-Mainn Chen

pa>Date: Fri, 30 Oct 98 22:07:20 EST
>From: "Albert R. Meyer" <meyer@theory.lcs.mit.edu>
>To: tzumainn@MIT.EDU
>Subject: Re: ps4 due friday
>Reply-To: 6044-lecturer@theory.lcs.mit.edu
>
>Concentrate on the one-variable case.  A degree n polynomial goes to
>+-infinity at an O(x^n) rate, so its range must be denser than powers of 2
>allow.  The other, divisible-by-k, problem is solved by appealing to
>arithmetic mod k.
>
>Hope that helps (without undermining the problems entirely).
>
>Perhaps we should broadcast this to the forum.  What do you think?
>
>Regards, A.
>
>
>   X-Sender: tzumainn@po9.mit.edu
>   X-Mailer: QUALCOMM Windows Eudora Light Version 3.0.2 (32)
>   Date: Fri, 30 Oct 1998 04:07:08 -0500
>   From: Tzu-Mainn Chen <tzumainn@MIT.EDU>
>
>   Hi,
>   I've been working on the first two problems of the problem set pretty much
>   all night now, and I still can't get a grip on either of them.  I think
the
>   problem is that I don't even know how to begin to approach either problem.
>   . . are there any hints that you could give. . . ?
>
>   Tzu-Mainn Chen
>


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Mail-from: From pnkfelix@MIT.EDU  Sat Oct 31 18:01:36 1998
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To: 6044-forum@MIT.EDU
Subject: Weird...
Date: Sat, 31 Oct 1998 23:01:36 EST
From: Felix S Klock <pnkfelix@MIT.EDU>

*** EOOH ***
To: 6044-forum@MIT.EDU
Subject: Weird...
Date: Sat, 31 Oct 1998 23:01:36 EST
From: Felix S Klock <pnkfelix@MIT.EDU>


Hurm!

Using big-O-notation to indicate density of the function...WEIRD!

Never seen that method before.  This may be a trivial proof, but
certainly not elementary...


Do any of you know if this method covered in 6.042?  When I took 6.042
(fall of '97) I don't believe this method was ever covered.  But I
could be wrong.

In any case, I think that gives me enough info to figure out the first
problem, which was the real roadblock for me

Okay, enough musings from me.

-Felix




From meyer@theory.lcs.mit.edu  Wed Nov  4 11:38:29 1998
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Date: Wed, 04 Nov 98 16:38:29 EST
Message-Id: <199811042138.AA14598@stork.lcs.mit.edu>
From: "Albert R. Meyer" <meyer@theory.lcs.mit.edu>
To: 6044-forum
Subject: ps6 due Friday 11/13 is on the web
Reply-To: 6044-lecturer@theory.lcs.mit.edu

one submodel programming problem, two problems using the Submodel to
explain Scheme behavior under renaming bound variables, and one problem on
polynomial ranges.

Regards, A.

From meyer@theory.lcs.mit.edu  Thu Nov  5 09:12:02 1998
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Date: Thu, 05 Nov 98 14:12:02 EST
Message-Id: <199811051912.AA15276@stork.lcs.mit.edu>
From: "Albert R. Meyer" <meyer@theory.lcs.mit.edu>
To: 6044-forum
Subject: submodel example
Reply-To: 6044-lecturer@theory.lcs.mit.edu

I hope at this point you have a basic understanding of how the Scheme
submodel works.  Below is a sample series of expressions and definitions
WHICH I WOULD EXPECT YOU TO BE ABLE TO SIMULATE BY HAND in a few minutes,
using SM.SCM as a reference.

To be sure we're all together on this, on MONDAY I will give a 20
min. IN-CLASS QUIZ asking you to simulate a similar (slightly shorter)
example.

Regards, A. 


(define (make-account balance)
  (lambda (deposit)
    (begin (set! balance (+ balance deposit))
	   balance)))

(define acct1 (make-account 10))
(acct1 0)
(define acct2 (make-account 20))
(acct2 0)

(show-submodel-environment)

From pnkfelix@MIT.EDU  Fri Nov  6 00:44:33 1998
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To: 6044-forum@MIT.EDU
Subject: SM interpreter
Date: Fri, 06 Nov 1998 05:44:33 EST
From: Felix S Klock <pnkfelix@MIT.EDU>

Prof. Meyer (et al.)-

Something in my gut is still reacting to the fact that the SM model is
allowing different procedures to be eq? (different in the sense that
they are bound to different variable, not different in the sense that
they evaluate to differing arguments given some input)...so, in an
effort to make myself more comfortable with the idea, I began doing
some research on what R5RS says on the matter, and the reasons for why
it says that...

My reading of the rrrs-authors forum (and R5RS) uncovered something
interesting...

The authors, after much debacle about eq? and what it does (see
http://www-swiss.ai.mit.edu/ftpdir/scheme-mail/HTML/rrrs-1986/threads.html
for details) seemed to settle on standardizing what scheme does using
the procedure eqv?, and leave a lot of eq? unspecified (for efficiency
in individual impementations)

Unfortunately, SM doesn't implement eqv?

Also, eq? is supposed to behave identically to eqv? when applied to
procedures.

Now, as it turns out, the behavior of eqv? on examples such as 
(eqv? (lambda (x) x) (lambda (y) y)) 
is unspecified.  Therefore in regards to its behavior on eq?, the
Sub.Model is R5RS-compliant.  So the only real job remaining is to
implement eqv? ...which may just be a matter of binding it to eq?  I'm
not sure yet...

I would like to note that in the arguments on rrrs-authors about eq?,
there was support for requiring the above example to return false.  So
I feel justified for having that feeling in my gut.

-Felix

From strang@HEISENBERG.MIT.EDU  Thu Nov 19 08:15:14 1998
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From: Ricardo J Torres <strang@MIT.EDU>
Message-Id: <199811191815.NAA12566@HEISENBERG.MIT.EDU>
To: 6044-forum@MIT.EDU
Cc: strang@MIT.EDU
Subject: Web server
Date: Thu, 19 Nov 1998 13:15:14 EST


Looks like the web server is down again.

Ricardo

From meyer@theory.lcs.mit.edu  Mon Nov 30 22:01:27 1998
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	id AA28839; Tue, 01 Dec 98 03:01:27 EST
Date: Tue, 01 Dec 98 03:01:27 EST
Message-Id: <199812010801.AA28839@stork.lcs.mit.edu>
From: "Albert R. Meyer" <meyer@theory.lcs.mit.edu>
To: 6044-forum
Subject: problem 5
Reply-To: 6044-lecturer@theory.lcs.mit.edu

Problem 5 has been added to the Handout 9 on Scheme Computability.
Problems 2,3,4,5 are due Friday.  There won't be a final exam.  We'll have
an in-class quiz next Monday; last class is the following Wed.

Regards, A.

