META II

<h2 id="notation">Notation</h2>
META II was first written in META I,<a class="footnote-ref" id="fnref:4" href="#fn:4">4</a> a hand-compiled version of META II. The history is unclear as to whether META I was a full implementation of META II or a required subset of the META II language required to compile the full META II compiler.
In its documentation, META II is described as resembling <a href="/facts/Backus%E2%80%93Naur_form/xbMXDntc">Backus–Naur form</a> (BNF), which today is explained as a production grammar. META II is an analytical grammar. In the <a href="/facts/TREE-META/KHSWJaQ3">TREE-META</a> document, these languages were described as reductive grammars.
For example, in BNF, an arithmetic expression may be defined as:

<expr> := <term> | <expr> <addop> <term>

BNF rules are today production rules describing how constituent parts may be assembled to form only valid language constructs. A parser does the opposite taking language constructs apart. META II is a <a href="/facts/Stack-oriented_programming/RFhFMhuj">stack-based</a> <a href="/facts/Functional_programming/cdxqPEIM">functional</a> <a href="/facts/Parser/nRKB01S3">parser</a> <a href="/facts/Programming_language/cWTYbgWa">programming language</a> that includes output directive. In META II, the order of testing is specified by the equation. META II like other programming languages would overflow its stack attempting left recursion. META II uses a $ (zero or more) sequence operator. The expr parsing equation written in META II is a conditional expression evaluated left to right:

expr = term
 $( '+' term .OUT('ADD')
 / '-' term .OUT('SUB'));

Above the expr equation is defined by the expression to the right of the '='. Evaluating left to right from the '=', term is the first thing that must be tested. If term returns failure expr fails. If successful a term was recognized we then enter the indefinite $ zero or more loop were we first test for a '+' if that fails the alternative '-' is attempted and finally if a '-' were not recognized the loop terminates with expr returning success having recognized a single term. If a '+' or '-' were successful then term would be called. And if successful the loop would repeat. The expr equation can also be expressed using nested grouping as:

expr = term $(('+' / '-') term);

The code production elements were left out to simplify the example. Due to the limited character set of early computers the character / was used as the alternative, or, operator. The $, loop operator, is used to match zero or more of something:

expr = term $( '+' term .OUT('ADD')
 / '-' term .OUT('SUB') 
 );

The above can be expressed in English: An expr is a term followed by zero or more of (plus term or minus term). Schorre describes this as being an aid to efficiency, but unlike a naive <a href="/facts/Recursive_descent_parser/ARhcuAv1">recursive descent parser</a> compiler it will also ensure that the <a href="/facts/Associativity/EQX8lV6r">associativity</a> of arithmetic operations is correct:

expr = term $('+' term .OUT('ADD') 
 / '-' term .OUT('SUB')
 );
term = factor $( '*' factor .OUT('MPY')
 / '/' factor .OUT('DIV')
 );
factor = ( .ID
 / .NUMBER
 / '(' expr ')')
 ( '^' factor .OUT('EXP')
 / .EMPTY);

With the ability to express a sequence with a loop or right ("tail") recursion, the order of evaluation can be controlled.
Syntax rules appear declarative, but are actually made imperative by their semantic specifications.

<h2 id="operation">Operation</h2>
META II outputs assembly code for a stack machine. Evaluating this is like using an <a href="/facts/Reverse_Polish_notation/a6rDoJ7X">Reverse Polish notation</a> (RPN) calculator.

expr = term
 $('+' term .OUT('ADD')
 /'-' term .OUT('SUB'));
term = factor
 $('*' factor .OUT('MPY')
 / '/' factor .OUT('DIV'));
factor = (.ID .OUT('LD ' *) 
 / .NUM .OUT('LDL ' *)
 / '(' expr ')') 
 ( '^' factor .OUT('XPN') / .EMPTY);

In the above .ID and .NUM are built-in token recognizers. * in the .OUT code production references the last token recognized. On recognizing a number with .NUM .OUT('LDL' *) outputs the load literal instruction followed the number. An expression:

(3*a^2+5)/b
will generate:

 LDL 3
 LD a
 LDL 2
 XPN
 MPY
 LDL 5
 ADD
 LD b
 DIV

META II is the first documented version of a <a href="/facts/Metacompiler/Ud51JPrv">metacompiler</a>,<a class="footnote-ref" id="fnref:5" href="#fn:5">5</a> as it compiles to machine code for one of the earliest instances of a <a href="/facts/Virtual_machine/BLevU3sx">virtual machine</a>.

The paper itself is a wonderful gem which includes a number of excellent examples, including the <a href="/facts/Bootstrapping/6dkM4EQv">bootstrapping</a> of Meta II in itself (all this was done on an 8K (six bit byte) <a href="/facts/IBM_1401/SrdHgTWx">1401</a>!)." – <a href="/facts/Alan_Kay/opDYqrcm">Alan Kay</a>
The original paper is not freely available, but was reprinted in <a href="/facts/Dr._Dobb%27s_Journal/6Qov1hUK">Dr. Dobb's Journal</a>, April 1980. Transcribed source code has at various times been made available (possibly by the <a href="/facts/CP/M/n5rTgXdC">CP/M</a> <a href="/facts/Users%27_group/grXwgJbX">User Group</a>). The paper included a listing of the description of Meta II, this could in principle be processed manually to yield an interpretable program in virtual machine opcodes; if this ran and produced identical output then the implementation was correct.
META II was basically a proof of concept. A base from which to work.

META II is not presented as a standard language, but as a point of departure from which a user may develop his own META "language".<a class="footnote-ref" id="fnref:6" href="#fn:6">6</a>
Many META "languages" followed. Schorre went to work for <a href="/facts/System_Development_Corporation/J18P2pEo">System Development Corporation</a> where he was a member of the Compiler for Writing and Implementing Compilers (CWIC) project. CWIC's SYNTAX language built on META II adding a backtrack alternative operator positive and negative look ahead operators and programmed token equations. The .OUT and .LABEL operations removed and stack transforming operations :<node> and !<number> added. The GENERATOR language based on <a href="/facts/LISP_2/1Ueg5969">LISP 2</a> processed the trees produced by the SYNTAX parsing language. To generate code a call to a generator function was placed in a SYNTAX equation. These languages were developed by members of the L.A. ACM SIGPLAN sub-group on Syntax Directed Compilers. Schorre viewed the META II language in a general way:

The term META "language" with META in capital letters is used to denote any compiler-writing language so developed.<a class="footnote-ref" id="fnref:7" href="#fn:7">7</a>
Schorre explains META II as a base from which other META "languages" may be developed.

<h2 id="see-also">See also</h2>
<ul><li><a href="/facts/OMeta/rc4BsUl5">OMeta</a></li>
<li><a href="/facts/TREE-META/KHSWJaQ3">TREE-META</a></li></ul>
<h2 id="notes">Notes</h2>

<h2 id="external-links">External links</h2>
<ul><li><a href="http://www.hcs64.com/files/pd1-3-schorre.pdf">ACM - Paper on META II</a></li>
<li><a href="http://www.bayfronttechnologies.com/mc_tutorial.html">Tutorial: Metacompilers Part 1</a></li>
<li><a href="http://www.bayfronttechnologies.com/metaii.html">Meta II Meta Compiler</a></li></ul>

<h2 id="references">References</h2>

<ol>
<li id="fn:1">Schorre, Dewey Val (1 January 1964). "META II A Syntax-oriented Compiler Writing Language". ACM '64: Proceedings of the 1964 19th ACM national conference (PDF). Association for Computing Machinery (UCLA Computing Facility). pp. 41.301 – 41.3011. doi:10.1145/800257.808896). <a href="http://www.ibm-1401.info/Meta-II-schorre.pdf" target="_blank">http://www.ibm-1401.info/Meta-II-schorre.pdf</a> <a href="#fnref:1" class="footnote-back-ref">↩</a></li>
<li id="fn:2">Schorre, Dewey Val (1 January 1964). "META II A Syntax-oriented Compiler Writing Language". ACM '64: Proceedings of the 1964 19th ACM national conference (PDF). Association for Computing Machinery (UCLA Computing Facility). pp. 41.301 – 41.3011. doi:10.1145/800257.808896). <a href="http://www.ibm-1401.info/Meta-II-schorre.pdf" target="_blank">http://www.ibm-1401.info/Meta-II-schorre.pdf</a> <a href="#fnref:2" class="footnote-back-ref">↩</a></li>
<li id="fn:3">Schorre, Dewey Val (1963). "A Syntax-Directed SMALGOL for the 1401". ACM National Conference. Denver, Colorado. <a href="#fnref:3" class="footnote-back-ref">↩</a></li>
<li id="fn:4">Dewey, Val Schorre (1963). META II: a syntax-oriented compiler writing language (PDF). UCLA: UCLA Computing Facility. <a href="http://www.hcs64.com/files/pd1-3-schorre.pdf" target="_blank">http://www.hcs64.com/files/pd1-3-schorre.pdf</a> <a href="#fnref:4" class="footnote-back-ref">↩</a></li>
<li id="fn:5">Ignoring META I which is only mentioned in passing in the META II document. <a href="#fnref:5" class="footnote-back-ref">↩</a></li>
<li id="fn:6">Schorre, Dewey Val (1 January 1964). "META II A Syntax-oriented Compiler Writing Language". ACM '64: Proceedings of the 1964 19th ACM national conference (PDF). Association for Computing Machinery (UCLA Computing Facility). pp. 41.301 – 41.3011. doi:10.1145/800257.808896). <a href="http://www.ibm-1401.info/Meta-II-schorre.pdf" target="_blank">http://www.ibm-1401.info/Meta-II-schorre.pdf</a> <a href="#fnref:6" class="footnote-back-ref">↩</a></li>
<li id="fn:7">Schorre, Dewey Val (1 January 1964). "META II A Syntax-oriented Compiler Writing Language". ACM '64: Proceedings of the 1964 19th ACM national conference (PDF). Association for Computing Machinery (UCLA Computing Facility). pp. 41.301 – 41.3011. doi:10.1145/800257.808896). <a href="http://www.ibm-1401.info/Meta-II-schorre.pdf" target="_blank">http://www.ibm-1401.info/Meta-II-schorre.pdf</a> <a href="#fnref:7" class="footnote-back-ref">↩</a></li>
</ol>

META II open-in-new

META II