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Proof of Correctness? ??

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Title: Proof of Correctness? ??


1
?? ?? ? ??
  • ????
  • Proof of Correctness? ??
  • Lambda Calculus Python? ???? ?? ??
  • ??? 2??? ???? 1? ??, term project? ??, ? ?? ????
    ? ?? ?? ??
  • ??
  • ??, ?? ? 12? ??? ????
  • ??? 75?(1430-1545), ?? ???? ??

2
????
  • Http//borame.cs.pusan.ac.kr/lecture
  • ?????? (??)
  • 2002? ?? ??
  • 2002? ???, ?? ????
  • 2003, 2004, 2005, 2006, 2007, 2008, 2009?, 2010,
    2011, 2012? ????
  • ?? ???, ??, ?? ?? ??(??) ??
  • ?? ?? ??? ? ?? ??? ??? ????? ?? ???? ??? ? ??

3
???? ??
  • ??? ?? ???? ??? ???? ??? ?????
  • ?????? ???? ? ?? ??? ?? ??? ???? ????, ???? ???
    (??? ????? ??)
  • ?? ?????? ???? ??
  • high-level data types built in, such as flexible
    arrays and dictionaries
  • ???? ??? ?? ??? ???? ???, ??? ?????
  • Runtime checking? ???

4
????? ??, ?? ?? ???
  • Paul Graham? "Revenge of the Nerds"? "Beating for
    average"?? ??? ??? ?????, ????? ? ??? ? ??? ???
    ??? ??? ?? ??? ???? ??? ??? ????? ??? ????, ???
    ????? ??? ????? ??? ??? ? ??? ??? ??.?, ??? ? ??
    ??? ?? ??? ??? ???? ??? ? ??? ??? ????.
  • GitHub JavaScript, Ruby, Python, PHP, Java, C,
    C, Perl, C, Objective C
  • StackOverflow C, Java, PHP, JavaScript, C,
    Python, Objective-C, C, Ruby, Perl, Delphi

5
????? ?? ?? ?? (Script ?? ??)
  • Tiobe.com (Skilled Engineer)
  • Java 19.1
  • C 15.2
  • C 10.1
  • PHP 8.7
  • Visual Basic 8.4
  • Perl 6.2
  • Python 3.8
  • C 3.7
  • JavaScript 3.1
  • Ruby 2.6
  • Delphi 2.1
  • Dice.com (2006?)
  • Java 35.7
  • C, C 15.3
  • C 12.7
  • Perl 11.9
  • JavaScript 10.9
  • Visual Basic .NET 5.2
  • PHP 2.9
  • Ajax 2.7
  • Python 2.0
  • Ruby 0.7

6
? ????? ???? ????
  • ??? ????? ?? ? ??? ?? ??? ?? ?? ? ? ?? ??
  • ???? ????? ??? ??? ???? ?? ????? ??? ? ?? ?
  • ???? ????? ??? ??? ??? ??? ???? ??
  • ????? ?? ? ???? ??? ??

7
????
  • ??? ???? ??!! ??? ???? ??!!
  • ??? ??(Object), ??? ??, ???
  • ??? ??, ??
  • ??? ??? ?? ??? ??? ???, ??? ???? ???
  • ????? ???
  • ??????? !!
  • ??? ??? ???? ??? ? ?? ???? ??
  • ??? ??? ?? ??(??? ??? ??)
  • ??? ?? ????? ?? ? ???, ??? 1,000? ? ?? ????? ?? ?
    ??. (?? ??)
  • ??? ?? ?? ??? ???? ????
  • ??? ??? ???? ?? ????? ??? ?????? ??
  • ??? ??? ??? ???? ? (?? ????? ? ???)

8
Organization of Programming Languages
  • Understand how languages are designed and
    implemented
  • ??
  • Lexicon What sorts of words are legal?
  • Syntax -- What a program looks like?
  • Semantics -- What a program means?
  • Pragmatics ?? ???? ??? C??? int?
  • ?? ?? ??
  • ????, ??, ???? ? ??
  • ????, keywords, ??
  • ????? ???? ??
  • ??? ??? ? ??
  • Implementation -- How a program executes

9
????? ??? ??
  • Understand most appropriate language for solving
    specific problems, For example
  • Pascal, C, Perl -- procedural, statement oriented
  • C, Java, Smalltalk -- Object oriented
  • ML, Lisp -- Functional
  • Prolog -- Rule-based
  • JavaScript, PHP, ASP.net, C Procedural,
    Event-driven accessing

10
Language Goals
  • During 1950s--1960s - Compile programs to execute
    efficiently.
  • There is a direct connection between language
    features and hardware - integers, reals, goto
    statements
  • Programmers cheap Machines expensive Keep the
    machine busy
  • But today
  • Compile programs that are built efficiently
  • CPU power and memory very cheap
  • Direct connection between language features and
    design concepts - encapsulation, records,
    inheritance, functionality, assertions
  • Event-driven programming, Service-oriented
    approach, Web-service, Very High-level Language

11
Python
  • Python is a general-purpose, high-level
    programming language. Its design philosophy
    emphasizes programmer productivity and code
    readability. Python's core syntax and semantics
    are minimalist, while the standard library is
    large and comprehensive.
  • Python supports multiple programming paradigms
    (primarily functional, object oriented and
    imperative), and features a fully dynamic type
    system and automatic memory management it is
    thus similar to Perl, Ruby, Scheme, and Tcl.
  • Python was first released by Guido van Rossum in
    1991.3 The language has an open,
    community-based development model managed by the
    non-profit Python Software Foundation. While
    various parts of the language have formal
    specifications and standards, the language as a
    whole is not formally specified. The de facto
    standard for the language is the CPython
    implementation.

12
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13
Why study programming languages? (1)
  • To improve your ability to develop effective
    algorithms
  • Improper use of recursion
  • Object-oriented programming, logic programming,
    concurrent programming
  • To improve your use of your existing programming
    language
  • Data structures for arrays, strings, lists,
    records, set, bag, table (associative array)
  • Malloc() ? garbage collection
  • Implementation details of recursion, object
    classes, subroutine calls, exception(event)
    handling
  • Service-oriented developing
  • Web-service, Semantic web, Script language

14
Why study programming languages? (2)
  • To increase your vocabulary of useful programming
    constructs
  • Increase programming vocabulary and its
    implementation tech.
  • Coroutine, Semaphore, event-driven programming,
    associative array
  • Named parameter (keyword argument) (Ada, Python,
    Smalltalk, Common Lisp)
  • Name mangling (name decoration) _Z on C, C
  • Filename mangling Unix file names can contain
    colons or backslashes
  • To allow a better choice of programming language
  • Numeric computation C, FORTRAN, Ada
  • AI LISP, Prolog
  • Internet applications Perl, Java, HTML, XML,
    Web Service(SOAP), PHP, ASP.net, Python

15
Why study programming languages? (3)
  • To make it easier to learn a new language
  • Web programming (JavaScript, PHP), Semantic web
  • Python
  • To make it easier to design a new language
  • User interface design
  • C, COBOL, SMALLTALK? ??? ????? ???? ???? ?
    ??? ??

16
Evolution of software architecture
  • 1950s - Large expensive mainframe computers ran
    single programs (Batch processing)
  • 1960s - Interactive programming (time-sharing) on
    mainframes
  • 1970s - Development of Minicomputers and first
    microcomputers. Apple II. Early work on windows,
    icons, and PCs at XEROX PARC
  • 1980s - Personal computer - Microprocessor, IBM
    PC and Apple Macintosh. Use of windows, icons and
    mouse
  • 1990s - Client-server computing - Networking, The
    Internet, the World Wide Web
  • 2000s - P2P, Grid Computing, Web Service,
    Event-driven approach, Service-oriented
    programming, Script language, Cloud Computing

17
Attributes of a good language (1)
  • Clarity, simplicity, and unity - provides both a
    framework for thinking about algorithms and a
    means of expressing those algorithms
  • Conceptual integrity
  • ?? ? APL, SNOBOL4
  • Orthogonality - every combination of features is
    meaningful
  • Fewer exceptions ? C???? !!!
  • Logical errors and inefficiency

18
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19
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20
Attributes of a good language(2)
  • Naturalness for the application - program
    structure reflects the logical structure of
    algorithm
  • Sequential algorithm, concurrent algorithm, logic
    algorithm, non-deterministic algorithm
  • Appropriate data structures, operations, control
    structures, natural syntax
  • Support for abstraction - program data reflects
    problem being solved
  • Data abstraction ltD,O,Cgt
  • Encapsulation

21
Attributes of a good language (3)
  • Ease of program verification - verifying that
    program correctly performs its required function
  • Verification/validation
  • standard, or specification requirements
  • the needs of the intended end-user or customer
  • Comments, assert()
  • Design specification
  • Programming environment - external support for
    the language
  • Debugger, syntax-directed editor
  • Supporting function, platforms
  • Smalltalk
  • Supporting all the software lifecycle phases

22
Attributes of a good language (continued)
  • Portability of programs - transportability of the
    resulting programs from the computer on which
    they are developed to other computer systems
  • Transportability
  • C, C, Pascal ? Java (Byte-code)
  • ML single source implementation
  • Cost of use - program execution, program
    translation, program creation, and program
    maintenance
  • Code optimization, (Smalltalk, Perl), lifecycle
    costs

23
Language paradigms
  • Imperative languages
  • Goal is to understand a machine state (set of
    memory locations, each containing a value)
  • Statement oriented languages that change machine
    state (C, Pascal, FORTRAN, COBOL, C, Java)
  • Syntax S1, S2, S3, ...
  • Applicative (functional) languages
  • Goal is to understand the function that produces
    the answer
  • Function composition is major operation (ML,
    LISP)
  • Syntax P1(P2(P3(X)))
  • Programming consists of building the function
    that computes the answer

24
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25
example1.f
  • 234567 example1.f
  • A tiny program to plot my running times
    using GrADS

  • PARAMETER(NDAYS365, UNDEF-9.99,
    EMPTY0.00)
  • C
  • REAL MIN(NDAYS)
  • DIMENSION SEC(NDAYS)
  • C
  • CHARACTER27 HEADER
  • CHARACTER3 DAY
  • CHARACTER28 PATH
  • C
  • PATH'/data/temp4/alfredo/fortran/'
  • C
  • OPEN(1,FILEPATH//'runtimes.data',FORM'FORM
    ATTED',
  • - STATUSOLD')

Changing to REAL
Nonexecutable
Sequential (by default)
26
example1.f
Undefined value
  • READ (1,2) HEADER
  • WRITE(,2) HEADER
  • WRITE(,2) '----------------------------'
  • C
  • ND 0
  • 1 CONTINUE
  • ND ND1
  • READ (1,3,END4) DAY,DATE,MIN(ND),SEC(ND)
  • WRITE(,3) DAY,DATE,MIN(ND),SEC(ND)
  • IF((MIN(ND).EQ.EMPTY).AND.(SEC(ND).EQ.EMP
    TY)) GO TO 4
  • GO TO 1
  • 4 CONTINUE
  • ND ND - 1 !Taking away the last line
    because is blank
  • CLOSE(1)
  • 3 FORMAT(A3,2X,I8,2X,F5.2,2X,F5.2)
  • WRITE(,)'---------------------------------
    ----------'
  • WRITE(,)'I AM RUNNING SINCE JULY 1,
    2002!!!!!'
  • WRITE(,)'THAT IS',ND,' DAYS AGO'
  • C

runtimes.data DAY DATE MIN
SEC MON 01072002 -9.99 -9.99 TUE 02072002
-9.99 -9.99 WED 03072002 19.00 43.00 THU
04072002 19.00 33.00 FRI 05072002 19.00
33.00 SAT 06072002 19.00 27.00 SUN 07072002
-9.99 -9.99 MON 08072002 19.00 46.00
. . . TUE 15102002 29.00 7.00 WED 16102002
-9.99 -9.99 THU 17102002 FRI 18102002 SAT
19102002 SUN 20102002 MON 21102002 TUE
22102002 WED 23102002 THU 24102002 FRI
25102002 SAT 26102002 SUN 27102002
No value
27
example1.f
  • OPEN(2,FILEPATH//'runtimes_gr.data',ACCESS
    'DIRECT',
  • - STATUS'UNKNOWN',FORM'UNFORMATTED',R
    ECL1)
  • C
  • NDNOR 0
  • NDSIR 0
  • DO N 1, ND
  • IF((MIN(N).EQ.UNDEF).OR.(SEC(N).EQ.UNDEF)
    ) THEN
  • TIME UNDEF
  • NDNOR NDNOR 1
  • ELSE
  • TIME MIN(N)SEC(N)/60.
  • NDSIR NDSIR 1
  • ENDIF
  • WRITE(2,RECN) TIME
  • ENDDO

28
example1.f
  • WRITE(2,RECND1) UNDEF !Just adding 1 and
    2 extra
  • WRITE(2,RECND2) UNDEF !blank lines for
    plotting purposes
  • CLOSE(2)
  • WRITE(,)'WELL,',NDSIR,' DAYS LEAVING FOR
    A RUN'
  • WRITE(,)'AND',NDNOR,' DAYS JUST BEING
    LAZY'
  • WRITE(,)'---------------------------------
    ----------'
  • WRITE(,)'make ',ND2,' days in the script
    file'
  • WRITE(,)'grads -blc "run runtimes.gs"'
  • C
  • 2 FORMAT(A27)
  • C
  • C f77 example1.f
  • C ./a.out
  • END

29
COBOL II
  • 000010 IDENTIFICATION DIVISION.
  • 000020 PROGRAM-ID. SAMPLE.
  • 000030 AUTHOR. J.P.E. HODGSON.
  • 000040 DATE-WRITTEN. 4 February 2000
  • 000041
  • 000042 A sample program just to show the form.
  • 000043 The program copies its input to the
    output,
  • 000044 and counts the number of records.
  • 000045 At the end this number is printed.
  • 000046 000050 ENVIRONMENT DIVISION.
  • 000060 INPUT-OUTPUT SECTION.
  • 000070 FILE-CONTROL.
  • 000080 SELECT STUDENT-FILE ASSIGN TO
    SYSIN
  • 000090 ORGANIZATION IS LINE
    SEQUENTIAL.
  • 000100 SELECT PRINT-FILE ASSIGN TO
    SYSOUT
  • 000110 ORGANIZATION IS LINE
    SEQUENTIAL.

30
COBOL II
  • 000120
  • 000130 DATA DIVISION.
  • 000140 FILE SECTION.
  • 000150 FD STUDENT-FILE
  • 000160 RECORD CONTAINS 43 CHARACTERS
  • 000170 DATA RECORD IS STUDENT-IN.
  • 000180 01 STUDENT-IN PIC X(43).
  • 000190
  • 000200 FD PRINT-FILE
  • 000210 RECORD CONTAINS 80 CHARACTERS
  • 000220 DATA RECORD IS PRINT-LINE.
  • 000230 01 PRINT-LINE PIC X(80).
  • 000240
  • 000250 WORKING-STORAGE SECTION.
  • 000260 01 DATA-REMAINS-SWITCH PIC X(2) VALUE
    SPACES.
  • 000261 01 RECORDS-WRITTEN PIC 99.
  • 000270

31
COBOL III
  • 000270
  • 000280 01 DETAIL-LINE.
  • 000290 05 FILLER PIC X(7) VALUE SPACES.
  • 000300 05 RECORD-IMAGE PIC X(43).
  • 000310 05 FILLER PIC X(30) VALUE
    SPACES.
  • 000311
  • 000312 01 SUMMARY-LINE.
  • 000313 05 FILLER PIC X(7) VALUE SPACES.
  • 000314 05 TOTAL-READ PIC 99.
  • 000315 05 FILLER PIC X VALUE SPACE.
  • 000316 05 FILLER PIC X(17) VALUE
    'Records were read'.
  • 000318 05 FILLER PIC X(53) VALUE SPACES.
  • 000319

32
COBOL IV
  • 000320 PROCEDURE DIVISION.
  • 000330 PREPARE-SENIOR-REPORT.
  • 000340 OPEN INPUT STUDENT-FILE.
  • 000350 OUTPUT PRINT-FILE.
  • 000351 MOVE ZERO TO RECORDS-WRITTEN.
  • 000360 READ STUDENT-FILE
  • 000370 AT END MOVE 'NO' TO
    DATA-REMAINS-SWITCH.
  • 000380 END-READ.

33
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34
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35
Language paradigms (continued)
  • Rule-based languages
  • Specify rule that specifies problem solution
    (Prolog, BNF Parsing)
  • Other examples Decision procedures, Grammar
    rules (BNF)
  • Syntax Answer ? specification rule
  • Programming consists of specifying the attributes
    of the answer
  • Object-oriented languages
  • Imperative languages that merge applicative
    design with imperative statements (Java, C,
    Smalltalk)
  • Syntax Set of objects (classes) containing data
    (imperative concepts) and methods (applicative
    concepts)

36
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37
New Paradigm
  • Internet, Home Computing, Ubiquitous Computing,
    Embedded Computing, etc
  • Languages and Compilers that are smart, small and
    safe
  • Moveable code ? agents
  • Independent from machines and programming
    environments
  • Supporting pragmatics or intelligence
  • Java, XML, Mobile computing. Mobile code
  • Event driven approach, Service-oriented
    Architecture, Web Service
  • Supports multiple paradigms Python
  • ??? ????, ?????? ??? ???? ???? ???? ??? ??? ????
    ??? ?????? ???? ??

38
??? ????!!
  • (1) Orthogonality? C???? ???? ? ?? ??? ?? ???!
  • (2)??? ???? ??? ? ????? ??? ??????
  • (3) ????? ?????? Platform?? ?? ????? ??.
    Platform?? ????, ?? ??????? ?? ??? ???? ?? ??
    ??? smartphone platform? ????, ? platform? ??? ?
    ??? ???????? ???????(?)? ?? ??? ?? ? ?? ??? ????.
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