J.JSSAC (2005) Vol. 12, No. 1, pp Risa/Asir (Received 2005/07/31 Revised 2005/08/23) 1 The palindrome name Risa/Asir comes from an abbreviation
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1 J.JSSAC (2005) Vol. 12, No. 1, pp Risa/Asir (Received 2005/07/31 Revised 2005/08/23) 1 The palindrome name Risa/Asir comes from an abbreviation of Research Instrument for Symbolic Algebra, a computer algebra system developed first at Fujitsu Laboratories, Ltd., and currently maintained by Risa/Asir Committers team. This paper is written in the hope of encouraging the future development of Japanese computer algebra activities in theory, systems and application, by reviewing the two decades of Risa/Asir. Risa/Asir Research Instrument for Symbolic Algebra Risa/Asir Committers team 1) ( ) Risa/Asir 2 Risa/Asir Risa/Asir formula manipulation computer algebra formula manipulation (=formula) ( ) (=computer algebra) tak@jp.fujitsu.com 1) Risa/Asir OpenXM Contrib2 Risa/Asir committers OpneXM committers ( OpenXM Committers c 2005 Japan Society for Symbolic and Algebraic Computation
2 Risa/Asir / 2) ( ) Asir Pari 3) 2 ( ) ( ) ICOT 4) 5) ICOT 1985 Risa/Asir 4 2) Risa/Asir GUI(Graphical User Interface) CUI(Command line User Interface) GUI 3) Pari: Henri Cohen C Library 4) ( ) 5)
3 J.JSSAC Vol. 12, No. 1, Risa/Asir 3 Risa/Asir Risa ( ) ( ) 6) 7) 8) 3 C Risa 9) risa( ) risa ( ) 2 Nor-Yokosyma Macsyma R. Fateman Yokosyma evil mind Nor-Yokosyma (neither Macsyma) nor evil mind ) 2 Research Symbolic Algebra R sa( ) ( ) Prolog (Prolog term) (concatenation) i Research Instrument for Symbolic Algebra ( ) Risa Asir Risa Risa/Asir 1992 ISSAC92 [4] Geddes 11) ( Asia ) 1990 (ISSAC90) ( ) 6) IT 7) 8) 9) L R Lisa Risa NHK Risa Stegmayer ( Risa ) 10) ( ) 11) K. O. Geddes. Waterloo Maple
4 Risa ( ) ( ) Risa ICOT 12) PSI Machine 13) Maple Mathematica ( ) 14) FLATS Reduce 15) Reduce Lisp Reduce Lisp 16) GAL(General Algebraic Laboratory) Lisp ( ) ( ) IBM PL/I FORMAC FORMAC ICOT ) ( ) 13) Personal Sequenctial Inference Machine ( = ) ICOT PIM (Parallel Inference Machine = ) (ICOT ) PSI 14) 15) Rand Corp. A. C. Hearn 16)
5 J.JSSAC Vol. 12, No. 1, ! 2 GCD Risch 17) Berlekamp Buchberger 18) 2 19) Risch 20) 21) 5 Risa/Asir 5.1 Risa/Asir 22) kan 23) 17) ICOT ESP 18) Bruno Buchberger, RISC-Linz. (Buchberger ) Berlekamp-Zassenhaus Risch-Norman 3 19) ICOT SSL 2 20) 21) ( ) adhoc Risa/Asir 22) GAL 1970 NTT AL(Algebraic Language)[9] 1986 Prolog Sync[16]
6 [19] kan Risa/Asir OpneXM 1985 (AI) Lisp Lisp Prolog ESP (Extended Self-contained Prolog) AI Prolog( ESP) Prolog Lisp ICOT Prolog (fomula manipulation) / ( ) (computer algebra) AI Lisp Prolog Lisp Prolog C 24) = 25) ( ) ( ) ( ) 26) 1997 ( Prolog Lisp ) ( ) 5.2 ICOT ICOT 27) PSI 23) kan/sm / OpenXM Risa/Asir 24) Maple Mathematica 3 C 25) ) 27) Prolog ICOT ESP Prolog
7 J.JSSAC Vol. 12, No. 1, GCD 1 GCD FM11 OS9-BASIC ( ) ( ) Berlekamp/Zassenhaus PSI-II SAM [18] Risch Reduce Maple 28) 5.3 Risa/Asir ICOT SUN DOS/V ICOT 2 ICOT SAM Prolog C Risa Asir Risa Asir [17] Asir dbx ( ) 28) Mathematica Risch
8 ( ) 1989 Risa/Asir Prolog GCD GC(Garbage Collection) C alloc(), free() 1989 Boehm-Weiser conservative garbage collector Risa/Asir Boehm-Weiser GC 9 RISC-Linz 1 RISC-Linz( Buchberger 29) ) 1990 Wang-Trager GCD EEZ EZ EEZ EZ Asir 1991 [8, 13] TCP/IP Risa/Asir Risa/Asir 2000 OpenXM 1992 Risa/Asir BigFloat( ) PARI BigFloat (BigFloat ) Asir Risa/Asir 640k DOS Petit-Asir[10] Unix Macintosh 1993 DOS / Risa/Asir (V940420) sci.math.symbolic, sci.math Risa/Asir Unix MSDOS DOSExtender (exe386, go32) dos Macintosh Mac 29) Buchberger Asir Manual Risa/Asir
9 J.JSSAC Vol. 12, No. 1, /OS Windows (V950831) 1 Risa Consortium Windows (3.1, NT, 95 V ) Risa/Asir CD 1998 Windows CD [14] SEG Risa/Asir ftp 30) Risa/Asir Risa/Asir 2000 Risa/Asir ( ) 31) Risa/Asir OpenXM Committers 32) ( ) Risa/Asir 33) Windows Unix 5.4 Risa Consortium/Risa Conference Risa Risa Consortium 34) 35) 36) Risa Consortium (RisaCon) Windows 1996 ( ) ( ) ( ) 3 5 (1997 ) 7 ( ) 30) Katsura-n n = Katsura-n 31) Φ p (x, y) 113 (30 ) p 32) 33) OpenXM Committers 34) 35) 36) ( )
10 (2002 ) Risa/Asir Conference 5 6 Risa / Risa/Asir Conference 5.5 Risa/Asir Risa ( ) Big Float Pari (log x, sin x f (x, y) ) Risa Asir parse tree Asir (Lisp quote evaluation ) 5.6 Risa ) 1992 Asir C Risa J-C.Faugere Faugere ( jcf/) Buchberger (0-dimensional radical) 38) Risa/Asir ( dp_f4_main ) 1996 Risa 37) ) F4
11 J.JSSAC Vol. 12, No. 1, Risa McKay 39) replicable functions of odd level 12 McKay Risa ( ) [7] 72 replicable functions of odd level ( ) ( ) 72 ( ) Risa Ultra Sparc 170MHz 460MB ) P6-200MHz MB [5] 41) / (2004 ) Mathematica Maple 42) 43) [15] Risa Reduce Mathematica Zalgaller Asir Mathematica Risa/Asir OpenXM Risa/Asir [7] Galois [2] Kan-sm1 39) John McKay, Concordia Univ. Canada. 40) [12] ) Buchberger 42) Risa 1 (1 ) ax + b b/a Risa/Asir 43)
12 b-function [6] ) QE(quantifier elimination) 1997 QE Risa Maple SyNRAC [1] QE QE QE 6 20 GUI IT QE QE 44) P 0 (P 0 ) τ τp 1 (τp 1 = 0 )
13 J.JSSAC Vol. 12, No. 1, / Risa/Asir ( ) QE ( ) Asir OpenXM Risa Consortium Risa Risa/Asir 20 Risa 3 45) ICOT Risa 46) 47) Risa [1] Anai, H., Yanami, H., SyNRAC: a Maplepackage for solving real alge-braic constraints. Presented at International Workshop on Computer Algebra Systems and their Applications (CASA), Proc. ICCS 2003, LNCS, 2657, , Springer-Verlag, [2] Anai, H., Noro, M., and Yokoyama, K.:Computation of the splitting fields and the Galois groups of polynomials, Progress in Mathematics, 143, 29-50, Birkhäuser, [3] Becker,T., Weispfenning,V. :Gröbner Bases, Springer-Verlag, 1993 [4] Noro, M., Takeshima, T.: Risa/Asir A Computer Algebra System, Proc. ISSAC92, , ACM Press, [5] Noro, M., McKay J. : Computation of replicable functions on Risa/Asir, Proc. PASCO 97, ACM Press, [6] Oaku, T.:Algorithms for b-functions, restrictions, and algebraic local cohomology groups of D-modules, Advances in Applied Mathematics, 19, , [7] Shimoyama, T. and Yokoyama, K.:Localization and primary decomposition of polynomial ideals, J. Symbolic Computation, 22, , Accademic Press, [8] Takeshima T., Noro M. and Saito T. : Graphic Drawing Apparatus for Generating Graphics of Implicit Functions, U.S.Patent No , ) 46) 47)
14 [9] AL 20, 2, , [10], : risa, 1,, 1, 2, 57-60, [11],, : Risa/Asir 2 ( ),, 2, 2, 48-51, [12], : weight,, 1395, 1-7, [13],,, : 2,, 41, 4, , [14] :RISA/ASIR SEG 1998 [15] :,, 1996 [16], : SYNC,, 30, 4, , [17], : risa C-like ASIR dbx-like debugger,,, [18] : PSI SAM , 1989 [19]
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J.JSSAC (2005) Vol. 11, No. 3,4, pp. 77-88 Noda2005 MathBlackBoard MathBlackBoard is a Java program based on the blackboard applet. We can use the blackboard applet with GUI operations. The blackboard
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A MATLAB Toolbox for Parametric Rob TitleDesign based on symbolic computatio Design of Algorithms, Implementatio Author(s) 坂部, 啓 ; 屋並, 仁史 ; 穴井, 宏和 ; 原
A MATLAB Toolbox for Parametric Rob TitleDesign based on symbolic computatio Design of Algorithms, Implementatio Author(s) 坂部, 啓 ; 屋並, 仁史 ; 穴井, 宏和 ; 原, 辰次 Citation 数理解析研究所講究録 (2004), 1395: 231-237 Issue
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