Formalization of Isabelle Meta Logic in NuPRL Pavel Naumov ...

3 downloads 0 Views 264KB Size Report
Sep 15, 1999 - for the addition operator add(x, y) is x+y and the one for universal q ... Majority of recursive functions are defined in NuPRL using Y -combinator.
     "! #%$&' () +*),-/.0$ 1 24365 79826:=?3A@ BDCFEAGHJILKMCFN?IPO QSRO KMEUT6ILCVHXW6YFZ[CFN\YFC^]ARO HLN\CF_[_a`DN\Z[b4CVHLcJZdIfe?]6ghILiUG YjGk]UlnmpoVq4r^s t u6v w?x?y zk{4|a}J{ ~ ^€kx?y^y9}fx^^‚ W6CVE\ILCFK„ƒ…CVH#os?]aoF†^†^† ‡ ˆ‰FŠF‹ŒA Š^Ž lXTA‘D’“G NA”DghcLG ƒ…CF_[_[CPGHLCIf•PO– CFNUCVH—G _4EUT6HLE…O^cJCILiUCVO HLCFK&E\HLOb4CVHLcF˜ ™O ILiO QaILi\CFKšGHLCDƒUG cJCj” O^NGb^CVHLcJZ[O^NO Q9RO^NUc›IJHLT\YVILZ[b4CDœXZ[–^iUCHnžXH—”\CVHPŸ e6E…C ŸPi\CFO HJe?˜UgfN¡G N¡CjG HL_[Z[CVHD•O HL¢ILiUC£G T6ILiUO HDiUG cnE\HLO^E…O cJCj”¡G N¤Z¥N6Q¦O HLK G _9cJCFK G N\§ ILZ[YFcXO Q‘gfcLG ƒ…CF_[_[C“¨¤CVI—GM’©O^– Z¥YZ[NªG N>C«6ILCVNUcJZ[O^N¡O QSlXTA‘D’¬Ÿ e6E…CŸPiUCFO HJe?˜A­nN G T\ILO^K GILCj” YFO^Nkb4CVHJILCHj]\ƒUG cJCj”O^NILiUZ[ccJCFK G N?ILZ[YFcF]6iAG cƒ…CFCFN”\CFb^CF_[O^E…Cj””\CVCFE¯CFK„ƒ…Cj”U”6Z[NU–¤O QgfcLG ƒ…CF_[_[C Ihe6E…C“G NU”µILCVHLK¶c›e6N?I—G «µZ[N?ILO lXTA‘D’¡RO NUc›IJHLT\YVILZ[b4CnŸ e6E…CŸPiUCFO HJe?˜4lXCV«kIj] Ih•POZ[N?ILCVHLNAG _UlDTU X’Q°TUN\YVILZ[O^NUc GHLC#”\C·ANUCF”©˜kžDN\CXO Q¸ILi\CFK¹K G EUc gfcLG ƒ…CF_[_[CDIfe6E…CFc Z[NkILO£lXTA‘D’>Ife6E…CFcSG NU”“ILiUC O ILiUCVHK G EUcgfcLG ƒ…CF_[_[CILCVHLKMcZ[NkILO¡CV_¥CVKMCFN?ILcO QXG EUE\HLO E\HLZ¥G ILClDTU X’Ife6E…CFcF˜ ŸPi\CFcJC¬Ih•PO³Q¦T\NUYVILZ[O^N\c¤E6HLO bkZ¥”\CµG N&Z[N?ILCVHLE6HLCVI—G ILZ[O^NºO QghcLG ƒ…CF_[_[C¯Z[N»lDTU X’ ˜ ¼9Z[NAG _[_[e?]Z[NkILCHLE\HLCVI—GILZ¥O NUcO QG _¥_DgfcLG ƒ…CV_¥_[C¬¨¤CVI—G³’©O^–^Z[YªHLTU_[CFcG HLCªE\HLOb4CVN½G c ILi\CFO HLCFKMcZ[N>cJO KMC#YF_¥G cJcJZ[YjG _CV«kILCFNUcJZ[O N¤O Q‘lXTA‘D’µŸ e6E…C£ŸPi\CFO HJe?˜ ŸPi\Z¥cQ°O HLK G _[Z[±jGILZ¥O NªZ¥cnG Z¥KMCF”ILO“E6HLO bkZ¥”\C#GKMO HLC#cJCVYFT\HLC#Q°O^TUNU”UGILZ¥O N¤Q¦O HILiUC Z[N?ILCVH—G YILZ¥O N¡ƒ…CVIf•CFCFNIf•POc›e\c›ILCVKMcF˜ ¾ ¿UÀnÁ…ÂÏ = Ê°Ë2¡Ôa=U=\7Ó5^2kÒîd5 QU:©2k7°Ê¥ÏLå 6= Ò>ÏLåAÖ¸54V â\à Ê°Ë—ÏnÔa=U=\7Ó5^2kÒ¡5dQ\:¸2k7°Ê¥ÏLåÊ°ËnÌ͝ÊÓϗÏV5 Òµ2\Ëu~%?Jâ\È#É=\͝5ã65 Ò©5 ÍF2k7‘×ä=\͝;ï¸ÏÉϝÉ2kÒ©Ð>Ѕ5 ê©ÒÊÓÏVËnÊÓÒUÏV5 ÍØ Öϝɩʰ˪ϝÉåº=6=6Ò>ׄÏVÏVÉϝɩʰ˪ϝÉ

Suggest Documents