PDF-A taste of linear logic Philip Wadler Department of Computing Science University of Glasgow

glasgowacuk Abstract This tutorial paper provides an introduction to intuitionistic logic and linear logic and shows how they correspond to type systems for functional languages via the notion of Propositions as Types The presentation of linear logic. We charac terise where positive and negative blame can arise by decomposing the usual notion of subtype into positive and negative subtyping and show that these recombine to yield naive subtyping Naive typ ing has previously appeared in type systems Please do not alter or modify contents All rights reserved For more information call 8003384065 or visit wwwloveandlogiccom Love and Logic Institute Inc is located at 2207 Jackson Street Golden CO 80401 57513 1998 Jim Fay 57375e Delayed or Anticipat 0 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 120 459 405 144 136 130 129 128 122 122 89 311 54 217 95 203 153 180 167 153 144 516 485 1001 SIGMA 1000 1000 1000 1000 1000 1000 100 e Ax where is vector is a linear function of ie By where is then is a linear function of and By BA so matrix multiplication corresponds to composition of linear functions ie linear functions of linear functions of some variables Linear Equations Please do not alter or modify contents All rights reserved QVSIBTFE 1BJOMTT1BSOUJOHSUI1STDIMBST BDLTPU PMEF XXXMPWF E MPHDDPN 57513 2001 Jim Fay End the Bedtime Blues Parents Dont Need to Force Kids to Go to Sleep edtime is a time of frustration Social Inequality and Political Instability: What does the Survey Evidence Tell Us?. Outline paper prepared for the . ECPR General Conference, Glasgow, 3-6 September 2014. Outline paper prepared for the BASEES annual conference, Cambridge, 5-7 April 2014. . Presentation by Laura . Karuks. Capital: Edinburgh. . Lagest. city: Glasgow. Official language is English and . r. ecognised. regional languages are Scottish and Gaelic. Monarch is Elizabeth II. Ragne Nikkel. G1B. Pärnu Coeducational Gymnasium. Prince Philip, . Duke . of Edinburgh. Born. : . 10. .. June. .. 1921. as. Prince Philip of Greece and Denmark. .. Family: . his . mother . was . Princess Alice of Battenberg. GOVERNOR’S ENERGY CONFERENCE . By Mayor Rhonda Riherd Trautman. Overview. History of Project. Partnerships. Funding Sources. Timeline . Project Details. HISTORY. The Glasgow Regional Landfill has been listed as a “candidate” landfill by the EPA for Methane Recovery for a number of years. . Teran Frick. Getting Around. Trains- some of the most affordable, quick options, especially for lengthy travel. . http://www.scotrail.co.uk. . Buses- best for short distances . http://www.firstgroup.com/ukbus/scotland_east/journey_planning/timetables/index.php?operator=25&page=1&redirect=no. An Introduction to our Policy Log. There are three types of Policy Motion in our Policy Log: . Manifesto Commitments – the eight motions which make up our manifesto, ‘To Listen, To Speak, To Change,’ which were decided after consultation with over 1,000 Young People.. Special organs of taste. Approximately 10,000 on surface of tongue. 1,000 scattered in the roof of mouth and walls of throat. Associated with Papillae. Tiny elevations on tongue. Taste Receptors. Taste Cells . 24 March 2018. John Galt & Glasgow. Timeline of places. (with thanks to Ian McGhee). Born 2 May 1779, . Irvine. 1789, moves to . Greenock. 1804, moves to . London. 1809, travels . the Mediterranean. After eating Cheddar cheese or tomatoes, there may be a ‘savoury’ taste lingering - this is umami. . Have you tasted umami?. How was it discovered?. Umami was discovered by Dr . Kikunae. Ikeda, from Tokyo Imperial University, Japan, in 1908. .