In Marxist practice, a minimum programme consists of a series of demands for immediate reforms and, in far fewer and less orthodox cases, also consists of a series of political demands which, taken as a whole, realise key democratic-republican measures enacted by the Paris Commune and thus culminate in the strictly political dictatorship of the proletariat.
One of the first examples of a minimum programme is in the 1880 programme drawn up for the French Workers' Party by Jules Guesde with Paul Lafargue, Friedrich Engels and Karl Marx.
[1] The introductory Preamble, also known as the "maximum section" was given to Guesde by Marx and concludes with the following paragraph (according to the Penguin translation from the German in MEW) The French socialist workers, who have set themselves in the economic arena the goal of the return of all means of production to collective ownership, have decided, as the means of organisation and struggle, to enter the elections with the following minimum programme.
[1] Engels recommended the economic part of the minimum section to the SPD drafters of the Erfurt programme.
In the short term, parties were to pursue only the minimum programme of achievable demands, which would improve workers' lives until the inevitable collapse of capitalism.