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Randomized separations in black-box TFNP
arXiv:2606.04697v1 Announce Type: new Abstract: We study the relationship between deterministic and randomized black-box reducibility between problems in TFNP. Our main contribution is a general technique that establishes equivalence between these reducibility types from specific TFNP problems to any TFNP problem. In particular, we show that this equivalence holds for reductions from complete problems in PPP, PPAD, PPA, and $t$-PPP.
Reeves examines using private sector funds to speed building of new towns
Chancellor in talks with banks and investment funds about public-private partnerships to build infrastructureBusiness live – latest updatesRachel Reeves is examining how to attract funds from private investors to accelerate the government’s development of new towns in England. The chancellor has begun talks with some of the UK’s biggest banks and investment funds about building infrastructure for new towns based on public-private partnerships (PPP) – a successor to the much-criticised Tony...
Reeves examines using private sector funds to speed building of new towns
Chancellor in talks with banks and investment funds about public-private partnerships to build infrastructureBusiness live – latest updatesRachel Reeves is examining how to attract funds from private investors to accelerate the government’s development of new towns in England. The chancellor has begun talks with some of the UK’s biggest banks and investment funds about building infrastructure for new towns based on public-private partnerships (PPP) – a successor to the much-criticised Tony...
Is Indus Waters Treaty deadlock hurting Pakistan? Karachi reels under chronic water shortage
Karachi faces a severe water crisis during peak summer, coinciding with Eid-ul-Adha. Jamaat-e-Islami Pakistan chief Hafiz Naeem ur Rehman has accused the ruling PPP of gross mismanagement and failure to address the city's chronic water shortages despite 18 years in power. Nearly 70% of the city is reportedly experiencing extended supply disruptions, forcing residents to buy expensive private tankers.
Reeves examines using private sector funds to speed building of new towns
Chancellor in talks with banks and investment funds about public-private partnerships to build infrastructureBusiness live – latest updatesRachel Reeves is examining how to attract funds from private investors to accelerate the government’s development of new towns in England. The chancellor has begun talks with some of the UK’s biggest banks and investment funds about building infrastructure for new towns based on public-private partnerships (PPP) – a successor to the much-criticised Tony...
South Koreans vote in local elections seen as gauge of President Lee's first year
South Koreans vote in local elections seen as gauge of President Lee's first year Voters will choose mayors and governors in 16 cities and provinces in a contest widely seen as an assessment of President Lee Jae Myung's first year in office. SEOUL: South Koreans vote on Wednesday (Jun 3) in local elections expected to boost President Lee Jae Myung's ruling Democratic Party, in the first nationwide ballot since his snap presidential election victory last year. Voters will choose mayors and...
Keeping India's growth story intact: 5 lessons from Middle East conflict that should not be ignored
Led by a growing domestic demand and a favourable demographic dividend, the Indian economy and its growth story have been called fundamentally strong by economists. But short-term global economic shocks, like the ongoing Middle East conflict, have the potential to temporarily slow the growth story - a fact that cannot be ignored if India hopes to be among the top three world economies in the coming years. In its latest Economy Watch report, EY has pointed out the need for India to ‘recast...
South Korea ruling party sweeps most seats in local elections but faces losing Seoul
South Korea ruling party sweeps most seats in local elections but faces losing Seoul The loss of Seoul would deliver a symbolic blow to South Korean President Lee Jae Myung despite his party’s broader gains. SEOUL: South Korean President Lee Jae Myung's ruling Democratic Party swept the majority of seats in local elections, early vote counts showed on Thursday (Jun 4), but looked set to lose the crucial Seoul mayoralty amid a controversy over a shortage of ballot papers. Opposition People...
Florida pastor and son’s $8 million Covid fraud case comes to bizarre end
It was one of the strangest Covid fraud cases brought by the Justice Department, with the kind of wild details that seemed ripped from a Hollywood script. There was an $8.4 million pandemic relief loan based on records purportedly signed by a dementia-stricken accountant. Bags of shredded documents were discovered in a Mercedes SUV.
Deadly protests in Pakistan-administered Kashmir: What’s going on?
Deadly protests in Pakistan-administered Kashmir: What’s going on? Experts say the current crisis is part of a deeper, long-running debate about governance in the region. At least 11 people were killed on Sunday during clashes between police and protesters in Pakistan-administered Kashmir’s Rawalakot city, capital of Poonch district, before a major demonstration scheduled by a banned civil society group for Tuesday.