A tableau is a refutation-based decision procedure for a related logic, and is among the most popular proof procedures for modal logics.
A popular "proof is in the pudding" argument is often made, especially by consultants themselves; the argument goes that since attorneys and clients pay such high fees (sometimes as much as $500,000) for consultants, their services must be effective.
But as hamfisted and obvious as it is, it also veers into casual cruelty at times last weekend's cold open included jokes about Melania Trump wanting her husband to go to prison (a repetition of a popular proof-free Resistance narrative) and Vice President Mike Pence trying to have phone sex with men.
As with so much popular science, "Proof" wants to tickle us by glamorizing the intensity of mathematical thought, with its notoriously short burn and other risks, but doesn't dare to frighten or offend the customers by actually showing them, however briefly, what such thinking might look like.
"Sometimes I find things at cask strength are even smoother than comparable products at regular strength," said Jonathan Goldstein, an owner of the Park Avenue Liquor Shop, which carries popular high-proof renditions from the Scotch makers Laphroaig and Aberlour, as well as many offerings exclusive to the store.
Others view the show's popularity as proof of the debasement of American popular culture.
Moreover, the body counts of popular movies is proof positive that we Americans -- even peace-loving liberals -- have some anger issues.
Opera ★ 'La Bohème' (Friday and Tuesday) Under Peter Gelb's management the Met may be replacing some grandiose Franco Zeffirelli productions, but not his colorful, popular and critic-proof staging of Puccini's "Bohème," which has been around for 30 years.
(Steve Smith)20100225 'LA BOH?E' (Saturday and Tuesday) Puccini's ailing Left Bank Parisian seamstress Mimi remains a signature role for Anna Netrebko, who sings it in the Metropolitan Opera's current revival of Franco Zeffirelli's lavish, popular and critic-proof production.
Later that month, however, Senegal's Constitutional Council ruled that N'Dour was not eligible to stand in the election, claiming that he had failed to gather the required number of valid signatures that were needed as proof of popular support for his candidacy.
Whether or not your heart sinks (as mine does) at the prospect of art as fodder for an elimination challenge ("Andy Warhol, you're out"), the show is proof of popular interest in art as a process and not simply a product.
