By the completeness theorem of first-order logic, a statement is universally valid if and only if it can be deduced from the axioms, so the can also be viewed as asking for an algorithm to decide whether a given statement is provable from the axioms using the rules of logic.

By the mid-1990s, McLane ( like McMullen before him ) wanted his team out of the Astrodome and was asking the city to build the Astros a new stadium.

By the time he got home, there was a message on his answering machine asking, " Can you come to work tomorrow?

By Spring 1810, President Madison was specifically asking Congress for more appropriations to increase the Army and Navy in preparation for war with Britain.

By 1986, outside organizations had begun asking for X. X10R2 was released in January 1986, then X10R3 in February 1986.

By early 1881 the State Department started responding to criticism of the seal, resulting first in an 1882 centennial commemorative coin, and then with Secretary of State Frederick Frelinghuysen asking for funds to create a new design and dies of both the obverse and reverse on January 11, 1884, after getting estimates of the cost.

By listening and asking questions, the Samaritans volunteers help people explore their feelings and work out their own way forward.

By the account of Irving Hexham, according to Klaus Venter and Hendrick Stoker who were themselves disgruntled members of the secret organization, in 1927 the Broederbond moved to Potchefstroom University, asking that the school would take over leadership of the then-struggling group.

By forming an alliance with the neighbouring County of Hoya and asking for help from the emperor himself the state of Diepholz managed to survive some more decades.

By carefully piecing the clues together and asking astute questions, she always manages to trap the real murderer, who, given the series ' " special guest star " policy, was often played by a famous film or TV personality.

" By the " early 1900s people were asking for the new treat, often with ice cream.

By asking one yes / no question, can you determine the road to Freedom?

By the end of January, Bell began hinting that he was making a significant life decision, but that he would keep it a secret for at least one year, asking listeners to remind him in 2007 to let them in on it.

By 1944 the number of AA groups had grown along with the number of letters being sent to the AA headquarters in New York asking how to handle disputes caused by issues like publicity, religion, and finances.

By 1956 his asking price was £ 25, 000 a film.

By mid-1991, however, falling inflation had reduced WMATA's construction costs so much that the agency said it could build the two final Green Line stations in Prince George's County without asking Congress for additional money.

By September, the campaigners had been able to gather 73, 000 names on petitions asking for the recall of Frazier, Attorney General William Lemke, and Commissioner of Agriculture John Hagan.

The actor, Lee, after being hit with an apple during the performance, stopped and addressed the audience, asking “ By the pow ' rs, is it personal?

By this stage he was asking Simnett to replicate jungle breakbeats at speed on his kit.

By 1986, these policies ranged from Ralph Macchio's practice of giving them away to anyone who wrote a letter asking for one to Mike Higgins ' policy of not awarding them at all.

By asking students to do this, it helps relates the students present knowledge of familiar classroom objects with the unfamiliar concept of a 90 degree right angle.

" By this he was asking what non-diagrammatic properties of the knot complement would characterize alternating knots.

By that time I was director of product development and they were asking me to do things and tell people things that I just didn't like.

By the end of the 20th century, France once again was among the leading economic powers of the world, although by the year 2000 there already was some fraying around the edges: people in France and elsewhere were asking whether France alone, without becoming even more an integral part of a pan-European economy, would have sufficient market presence to maintain its position, and that worker security and those privileges, in an increasingly " Globalized " and " transnational " economic world.

By the time they reach that age, however, Aristotle no longer worries about the evil influence of comedies.

By the time he was under the covers he had forgotten about seeing Kate.

By the time the film was released we were three million dollars over-spent, war was imminent and the public apparently had forgotten all about Mother Cabrini.

By airline from Concord to Burlington is a distance of about 150 miles, counting a slight deviation for the stop at either Barre or Montpelier.

By October the little colony about Fort Douglas ( present-day Winnipeg ) numbered 100.

By fall, 443 survivors of this arduous journey were clustered about Fort Snelling, but most of them were sent on to Galena and St. Louis, with a few going as far as Vevay, Indiana, a notable Swiss center in the United States.

By the 1970s the authors of volumes such as Reinventing Anthropology worried about anthropology's relevance.

By 1980 the infrequency of sightings of Mount Ararat, which looms about sixty kilometers across the Turkish border, became a symbol of worsening air pollution in Yerevan.

By the end of 2010, Armenia ’ s external debt is projected to form about 42 percent of GDP, and 50 percent in 2012.

By this time, Selkirk had grave concerns about the seaworthiness of this vessel.

By the time mission control issued the wake-up call to the crew for flight day two, the spacecraft was approximately away from the Earth, traveling at about.

By using the palette to mask the top area of the display and taking care about when it changes mode it can shift the continuous graphics at the bottom of the display down in two pixel increments because the internal display counter is not incremented on blank scanlines during non-continuous graphics modes.

By about 1400 the full harness of plate armour had been developed in armouries of Lombardy Heavy cavalry dominated the battlefield for centuries in part because of their armour.

By 2007, national branches of the Anthroposophical Society had been established in fifty countries, and about 10, 000 institutions around the world were working on the basis of anthroposophy.

By the late 1960s, the area of LAFTA had a population of 220 million and produced about $ 90 billion of goods and services annually.

By working with Motorola, AMD was able to refine copper interconnect manufacturing to the production stage about one year before Intel.

* Stephen Kuusisto wrote about his experiences as a visually impaired person in Planet of the Blind, and his upcoming memoir, Eavesdropping: A Life By Ear.

By finding how similar two protein sequences are, we acquire knowledge about their structure and therefore their function.

By volume, the red blood cells constitute about 45 % of whole blood, the plasma about 54. 3 %, and white cells about 0. 7 %.

" By about 15: 00 the Swiss had been pushed out of the village into the marshes beyond.

By the summer of 1944, Peleliu Island was occupied by about 11, 000 Japanese of the 14th Infantry Division with Korean and Okinawan laborers.

By the time Esther was written, the foreign power visible on the horizon as a future threat to Judah was the Macedonians of Alexander the Great, who defeated the Persian empire about 150 years after the time of the story of Esther ; the Septuagint version noticeably calls Haman a " bully " ( βουγαῖον ) where the Hebrew text describes him as an Agagite.

By 1908, there was widespread concern about the decline of salmon and sturgeon.