The Relative Efficiency of Propositional Proof
... Ifa proof system f2 for L p-simulates a polynomialIy bounded proof systemfl for L, then f2 is alsopolynomially bounded. This is an immediate consequence of the definitions of "proof system" and "polynomially bounded", and the fact that every function in 3 is bounded in length by a polynomial in the ...
... Ifa proof system f2 for L p-simulates a polynomialIy bounded proof systemfl for L, then f2 is alsopolynomially bounded. This is an immediate consequence of the definitions of "proof system" and "polynomially bounded", and the fact that every function in 3 is bounded in length by a polynomial in the ...
proofs in mathematics
... mathematics, all we need to do is to find one case or example where it breaks down. So in (ii), since 9 is not a prime, it is an example that shows that the statement “Every odd number greater than 1 is prime” is not true. Such an example, that counters a statement, is called a counter-example. We s ...
... mathematics, all we need to do is to find one case or example where it breaks down. So in (ii), since 9 is not a prime, it is an example that shows that the statement “Every odd number greater than 1 is prime” is not true. Such an example, that counters a statement, is called a counter-example. We s ...
