New Integer Sequences Arising From 3
... above, and a1 = 1, the sequence kr , k1 , k2 ,. . . kr−1 , (or any cyclic permutation of this sequence) when used as consecutive exponents in the sequence DU DU DU DU · · · encodes a folding procedure that produces tape which can be used to construct a regular b-gon. If you fail to stop when the sym ...
... above, and a1 = 1, the sequence kr , k1 , k2 ,. . . kr−1 , (or any cyclic permutation of this sequence) when used as consecutive exponents in the sequence DU DU DU DU · · · encodes a folding procedure that produces tape which can be used to construct a regular b-gon. If you fail to stop when the sym ...
Propositional Statements Direct Proof
... Given p → q, suppose that q is not true and p is true to deduce that this is impossible. In other words, we want to show that it is impossible for our hypothesis to occur but the result to not occur. We always begin a proof by contradiction by supposing that q is not true (¬q) and p is true. Example ...
... Given p → q, suppose that q is not true and p is true to deduce that this is impossible. In other words, we want to show that it is impossible for our hypothesis to occur but the result to not occur. We always begin a proof by contradiction by supposing that q is not true (¬q) and p is true. Example ...
Proofs - Arizona State University
... • If you find yourself making an argument using only words - stop. Look for mathematical ideas to convey your reasoning. Look at many mathematical proofs. Frequently they only contain English words like: for all, there exists, since, then, because, therefore, it follows, we see, hence... A mathematic ...
... • If you find yourself making an argument using only words - stop. Look for mathematical ideas to convey your reasoning. Look at many mathematical proofs. Frequently they only contain English words like: for all, there exists, since, then, because, therefore, it follows, we see, hence... A mathematic ...
ppt - UBC Computer Science
... Without loss of generality, let x be any element of D (or an equivalent expression like those shown on next page) Verify that the predicate P holds for this x. o Note: the only assumption we can make about x is the fact that it belongs to D. So we can only use properties common to all elements o ...
... Without loss of generality, let x be any element of D (or an equivalent expression like those shown on next page) Verify that the predicate P holds for this x. o Note: the only assumption we can make about x is the fact that it belongs to D. So we can only use properties common to all elements o ...
lecture notes
... Socrates is a Greek. Therefore, Socrates is a philosopher. This conclusion seems to be perfectly correct, and quite obvious to us. However, we cannot justify it rigorously since we do not have any rule of inference. When the chain of implications is more complicated, as in the example below, a forma ...
... Socrates is a Greek. Therefore, Socrates is a philosopher. This conclusion seems to be perfectly correct, and quite obvious to us. However, we cannot justify it rigorously since we do not have any rule of inference. When the chain of implications is more complicated, as in the example below, a forma ...
A Proof Theory for Generic Judgments: An extended abstract
... power to intuitionistic logic. For example, defR is essentially the backchaining rule found in logic programming, while defL is essentially a case analysis on how an atom can be proved and can be used to establish finite failure. Together, these two rules can be used to encode simulation ...
... power to intuitionistic logic. For example, defR is essentially the backchaining rule found in logic programming, while defL is essentially a case analysis on how an atom can be proved and can be used to establish finite failure. Together, these two rules can be used to encode simulation ...
