Chapter 2: Boolean Algebra and Logic Gates
... • Comparing Boolean algebra with arithmetic and ordinary algebra 1. Huntington postulates do not include the associative law. However, this law holds for Boolean algebra and can be derived (for both operators) from the other postulates. 2 The distributive law of + over • (i.e., ...
... • Comparing Boolean algebra with arithmetic and ordinary algebra 1. Huntington postulates do not include the associative law. However, this law holds for Boolean algebra and can be derived (for both operators) from the other postulates. 2 The distributive law of + over • (i.e., ...
Logic - Mathematical Institute SANU
... connectives and, or, if, if and only if and not, which are studied in propositional logic, and the quantifier expressions for every and for some, and identity (i.e. the relational expression equals), which, together with the connectives, are studied in predicate logic. If logic is indeed the theory ...
... connectives and, or, if, if and only if and not, which are studied in propositional logic, and the quantifier expressions for every and for some, and identity (i.e. the relational expression equals), which, together with the connectives, are studied in predicate logic. If logic is indeed the theory ...
... Two sets A and B are said to be overlapping if they contain at least one element in common. For example; • A = {a, b, c, d} B = {a, e, i, o, u} • X = {x : x ∈ N, x < 4} Y = {x : x ∈ I, -1 < x < 4} Here, the two sets contain three elements in common, i.e., (1, 2, 3) Subset: If A and B are two sets, a ...
On the Representation of Numbers in a Rational Base
... Every integer has a unique such expansion. The set of expansions of the integers is not a regular language but nevertheless addition can be performed by a letter-to-letter finite right transducer. Every real number has at least one such expansion and a countable infinite set of them have more than o ...
... Every integer has a unique such expansion. The set of expansions of the integers is not a regular language but nevertheless addition can be performed by a letter-to-letter finite right transducer. Every real number has at least one such expansion and a countable infinite set of them have more than o ...
1. Kripke`s semantics for modal logic
... Some philosophers have distinguished between essentialism, the belief in modality de re, and a mere advocacy of necessity, the belief in modality de dicto. Now, some people say: Let’s give you the concept of necessity. A much worse thing, something creating great additional problems, is whether we c ...
... Some philosophers have distinguished between essentialism, the belief in modality de re, and a mere advocacy of necessity, the belief in modality de dicto. Now, some people say: Let’s give you the concept of necessity. A much worse thing, something creating great additional problems, is whether we c ...