IOSR Journal of VLSI and Signal Processing (IOSR-JVSP)
... Carbon Nanotube Field-Effect Transistors (CNFETs) are considered to be promising candidate devices for future technology nodes due to their superior electrostatic and transport properties.CNTs are sheets of graphene rolled into tubes, depending on the chirality (i.e., the direction in which the grap ...
... Carbon Nanotube Field-Effect Transistors (CNFETs) are considered to be promising candidate devices for future technology nodes due to their superior electrostatic and transport properties.CNTs are sheets of graphene rolled into tubes, depending on the chirality (i.e., the direction in which the grap ...
Logic gate - Wikipedia, the free encyclopedia
... AND, OR and NOT would do. In fact the NAND has the lowest component count of any gate apart from NOT when implemented using modern semiconductor techniques, and since a NAND can implement both a NOT and, by application of De Morgan's Law, an OR function, this single type can effectively replace AND, ...
... AND, OR and NOT would do. In fact the NAND has the lowest component count of any gate apart from NOT when implemented using modern semiconductor techniques, and since a NAND can implement both a NOT and, by application of De Morgan's Law, an OR function, this single type can effectively replace AND, ...
An Abridged Report - Association for the Advancement of Artificial
... *Although obviously important, we do not attempt here to deal with relevance, or which beliefs are about what. 5To a first app roximation, these can be thought of as the fixedpoints of McDermott and Doyle’s logic, or the extensions of Reiter’s. ...
... *Although obviously important, we do not attempt here to deal with relevance, or which beliefs are about what. 5To a first app roximation, these can be thought of as the fixedpoints of McDermott and Doyle’s logic, or the extensions of Reiter’s. ...
Dissolving the Scandal of Propositional Logic?
... Now, I do agree with Valk that the adjunctive interpretation3 of material implication forces us to accept that [1*]-[2*] and therefore [1]-[2] is logically valid. After all, this interpretation of material implication is directly linked to the characteristic truth table of material implication, whic ...
... Now, I do agree with Valk that the adjunctive interpretation3 of material implication forces us to accept that [1*]-[2*] and therefore [1]-[2] is logically valid. After all, this interpretation of material implication is directly linked to the characteristic truth table of material implication, whic ...
G43064245
... the pre-charge pulse inherent in domino logic gates .The proposed PDB-based implementation over comes this problem using the circuit structure shown in Fig 3.In the proposed implementation of the buffer,the source of the buffer’s NMOS transistor M5 is connected to node B instead of Gnd. Using such a ...
... the pre-charge pulse inherent in domino logic gates .The proposed PDB-based implementation over comes this problem using the circuit structure shown in Fig 3.In the proposed implementation of the buffer,the source of the buffer’s NMOS transistor M5 is connected to node B instead of Gnd. Using such a ...
On the Finite Model Property in Order-Sorted Logic
... of the user-provided bounds on the other sorts). The conditions defining this fragment are not directly comparable to ours, but in some respects constrain the sentences rather severely. For example existential quantification in the scope of more than one universal quantifier are usually not allowed. ...
... of the user-provided bounds on the other sorts). The conditions defining this fragment are not directly comparable to ours, but in some respects constrain the sentences rather severely. For example existential quantification in the scope of more than one universal quantifier are usually not allowed. ...
Predicate logic
... Let a, b ∈ Z s.t. a and b are odd. Then by definition of odd a = 2m + 1.m ∈ Z and b = 2n + 1.n ∈ Z So ab = (2m + 1)(2n + 1) = 4mn + 2m + 2n + 1 = 2(2mn + m + n) + 1 and since m, n ∈ Z it holds that (2mn + m + n) ∈ Z, so ab = 2k + 1 for some k ∈ Z. Thus ab is odd by definition of odd. QED ...
... Let a, b ∈ Z s.t. a and b are odd. Then by definition of odd a = 2m + 1.m ∈ Z and b = 2n + 1.n ∈ Z So ab = (2m + 1)(2n + 1) = 4mn + 2m + 2n + 1 = 2(2mn + m + n) + 1 and since m, n ∈ Z it holds that (2mn + m + n) ∈ Z, so ab = 2k + 1 for some k ∈ Z. Thus ab is odd by definition of odd. QED ...
PDF
... other techniques are to be employed to reduce power consumption and delay. In a domino logic circuit a keeper transistor is used as leaving the dynamic node floating induces problems of leakage and charge sharing. A conventional approach to increase reliability is sizing the keeper transistor. For k ...
... other techniques are to be employed to reduce power consumption and delay. In a domino logic circuit a keeper transistor is used as leaving the dynamic node floating induces problems of leakage and charge sharing. A conventional approach to increase reliability is sizing the keeper transistor. For k ...
On presenting monotonicity and on EA=>AE (pdf file)
... of [1], Dijkstra and Scholten discuss the monotonic properties of negation and implication. But they don’t state the general theorem (5) and they don’t give a convention for indicating its use. On page 93 of [1], a hint explicitly states the use of monotonicity of ∧ and ∃ in a weakening step, but on ...
... of [1], Dijkstra and Scholten discuss the monotonic properties of negation and implication. But they don’t state the general theorem (5) and they don’t give a convention for indicating its use. On page 93 of [1], a hint explicitly states the use of monotonicity of ∧ and ∃ in a weakening step, but on ...
Problem_Set_01
... 9. You have proved before that a truth table with n variables has 2n rows. a. How many different Boolean functions with n variables are there? b. For n=2, list all the functions and identify as many as you can by name. 10. Prove by induction that for n>4, 2n>n2. 11. Guess the number of different wa ...
... 9. You have proved before that a truth table with n variables has 2n rows. a. How many different Boolean functions with n variables are there? b. For n=2, list all the functions and identify as many as you can by name. 10. Prove by induction that for n>4, 2n>n2. 11. Guess the number of different wa ...
Integrating Linear and Dependent Types
... a program, and dependent types permit variables to occur in both types and terms, how should we count occurrences of variables in types? The key observation underpinning our approach is that we do not have to answer this question! We build on the work of Benton [7], which formulated models of intuit ...
... a program, and dependent types permit variables to occur in both types and terms, how should we count occurrences of variables in types? The key observation underpinning our approach is that we do not have to answer this question! We build on the work of Benton [7], which formulated models of intuit ...
Curry–Howard correspondence
In programming language theory and proof theory, the Curry–Howard correspondence (also known as the Curry–Howard isomorphism or equivalence, or the proofs-as-programs and propositions- or formulae-as-types interpretation) is the direct relationship between computer programs and mathematical proofs. It is a generalization of a syntactic analogy between systems of formal logic and computational calculi that was first discovered by the American mathematician Haskell Curry and logician William Alvin Howard. It is the link between logic and computation that is usually attributed to Curry and Howard, although the idea is related to the operational interpretation of intuitionistic logic given in various formulations by L. E. J. Brouwer, Arend Heyting and Andrey Kolmogorov (see Brouwer–Heyting–Kolmogorov interpretation) and Stephen Kleene (see Realizability). The relationship has been extended to include category theory as the three-way Curry–Howard–Lambek correspondence.