0.0.1 Example. Russell’s Paradox We represent sets either by listing, • {0} • {$,#,3,42} • {0,1,2,3,4,…} or by “defining property”: The set of all objects x that make P(x) true, in symbols S = {x : P (x)} (1) As we know from high-school, (1) says the same thing, or as we say, is equivalent […]
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COMP2012 Object-Oriented Programming and Data Structures Topic 10: rvalue Reference and Move Semantics Dr. Desmond Tsoi Department of Computer Science & Engineering The Hong Kong University of Science and Technology Hong Kong SAR, China Rm 3553, desmond@ust.hk COMP2012 (Fall 2020) 1 / 36 Review: lvalue & rvalue of a Variable A variable is a symbolic
Advanced Network Technologies Review Dr. Wei Bao | Lecturer School of Computer Science Protocol Stack application transport network link physical › application: supporting network applications – FTP, SMTP, HTTP › transport: process-process data transfer – TCP,UDP › network: routing of datagrams from source to destination – IP, routing protocols › link: data transfer between neighboring
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Advanced Networks Transport layer: TCP Dr. Wei Bao | Lecturer School of Computer Science Pipelined protocols: overview Go-back-N: ›sender can have up to N unacked packets in pipeline › receiver only sends cumulative ack – does not ack packet if there is a gap › sender has timer for oldest unacked packet – when timer
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Worth quoting from previous lecture-PDF that we saw earlier: 0.0.1 Theorem. If Γ ⊢ X ≡ Y , then also Γ ⊢ (∀x)X ≡ (∀x)Y , as long as Γ does not contain wff with x free. 0.0.2 Theorem. If ⊢ A ≡ B, then ⊢ (∀x)A ≡ (∀x)B. 0.0.3 Metatheorem. (Weak (1st-order) Leibniz
程序代写代做代考 C graph go Worth quoting from previous lecture-PDF that we saw earlier: Read More »
You already know that removing a leading ∀ “uncovers” (in general†) “Boolean structure” which is amenable to proofs “by Post”. It would be a shame if we did not have techiques to remove a leading ∃. We DO have such a technique! Read on. 0.0.1 Metatheorem. (Aux. Hypothesis Metatheorem) Suppose that Γ ⊢ (∃x)A. Moreover,
A Subset of the URM Language; FA and NFA 0.0.1 Definition. If M is a FA, then its L(M) is called the regular set associated with M, or even the reg- ular language recognised/accepted (decided, actually) by M. This Note continues from where Note #9 left but we will present first a few more simple
程序代写代做代考 AI C graph go flex A Subset of the URM Language; FA and NFA Read More »
0.1. A THEORY OF COMPUTABILITY 1 Lecture Notes #2. 0.1 A Theory of Computability Computability is the part of logic and theoretical computer science that gives a mathematically precise formulation to the concepts algorithm, mechanical procedure, and calculable/computable function. 2 The advent of computability was strongly motivated, in the 1930s, by Hilbert’s program to found
Advanced Network Technologies Week 2: Network performance Network application Dr. Wei Bao | Lecturer School of Computer Science Network Performance: Throughput Throughput › throughput: rate (bits/time unit) at which bits transferred between sender/receiver – instantaneous: rate at given point in time – average: rate over longer period of time server, with link capacity file of
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Lecture #13, Oct. 30 Resolution Easy and self-documenting 2-dimensional proofs. The technique is used in the “automatic theorem proving”, i.e., special computer systems (programs) that prove theorems. It is based on proof by contradiction metatheorem: 0.0.1 Metatheorem. iff Γ, ¬A ⊢ ⊥ (1) Γ⊢A (2) Thus, instead of proving (2) prove (1). (1) is proved
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