'Iff' diaporamas de présentation

MAT 7003 : Mathematical Foundations (for Software Engineering) J Paul Gibson, A207

MAT 7003 : Mathematical Foundations (for Software Engineering) J Paul Gibson, A207 paul.gibson@it-sudparis.eu http://www-public. it-sudparis.eu /~gibson/Teaching/MAT7003/. Logic http://www-public.it-sudparis.eu/~ gibson/Teaching/MAT7003/L4-Logic.pdf.

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Formal Language and Automata Theory

Formal Language and Automata Theory. Cheng-Chia Chen September 2005. Course Information. Textbook: Automata and Computability, By D.C. Kozen, Springer-Verlag, Feb. 1997. References:

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LTL Decidability

LTL Decidability. Enables consistency check, but also base for verification. A set is decidable if there is an effective procedure to decide whether an arbitrary element is a member of the set, or not. Effective Decision Procedure ? Termination .

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Formal Language and Automata Theory

Formal Language and Automata Theory. Cheng-Chia Chen September 2011. Course outlines. Introduction: Mathematical preliminaries: sets, relations, functions,sequences, graphs, trees, proof by induction, definition by induction (recursion). Basics of formal languages:

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Advanced Theory of Computation

Advanced Theory of Computation. Course outlines. Automata theory, formal languages, Turing machines, computability theory and reducibility, computational complexity, determinism, non-determinism, time hierarchy, space hierarchy, NP completeness, selected advanced topics.

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Chapter 19: Non-additive representations

Bennett Holman Foundations of Measurement. Chapter 19: Non-additive representations. What is essential nonadditivity. The fact that a representation is nonadditive is not sufficient to infer that an additive representation does not exist.

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TF truth, falsity, and indeterminacy

TF truth, falsity, and indeterminacy. P is truth-functionally true iff it has the value T for any truth-value assignment. P is truth-functionally false iff it has the value F for any truth-value assignment. P is tf-false iff ~P is tf-true

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Chapter 2

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Finite monoids, regular languages, circuit complexity and logic

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Chapter 2

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MUBs and some other quantum designs

MUBs and some other quantum designs. Aleksandrs Belovs and Juris Smotrovs. Outline of the talk. Combinatorial designs Optimal quantum measurement problem (MUBs, SIC POVMs) Quantum designs MUBs and SIC POVMs as quantum designs Links with problems in combinatorics Conclusion.

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Chapter 3

Chapter 3. By Glen Harlan & Marissa Hirakawa. Lesson 1: Number Operations and Equality. The Reflexive Property a = a The Substitution Property If a = b, then a can be substituted for b in any expression. The Addition Property If a = b, then a+c = b+c The Subtraction Property

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Innovations in Financing

Innovations in Financing. Creating a Continuum of Financing Options for Education. Welcome to IFF. Agenda. IFF Overview Challenges to Charter School Finance Creating a Continuum of Charter School Finance Charter Financing in the Current Climate Q & A. IFF Overview.

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First-Order Logic Semantics

First-Order Logic Semantics. Reading: Chapter 8, 9.1-9.2, 9.5.1-9.5.5 FOL Syntax and Semantics read: 8.1-8.2 FOL Knowledge Engineering read: 8.3-8.5 FOL Inference read: Chapter 9.1-9.2, 9.5.1-9.5.5 (Please read lecture topic material before and after each lecture on that topic). Outline.

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Fast Arithmetics

Fast Arithmetics. Full Adder. B i. A i. Cin. Cout. S i. Note: MSB is rightmost. Carry Ripple Adder. A 0. B 0. A 1. B 1. A 2. B 2. A 3. B 3. C 0 =0. C 1. C 2. C 3. C 4. S 0. S 1. S 2. S 3. Reduction. Changing the goal to: Calculate the Carry vector

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abortion

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Translating Iff

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