EQUATIONS AND REWRITE RULES A Survey - Stanford InfoLab
Equations occur frequently in mathematics, logic and computer science. in this ... Reasoning about equations may involve deciding if an equation follows from a given ... This research was supported by the National Science Foundation under ...
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Mathematics for Computer Science - Harvard John A. Paulson
Nov 11, 2012 ... Department of Electrical Engineering and Computer Science .... 13.2 Reasoning About While Programs 410 .... [Euler's Conjecture] The equation .... ZFC axioms are important in studying and justifying the foundations of math-.
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Equational Reasoning about Programs with General Recursion and
constructs to facilitate sound reasoning about potentially unsound programs. ...... J. Becvr, editor, Mathematical Foundations of Computer Science 1979,.
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Basic Proof Skills of Computer Science Students
Computer science students need mathematical proof skills. At our University ... Discrete mathematics and mathematical logic are foundations of the core of Com- ... The aspects that we consider are basic equational reasoning and induction.
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Equational reasoning in Isabelle - ScienceDirect.com
Science of Computer Programming 12 (1989) 123-149 123 North-Holland ... A first explanation of the principles Equational reasoning in Isabelle 125 ... Meanwhile Isabelle has been extended significantly and both the foundations described in ..... sufficiently close to ordinary mathematics to make this rule self- explanatory: ...
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Notes on Discrete Mathematics CS 202: Fall 2013 - Computer Science
Mar 19, 2016 ... CS 202: Fall 2013. James Aspnes ... 1 Introduction. 1. 1.1 So why do I need to learn all this nasty mathematics? . . . . 1 ... 1.4.1 Foundations and logic . ...... B.1.2 A system of equations (20 points) . . . . . . . . . . . 306. B.1.3 A ..... Introduction to formal methods for reasoning and to mathematical tech- niques basic ...
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Mathematical Synthesis of Equational Deduction Systems
Equational Deduction Systems ... Computer Laboratory, University of Cambridge ... tures for modelling computations, and logics for reasoning about properties of ... forth a mathematical methodology for the synthesis of equational and rewriting ... the 24th Conference on the Mathematical Foundations of Programming ...
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Set Theory for Computer Science (pdf )
Oct 11, 2010 ... Russell and Whitehead, to build a foundation for all of Mathematics on Logic. Though to be more ... formalising and reasoning about computation and the objects of computation. Set Theory is indivisible from Logic where Computer Science has its roots. ..... to both sides of the corresponding equation yields.
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A Revolution in the Art of Effective Reasoning - School of Computer
Oct 24, 2001 ... foundation. It is true that there .... all, undergraduate degrees in mathematics and computing science will in- clude some training in ... equational reasoning in logic rather than the traditional emphasis on logical implication.
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The Practice of Logical Frameworks - Carnegie Mellon School of
ceptual tool in mathematical logic and computer science. They are used to ... of Landau's Foundations of Analysis [Jut77]. In the early 80's ... much difficulty, the meta-languages based on equational reasoning take a rather different form and ...
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CV - Harley Eades III
Bachelor of Science in Applied Mathematics and Computer Science, Millikin ... Equational Reasoning about Programs with General Recursion and ... Foundations of Computer Science (LFCS), Deerfield Beach, Florida, United States, Jan.
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MFOCS Course Synopses 10.02.16.pdf - Mathematical Institute
3.8 Foundations of Computer Science — Prof Paul Goldberg — 16MT . .... The Gamma function, the functional equation for ζ(s), the value of ζ(s) at negative integers. ...... Another important aspect is that set-theoretic reasoning with elements is ...
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A Categorical Manifesto - Department of Computer Science
conclude!! with a brief discussion of some implicatioD8 for foundations. ... the reasons why a computing scientist might be interested in category theory ... recommended for those with sufficient mathematics background, and .... diagram provides a basis for a purely diagramatic style of reasoning ..... equation .and solution.
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Concrete mathematics : a foundation for computer science / Ron- .... nique rather than on existence theorems or combinatorial reasoning; the goal is for each ..... equation alone as a recurrence, although technically it needs a boundary value.
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An Algebraic Presentation of Term Graphs, via GS-Monoidal
Ariola, Z. M. and Klop, J. W.: Equational term graph rewriting, Fund. ... Mathematical Foundations of Computer Science, Lecture Notes in Comput. Sci. ... Lafont, Y.: Equational reasoning with 2-dimensional diagrams, in H. Comon and J.-P.
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Concrete mathematics : a foundation for computer science / Ronald .... nique rather than on existence theorems or combinatorial reasoning; the goal ..... equation alone as a recurrence, although technically it needs a boundary value.
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Kleene Algebra with Tests - Department of Computer Science
give a purely equational proof, using Kleene algebra with tests and ... Logics and Meanings of Programs]: Specifying and Verifying and Reasoning about Pro- ... The support of the National Science Foundation under grant CCR-9317320 is ...... Bloom, S. L. and Esik, Z. 1993. Equational axioms for regular sets. Math. Struct.
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logic for computer science - Department of Computer Science
Basically, logic is about formalizing language and reasoning, and computer science addresses ... programming, but also as a foundation for mathematics itself. This ought to ... (c) The equation E=mc2 holds in Special Relativity. (d) There is no ...
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proceedings - Computer Science
Jun 2, 2015 ... Sound and Complete Equational Reasoning over Comodels . .... the Mathematical Foundations of Programming Semantics (MFPS XXXI). The.
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Aaron D. Stump - College of Liberal Arts & Sciences, The University
CS:5850:0001, “Programming Language Foundations”. 11 .... CSE 240, “Logic and Discrete Mathematics for Computer Science”. 24. Fall 2007 ... Equational Reasoning about Programs with General Recursion and Call-by-value Semantics. *.
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