Computation Engineering Applied Automata Theory And Logic
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Computation Engineering
Author: Ganesh Gopalakrishnan
language: en
Publisher: Springer Science & Business Media
Release Date: 2006-09-10
It takes more e?ort to verify that digital system designs are correct than it does to design them, and as systems get more complex the proportion of cost spent on veri?cation is increasing (one estimate is that veri?cation complexity rises as the square of design complexity). Although this veri?cation crisis was predicted decades ago, it is only recently that powerful methods based on mathematical logic and automata theory have come to the designers’ rescue. The ?rst such method was equivalence checking, which automates Boolean algebra calculations.Nextcamemodelchecking,whichcanautomatically verify that designs have – or don’t have – behaviours of interest speci?ed in temporal logic. Both these methods are available today in tools sold by all the major design automation vendors. It is an amazing fact that ideas like Boolean algebra and modal logic, originating frommathematicians andphilosophersbeforemodern computers were invented, have come to underlie computer aided tools for creating hardware designs. The recent success of ’formal’ approaches to hardware veri?cation has lead to the creation of a new methodology: assertion based design, in which formal properties are incorporated into designs and are then validated by a combination of dynamic simulation and static model checking. Two industrial strength property languages based on tem- ral logic are undergoing IEEE standardisation. It is not only hardwaredesignand veri?cation that is changing: new mathematical approaches to software veri?cation are starting to be - ployed. Microsoft provides windows driver developers with veri?cation tools based on symbolic methods.
Automata and Computability
Automata and Computability is a class-tested textbook which provides a comprehensive and accessible introduction to the theory of automata and computation. The author uses illustrations, engaging examples, and historical remarks to make the material interesting and relevant for students. It incorporates modern/handy ideas, such as derivative-based parsing and a Lambda reducer showing the universality of Lambda calculus. The book also shows how to sculpt automata by making the regular language conversion pipeline available through a simple command interface. A Jupyter notebook will accompany the book to feature code, YouTube videos, and other supplements to assist instructors and students Features Uses illustrations, engaging examples, and historical remarks to make the material accessible Incorporates modern/handy ideas, such as derivative-based parsing and a Lambda reducer showing the universality of Lambda calculus Shows how to "sculpt" automata by making the regular language conversion pipeline available through simple command interface Uses a mini functional programming (FP) notation consisting of lambdas, maps, filters, and set comprehension (supported in Python) to convey math through PL constructs that are succinct and resemble math Provides all concepts are encoded in a compact Functional Programming code that will tesselate with Latex markup and Jupyter widgets in a document that will accompany the books. Students can run code effortlessly href="https://github.com/ganeshutah/Jove.git/"here.
Mathematical Logic for Computer Science
Author: Mordechai Ben-Ari
language: en
Publisher: Springer Science & Business Media
Release Date: 2012-06-16
Mathematical Logic for Computer Science is a mathematics textbook with theorems and proofs, but the choice of topics has been guided by the needs of students of computer science. The method of semantic tableaux provides an elegant way to teach logic that is both theoretically sound and easy to understand. The uniform use of tableaux-based techniques facilitates learning advanced logical systems based on what the student has learned from elementary systems. The logical systems presented are: propositional logic, first-order logic, resolution and its application to logic programming, Hoare logic for the verification of sequential programs, and linear temporal logic for the verification of concurrent programs. The third edition has been entirely rewritten and includes new chapters on central topics of modern computer science: SAT solvers and model checking.