This monograph covers an wide range of topics including boolean functions and boolean circuit families, propositional proof systems, sequential and parallel models of computation, and function algebras. Binary logicdealing with true and false comes in handy to. Computer science focuses on processes that involve abstract information rather than physical things. Pdf logic in computer science modelling and reasoning. Some of the key areas of logic that are particularly significant are computability theory formerly called recursion. The university of texas at dallas computer science boolean. This text presents the formal concepts underlying computer science. Logic for computer science and artificial intelligence.
Second edition, cambridge university press, 2004ref8. Logical methods in computer science, volume 11, issue 1 march 31, 2015 lmcs. Simply put, a proof is a method of establishing truth. Foundations of automatic theorem proving second edition jean gallier a corrected version of the original wiley edition pp. Digital logic designers build complex electronic components that use both electrical and. Essential logic for computer science the mit press. Download mathematical logic for computer science pdf ebook. An introduction to applying predicate logic to testing and verification of software and digital circuits that focuses on applications rather than theory. Basic logic gates logic gates 1 department of computer. Mathematical logic for computer science is a mathematics textbook, just as a. The notion of a proof plays a central role in this work. Digital logic design computer architecture research. On the unusual effectiveness of logic in computer science.
The goal is to prepare the students for using logic as a formal tool in computer. Dover books on computer science this dover edition. Computer scientists use logic for testing and verification of. Logic in computer science by huth and ryan is an exceptional book. The handbook of logic in computer science is a six volume, internationally authored work which offers a comprehensive treatment of the application of the concepts of logic to theoretical computer science. Certainly classical predicate logic is the basic tool of.
Propositional logic the aim of logic in computer science is to develop languages to model the situations we encounter as computer science professionals, in such a way that we can reason about them. Moreover, its importance in computer science has come of age see 14 for a brief introduction to modal logic from the computer science point of view. Logic for computer science and artificial intelligence is the classroomtested result of several years of teaching at grenoble inp ensimag. However, using it as an introduction on logic for computer scientists is probably ambitious because the explanations are. This advanced text for undergraduate and graduate students introduces mathematical logic with an emphasis on proof theory and procedures for algorithmic construction of formal proofs. Every terminal in a logic gate will always be in one of the two binary states 0 or 1. In addition to propositional and predicate logic, it has a particularly thorough treatment of temporal logic and model checking.
The coverage of this book is quite good for what concerns logic in computer science. Logic in computer science authorstitles recent submissions. Fore systems professor of computer science carnegie mellon university pittsburgh, pa formal methods have. Logic plays a fundamental role in computer science. Digital logic is the representation of signals and sequences of a digital circuit through numbers. Recent years have seen the development of powerful tools for verifying hardware and software systems, as. The material is taught from a computerscience perspective, with an emphasis on algorithms for automated reasoning. It starts with a wide introduction to logic with an emphasis on reasoning and proof, with chapters on program verification. Logic is also useful in understanding and designing query languages for databases, particularly for relational databases. It presents applications and themes of computer science research such as resolution, automated deduction, and logic programming in a rigorous but readable way.
Digital logic design is foundational to the fields of electrical engineering and computer engineering. Boolean functions and computation models by clote and kranakis. Eacsl european association for computer science logic. If youre looking for a free download links of mathematical logic for computer science pdf, epub, docx and torrent then this site is not for you. This is just one of the solutions for you to be successful. Our goal in this article is to illustrate the effectiveness of logic in computer. Logic in computer science has to fulfil several tasks. Logic is a branch of science that studies correct forms of reasoning. A scientist or engineer needs more than just a facility for manipulating. Websters ii new riverside university dictionary 1984. Combinational logic output depends only on the inputs. Computer scientists use logic for testing and verification of software and digital circuits, but many computer science students study logic only in the context of traditional mathematics, encountering the subject in a few lectures and a.
Algorithm has ceased to be used as a variant form of the older word. The eacsl promotes computer science logic in the areas of scientific research and education. Logic is used for databases or for creating artificial. Logic operations and truth tables digital logic circuits handle data encoded in binary form, i. The boundaries between the physical world and pure information processes, however, are often fuzzy. There are two classes of digital or computer logic. This monograph covers an wide range of topics including. These binary states represent the presence 1, or absence 0, of an. Pdf on jan 1, 1990, steve reeves and others published logic for computer science find, read and cite all the research you need on researchgate. We believe, however, that a glance at the wide variety of.
This course provides a sound basis in logic and a short introduction to some logical frameworks used in modelling, specifying and verifying computer systems. We believe, however, that a glance at the wide variety of ways in which logic is used in computer science fully justifies this approach. Pdf logic for computer science steve reeves academia. Computer science logic is an interdisciplinary field between mathematical logic and computer science. Like beauty, truth sometimes depends on the eye of the. First of all, it is a tool with which computer programs can describe the world. In addition to propositional and predicate logic, it has a particularly thorough.
142 1467 906 710 73 1316 1032 196 677 1083 119 758 938 1001 750 1589 1605 1386 175 407 362 1192 1536 640 337 1234 636 652 785 336 545 603 488