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Logic at Botik '89

Symposium on Logical Foundations of Computer Science, Pereslavl-Zalessky, USSR, July 3-8, 1989, Proceedings

The present volume contains the proceedings of Logic at Botik '89, a symposium on logical foundations of computer science organized by the Program Systems Institute of the USSR Academy of Sciences and held at Pereslavl-Zalessky, USSR, July 3-8, 1989. The scope of the symposium was very broad; the topics of interest were: complexity of formal systems, constructive mathematics in computer science, denotational and operational semantics of programs, descriptive complexity, dynamic and algorithmic logics and schematology, formal tools to describe concurrent computations, lambda calculus and related topics, foundations of logic programming, logical foundations of database theory, logics for knowledge representation, modal and temporal logics, type theory in programming, and verification of programs. Thus, the papers in this volume represent many interesting trends in logical foundations of Computer Science, ranging from purely theoretical research to practical applications of theory.

Symposium on Logical Foundations of Computer Science, Pereslavl-Zalessky,
USSR, July 3-8, 1989, Proceedings Albert R. Meyer, Michael A. Taitslin. A
mathematical modeling of pure, recursive algorithms Yiannis. N. Moschovakis*
Department of Mathematics, UCLA ...

Logic and Theory of Algorithms

4th Conference on Computability in Europe, CiE 2008 Athens, Greece, June 15-20, 2008, Proceedings

This book constitutes the refereed proceedings of the 4th International Conference on Computability in Europe, CiE 2008, held in Athens, Greece, in June 2008. The 36 revised full papers presented together with 25 invited tutorials and lectures were carefully reviewed and selected from 108 submissions. Among them are papers of 6 special sessions entitled algorithms in the history of mathematics, formalising mathematics and extracting algorithms from proofs, higher-type recursion and applications, algorithmic game theory, quantum algorithms and complexity, and biology and computation.

We study the satisfiability problem for LTLACK and related decidability problem.
The key result is an algorithm which recognizes theorems of LTLACK (so we
show that LTLACK is decidable), which, as a consequence, also solves the
satisfiability problem. Technique is based on verification of validity for special
normal reduced forms of rules in models of double exponential in the size of rules
. Keywords: linear temporal logic, multi-agent logics,hybrid logics, re- lational
Kripke-Hintikka ...

The Nature of Computation: Logic, Algorithms, Applications

9th Conference on Computability in Europe, CiE 2013, Milan, Italy, July 1-5, 2013, Proceedings

This book constitutes the refereed proceedings of the 9th Conference on Computability in Europe, CiE 2013, held in Milan, Italy, in July 2013. The 48 revised papers presented together with 1 invited lecture and 2 tutorials were carefully reviewed and selected with an acceptance rate of under 31,7%. Both the conference series and the association promote the development of computability-related science, ranging over mathematics, computer science and applications in various natural and engineering sciences such as physics and biology, and also including the promotion of related non-scientific fields such as philosophy and history of computing.

9th Conference on Computability in Europe, CiE 2013, Milan, Italy, July 1-5, 2013
, Proceedings Paola Bonizzoni, Vasco Brattka, Benedikt Löwe. Analytic Root
Clustering: A Complete Algorithm Using Soft Zero Tests⋆ Chee Yap1,⋆⋆,
Michael Sagraloff2, and Vikram Sharma3 1 Courant Institute of Mathematical
Sciences, New York University, New York, NY 10012, U.S.A. ...

Logic Minimization Algorithms for VLSI Synthesis

The roots of the project which culminates with the writing of this book can be traced to the work on logic synthesis started in 1979 at the IBM Watson Research Center and at University of California, Berkeley. During the preliminary phases of these projects, the impor tance of logic minimization for the synthesis of area and performance effective circuits clearly emerged. In 1980, Richard Newton stirred our interest by pointing out new heuristic algorithms for two-level logic minimization and the potential for improving upon existing approaches. In the summer of 1981, the authors organized and participated in a seminar on logic manipulation at IBM Research. One of the goals of the seminar was to study the literature on logic minimization and to look at heuristic algorithms from a fundamental and comparative point of view. The fruits of this investigation were surprisingly abundant: it was apparent from an initial implementation of recursive logic minimiza tion (ESPRESSO-I) that, if we merged our new results into a two-level minimization program, an important step forward in automatic logic synthesis could result. ESPRESSO-II was born and an APL implemen tation was created in the summer of 1982. The results of preliminary tests on a fairly large set of industrial examples were good enough to justify the publication of our algorithms. It is hoped that the strength and speed of our minimizer warrant its Italian name, which denotes both express delivery and a specially-brewed black coffee.

The proof (omitted) follows from the fact that each cube of F must be orthogonal to
all the cubes of F. This translates directly into the statement that each row of M is
a column cover of M. 3.6 Simplify We now illustrate the use of the unate recursive
paradigm to construct a heuristic minimization algorithm, SIMPLIFY. Even though
this is not one of the algorithms of ESPRESSO-II, we discuss it for illustrative
purposes, and also because it has proven to be an extremely valuable algorithm
in ...