Fields of Logic and Computation III Essays Dedicated to Yuri Gurevich on the Occasion of His 80th Birthday 1st edition by Andreas Blass, Patrick Cégielski, Nachum Dershowitz, Manfred Droste, Bernd Finkbeiner – Ebook PDF Instant Download/Delivery: 3030480062, 978- 3030480066
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ISBN 10: 3030480062
ISBN 13: 978-3030480066
Author: Andreas Blass, Patrick Cégielski, Nachum Dershowitz, Manfred Droste, Bernd Finkbeiner
This Festschrift is published in honor of Yuri Gurevich’s 80th birthday. An associated conference, YuriFest 2020, was planned for May 18–20 in Fontainebleau, France, in combination with the 39th Journées sur les Arithmétiques Faibles also celebrating Yuri’s 80th birthday. Because of the coronavirus situation, the conference had to be postponed, but this Festschrift is being published as originally planned. It addresses a very wide variety of topics, but by no means all of the fields of logic and computation in which Yuri has made important progress.
Fields of Logic and Computation III Essays Dedicated to Yuri Gurevich on the Occasion of His 80th Birthday 1st Table of contents:
On Yuri Gurevich
Acknowledging Yuri Gurevich’s contributions to the fields of logic, computer science, and formal methods, particularly around the 80th anniversary of his life and more than 40 years of friendship. This section could reflect personal reflections and anecdotes, illustrating his influence on the community and his significant impact on formal theory.
Technical Papers
A collection of works, often cited for their innovative insights and developments across various subfields of logic, verification, and computation. These papers are emblematic of Gurevich’s intellectual contributions over decades.
State of the Art in Logics for Verification of Resource-Bounded Multi-Agent Systems
An exploration of logical frameworks used to verify properties of multi-agent systems that are constrained by computational resources. This paper might discuss how logic can be used to model the behavior of agents within bounded environments, ensuring correctness in complex, resource-limited settings.
Why Predicative Sets?
This paper likely addresses a foundational topic in mathematical logic and set theory, particularly predicative sets (sets defined without using the full power of set theory). It may investigate the role of predicative sets in formal systems and their relevance in computational contexts.
Functional Thesauri, Classifying Topoi, Unification, and Flatness
A complex paper that might explore formal semantics, the classification of logical structures (topoi), unification in the context of logic, and the concept of flatness in functional languages. It could provide deep insight into the relationship between logic and computer science theory.
Parameterized Parallel Computing and First-Order Logic
This paper might discuss the application of first-order logic to the analysis and design of parallel computing systems. It could focus on parameterized complexity and how logical tools can be used to reason about parallel computation.
Betweenness in Order-Theoretic Trees
An exploration of order theory, particularly the concept of betweenness, which could be used to model relationships within ordered structures such as trees. This paper could touch on the foundational role of order-theoretic concepts in various branches of logic and computer science.
Relativization of Gurevich’s Conjectures
A work likely devoted to examining the relativization technique in logic and computational complexity, applied to Gurevich’s own conjectures. Relativization typically explores how results in complexity theory might change when certain assumptions are added (like oracle machines).
Seventy Years of Computer Science
A historical retrospective reflecting on the development of computer science as seen through Gurevich’s contributions, offering a broad look at how the field has evolved and Gurevich’s pivotal role in it.
Convergence and Nonconvergence Laws for Random Expansions of Product Structures
A more mathematical treatment, possibly discussing how certain product structures expand over time and under various conditions, leading to either convergence or divergence. This could have applications in probability theory, logic, and computational models of randomness.
Medieval Arabic Notions of Algorithm: Some Further Raw Evidence
A historical paper that revisits the roots of modern computing, tracing the development of algorithms and formal procedures in medieval Arabic mathematics. This might highlight the intersection of cultural history and the intellectual origins of algorithmic thinking.
On the Generalized Membership Problem in Relatively Hyperbolic Groups
An advanced work likely discussing group theory, particularly the generalized membership problem in the context of relatively hyperbolic groups. This could be tied to computational problems in abstract algebra.
Identities of the Kauffman Monoid and of the Jones Monoid
This paper likely explores algebraic structures known as monoids, particularly focusing on the Kauffman and Jones monoids, which have applications in topology and knot theory, areas where Gurevich has made contributions.
Relativistic Effects Can Be Used to Achieve a Universal Square-Root (Or Even Faster) Computation Speedup
A speculative and fascinating exploration of the intersection between physics (relativity) and computer science. It might propose how relativistic effects could theoretically lead to computational speedups, challenging traditional views of algorithmic efficiency.
Towards Verifying Logic Programs in the Input Language of clingo
A paper likely discussing practical verification techniques for logic programs, particularly focusing on clingo
, a solver for logic programs. It could provide insights into the challenges of verifying the correctness of logic-based software.
Computing on Lattice-Ordered Abelian Groups
An exploration of lattice theory and group theory in the context of computation. The paper could look at how these mathematical structures can be used in computation, perhaps exploring applications in cryptography, formal logic, or even quantum computing.
The Expressive Power of Temporal and First-Order Metric Logics
This paper could examine the power of combining temporal logic (which deals with time-dependent properties) with metric logics, providing a way to reason about the structure of time in formal systems.
Two First-Order Theories of Ordinals
An advanced study in mathematical logic, exploring two different first-order logical theories used to describe ordinals, which are fundamental in set theory and the study of infinite structures.
Randomness Tests: Theory and Practice
A paper that likely discusses algorithms and methods used to test for randomness, with both theoretical foundations and practical applications. This could have implications for cryptography, machine learning, and statistical modeling.
On Entropic Convergence of Algorithms
A paper on the convergence properties of algorithms, specifically examining how entropy (a measure of disorder or unpredictability) affects algorithmic behavior. This might connect with fields like information theory, machine learning, and statistical mechanics.
The Power of Spreadsheet Computations
A lighter, yet insightful work possibly discussing the computational power of spreadsheet-based tools. This could highlight how tools like Excel and similar platforms have become unexpectedly powerful for certain computational tasks.
Non-Algorithmic Theory of Randomness
A philosophical or theoretical paper exploring the concept of randomness in computation, proposing models or frameworks for understanding randomness that do not rely on traditional algorithmic methods.
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