Computational Complexity of Solving Equation Systems by Przemyslaw Broniek

By Przemyslaw Broniek

This quantity considers the computational complexity of identifying even if a method of equations over a hard and fast algebra A has an answer. It examines intimately the 2 difficulties this ends up in: SysTermSat(A) and SysPolSat(A), during which equations are equipped out of phrases or polynomials, respectively. The ebook characterizes these algebras for which SysPolSat may be solved in a polynomial time. to date, stories and their results haven't coated algebras that generate a spread admitting style 1 within the experience of Tame Congruence thought. because unary algebras admit simply variety 1, this ebook makes a speciality of those algebras to take on the most challenge. It discusses a number of features of unary algebras and proves that the Constraint delight challenge for relational buildings is polynomially akin to SysTermSat over unary algebras. The book’s ultimate chapters speak about partial characterizations, current conclusions, and describe the issues which are nonetheless open.

Show description

Read Online or Download Computational Complexity of Solving Equation Systems (SpringerBriefs in Philosophy) PDF

Similar philosophical logic & language books

The Semantics and Proof Theory of the Logic of Bunched Implications (Applied Logic Series)

This can be a monograph approximately common sense. particularly, it offers the mathe­ matical thought of the common sense of bunched implications, BI: I think of Bl's evidence conception, version thought and computation thought. even though, the mono­ graph is additionally approximately informatics in a feeling which I clarify. in particular, it's approximately mathematical versions of assets and logics for reasoning approximately assets.

Georg Wilhelm Friedrich Hegel: Encyclopedia of the Philosophical Sciences in Basic Outline, Part 1, Science of Logic (Cambridge Hegel Translations)

Hegel's Encyclopaedia common sense constitutes the basis of the method of philosophy offered in his Encyclopaedia of the Philosophical Sciences. along with his technological know-how of common sense, it includes the main specific formula of his enduringly influential dialectical process and of the explicit approach underlying his suggestion.

The Art of Thinking

An analytical exam of the function emotional components play within the formula of logical propositions. the generally identified thinker lines underlying motivations in precepts, suggestions and attitudes of recent guy. influenced considering infiltrates, usually dominates, triumphing styles of concept in social, spiritual, cultural or even clinical agencies.

Alfred Tarski and the "Concept of Truth in Formalized Languages": A Running Commentary with Consideration of the Polish Original and the German Translation ... Epistemology, and the Unity of Science)

This publication offers an in depth observation at the vintage monograph by means of Alfred Tarski, and provides a reinterpretation and retranslation of the paintings utilizing the unique Polish textual content and the English and German translations. within the unique paintings, Tarski provides a style for developing definitions of fact for classical, quantificational formal languages.

Additional info for Computational Complexity of Solving Equation Systems (SpringerBriefs in Philosophy)

Sample text

Download PDF sample

Rated 4.25 of 5 – based on 35 votes