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book (11)


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1987 (11)

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Book
An introduction to model theory
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Year: 1987 Publisher: Novi Sad: University of Novi Sad. Institute of mathematics,

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Model theory


Book
Stability in model theory
Authors: ---
ISBN: 9780470203866 0470203862 Year: 1987 Publisher: Harlow: Longman scientific and technical,

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Model theory --- Stability

An introduction to independence for analysts
Authors: ---
ISBN: 1139884328 1107366313 1107371031 1107361400 1107370094 1299404103 1107363853 0511662254 9781107361409 9780511662256 0521339960 9780521339964 Year: 1987 Publisher: Cambridge : Cambridge University Press,

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Forcing is a powerful tool from logic which is used to prove that certain propositions of mathematics are independent of the basic axioms of set theory, ZFC. This book explains clearly, to non-logicians, the technique of forcing and its connection with independence, and gives a full proof that a naturally arising and deep question of analysis is independent of ZFC. It provides an accessible account of this result, and it includes a discussion, of Martin's Axiom and of the independence of CH.


Book
Classification theory : U.S.-Israel workshop workshop on model theory in mathematical logic, Chicago, Dec. 15-19, 1985
Author:
ISBN: 3540186743 0387186743 3540480498 9783540186748 Year: 1987 Volume: 1292 Publisher: Berlin Heidelberg Tokyo Springer


Book
Computability
Author:
ISBN: 3540137211 0387137211 3642699677 3642699650 9780387137216 9783540137214 Year: 1987 Volume: 9 Publisher: Berlin Springer

Computability theory, semantics, and logic programming
Author:
ISBN: 0195036913 9780195036916 Year: 1987 Volume: 13 Publisher: New York (N.Y.): Oxford university press

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Programming --- Computer science --- Mathematical logic --- Computable functions --- Data structures (Computer science) --- 681.3*F11 --- 681.3*F41 --- 681.3*I23 --- Information structures (Computer science) --- Structures, Data (Computer science) --- Structures, Information (Computer science) --- Electronic data processing --- File organization (Computer science) --- Abstract data types (Computer science) --- Computability theory --- Functions, Computable --- Partial recursive functions --- Recursive functions, Partial --- Constructive mathematics --- Decidability (Mathematical logic) --- Models of computation: automata; bounded action devices; computability theory; relations among models; self-modifying machines; unbounded-action devices--See also {681.3*F41} --- Mathematical logic: computability theory; computational logic; lambda calculus; logic programming; mechanical theorem proving; model theory; proof theory;recursive function theory--See also {681.3*F11}; {681.3*I22}; {681.3*I23} --- Deduction and theorem proving: answer/reason extraction; reasoning; resolution; metatheory; mathematical induction; logic programming (Artificial intelligence) --- 681.3*I23 Deduction and theorem proving: answer/reason extraction; reasoning; resolution; metatheory; mathematical induction; logic programming (Artificial intelligence) --- 681.3*F41 Mathematical logic: computability theory; computational logic; lambda calculus; logic programming; mechanical theorem proving; model theory; proof theory;recursive function theory--See also {681.3*F11}; {681.3*I22}; {681.3*I23} --- 681.3*F11 Models of computation: automata; bounded action devices; computability theory; relations among models; self-modifying machines; unbounded-action devices--See also {681.3*F41} --- Informatique --- Computer science. --- Sémantique --- Logique mathématique --- Informatique theorique --- Programmation logique

Analogical and inductive inference : international workshop AII'86, Wendisch-Rietz, October 6-10, 1986 : proceedings
Author:
ISBN: 3540180818 0387180818 354047739X Year: 1987 Volume: vol 265 Publisher: Berlin Heidelberg New York Springer

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This volume contains revised versions of presentations at the International Workshop on Analogical and Inductive Inference (AII '86) held in Wendisch-Rietz, GDR, October 16-10, 1986. Inductive inference and analogical reasoning are two basic approaches to learning algorithms. Both allow for exciting problems and promising concepts of invoking deeper mathematical results for considerable advances in intelligent software systems. Hence analogical and inductive inference may be understood as a firm mathematical basis for a large variety of problems in artificial intelligence. While the papers on inductive inference contain technical results and reflect the state of the art of this well-developed mathematical theory, those devoted to analogical reasoning reflect the ongoing process of developing the basic concepts of the approach. The workshop thus contributes significantly to the advancement of this field.

Keywords

Computer science --- Mathematical logic --- 681.3*F41 --- 681.3*I22 --- 681.3*I26 --- Mathematical logic: computability theory; computational logic; lambda calculus; logic programming; mechanical theorem proving; model theory; proof theory;recursive function theory--See also {681.3*F11}; {681.3*I22}; {681.3*I23} --- Automatic programming: automatic analysis of algorithms; program modification; program synthesis; program transformation; program verification (Artificialintelligence)--See also {681.3*D12}; {681.3*F31} --- Learning: analogies; concept learning; induction; knowledge acquisition; language acquisition; parameter learning (Artificial intelligence)--See also {681.3*K32} --- 681.3*I26 Learning: analogies; concept learning; induction; knowledge acquisition; language acquisition; parameter learning (Artificial intelligence)--See also {681.3*K32} --- 681.3*I22 Automatic programming: automatic analysis of algorithms; program modification; program synthesis; program transformation; program verification (Artificialintelligence)--See also {681.3*D12}; {681.3*F31} --- 681.3*F41 Mathematical logic: computability theory; computational logic; lambda calculus; logic programming; mechanical theorem proving; model theory; proof theory;recursive function theory--See also {681.3*F11}; {681.3*I22}; {681.3*I23} --- Artificial intelligence. --- Artificial Intelligence. --- AI (Artificial intelligence) --- Artificial thinking --- Electronic brains --- Intellectronics --- Intelligence, Artificial --- Intelligent machines --- Machine intelligence --- Thinking, Artificial --- Bionics --- Cognitive science --- Digital computer simulation --- Electronic data processing --- Logic machines --- Machine theory --- Self-organizing systems --- Simulation methods --- Fifth generation computers --- Neural computers --- Congresses

Graph reduction : proceedings of a workshop Santa Fé, New Mexico, September 29-October 1, 1986
Authors: ---
ISBN: 3540184201 0387184201 3540479635 Year: 1987 Volume: vol 279 Publisher: Berlin London Tokyo Springer

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This volume describes recent research in graph reduction and related areas of functional and logic programming, as reported at a workshop in 1986. The papers are based on the presentations, and because the final versions were prepared after the workshop, they reflect some of the discussions as well. Some benefits of graph reduction can be found in these papers: - A mathematically elegant denotational semantics - Lazy evaluation, which avoids recomputation and makes programming with infinite data structures (such as streams) possible - A natural tasking model for fine-to-medium grain parallelism. The major topics covered are computational models for graph reduction, implementation of graph reduction on conventional architectures, specialized graph reduction architectures, resource control issues such as control of reduction order and garbage collection, performance modelling and simulation, treatment of arrays, and the relationship of graph reduction to logic programming.

Keywords

Computer science --- 681.3*C1 --- 681.3*D11 --- 681.3*D34 --- 681.3*F11 --- 681.3*F41 --- Processor architectures (Computer systems organization) --- Applicative (functional) programming --- Processors: code generation; compilers; interpreters; optimization; parsing; preprocessors; run-time environments; translator writing systems and compilergenerators (Programming languages) --- Models of computation: automata; bounded action devices; computability theory; relations among models; self-modifying machines; unbounded-action devices--See also {681.3*F41} --- Mathematical logic: computability theory; computational logic; lambda calculus; logic programming; mechanical theorem proving; model theory; proof theory;recursive function theory--See also {681.3*F11}; {681.3*I22}; {681.3*I23} --- 681.3*F41 Mathematical logic: computability theory; computational logic; lambda calculus; logic programming; mechanical theorem proving; model theory; proof theory;recursive function theory--See also {681.3*F11}; {681.3*I22}; {681.3*I23} --- 681.3*F11 Models of computation: automata; bounded action devices; computability theory; relations among models; self-modifying machines; unbounded-action devices--See also {681.3*F41} --- 681.3*D34 Processors: code generation; compilers; interpreters; optimization; parsing; preprocessors; run-time environments; translator writing systems and compilergenerators (Programming languages) --- 681.3*D11 Applicative (functional) programming --- 681.3*C1 Processor architectures (Computer systems organization) --- Mathematics. --- Computer network architectures. --- Computer science. --- Mathematics, general. --- Computer System Implementation. --- Computation by Abstract Devices. --- Mathematical Logic and Formal Languages. --- Processor Architectures. --- Programming Techniques. --- Informatics --- Science --- Architectures, Computer network --- Network architectures, Computer --- Computer architecture --- Math

Category theory and computer science, Edinburgh, September 7-9, 1987 : proceedings
Authors: --- ---
ISBN: 3540185089 3540480064 Year: 1987 Volume: vol 283 Publisher: Berlin Heidelberg New York Springer

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Abstract

Keywords

Computer science --- Ordered algebraic structures --- 681.3*D21 --- 681.3*D31 --- 681.3*D33 --- 681.3*F3 --- 681.3*F41 --- Requirements/specifications: languages; methodologies; tools (Software engineering)--See also {681.3*D31} --- Formal definitions and theory: semantics; syntax (Programming languages)--See also {681.3*D21}; {681.3*F31}; {681.3*F32}; {681.3*F42}; {681.3*F43} --- Languages constructs: abstract data types; concurrent programming structures;control structures; coroutines (Programming languages) --- Logics and meanings of programs (Theory of computation) --- Mathematical logic: computability theory; computational logic; lambda calculus; logic programming; mechanical theorem proving; model theory; proof theory;recursive function theory--See also {681.3*F11}; {681.3*I22}; {681.3*I23} --- 681.3*F41 Mathematical logic: computability theory; computational logic; lambda calculus; logic programming; mechanical theorem proving; model theory; proof theory;recursive function theory--See also {681.3*F11}; {681.3*I22}; {681.3*I23} --- 681.3*F3 Logics and meanings of programs (Theory of computation) --- 681.3*D33 Languages constructs: abstract data types; concurrent programming structures;control structures; coroutines (Programming languages) --- 681.3*D31 Formal definitions and theory: semantics; syntax (Programming languages)--See also {681.3*D21}; {681.3*F31}; {681.3*F32}; {681.3*F42}; {681.3*F43} --- 681.3*D21 Requirements/specifications: languages; methodologies; tools (Software engineering)--See also {681.3*D31} --- Topology. --- Logic design. --- Computer science. --- Logic, Symbolic and mathematical. --- Logics and Meanings of Programs. --- Mathematical Logic and Formal Languages. --- Mathematical Logic and Foundations. --- Algebra of logic --- Logic, Universal --- Mathematical logic --- Symbolic and mathematical logic --- Symbolic logic --- Mathematics --- Algebra, Abstract --- Metamathematics --- Set theory --- Syllogism --- Informatics --- Science --- Design, Logic --- Design of logic systems --- Digital electronics --- Electronic circuit design --- Logic circuits --- Machine theory --- Switching theory --- Analysis situs --- Position analysis --- Rubber-sheet geometry --- Geometry --- Polyhedra --- Algebras, Linear

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