Computational Logic and Proof Theory

5th Kurt G¶del Colloquium, KGC'97, Vienna, Austria, August 25-29, 1997, Proceedings

By: Georg Gottlob (Editor), Alexander Leitsch (Editor), Daniele Mundici (Editor)

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Paperback | 13 August 1997

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364 Pages

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This book constitutes the refereed proceedings of the 5th Kurt G¶del Colloquium on Computational Logic and Proof Theory, KGC '97, held in Vienna, Austria, in August 1997.
The volume presents 20 revised full papers selected from 38 submitted papers. Also included are seven invited contributions by leading experts in the area. The book documents interdisciplinary work done in the area of computer science and mathematical logics by combining research on provability, analysis of proofs, proof search, and complexity.

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Non-Fiction Computing & I.T.Computer Science Artificial Intelligence Mathematics Mathematical Foundation Mathematical Logic Computer Programming & Software Development Programming & Scripting Languages Algorithms & Data Structures Science Science in General

Philosophy of Science

Paramodulation, Superposition, and Simplification	p. 1
Explaining Gentzen's Consistency Proof within Infinitary Proof Theory	p. 4
Alogtime Algorithms for Tree Isomorphism, Comparison, and Canonization	p. 18
Ultrafilter Logic and Generic Reasoning	p. 34
Informal Rigor and Mathematical Understanding	p. 54
Resolution, Inverse Method and the Sequent Calculus	p. 65
Subtyping over a Lattice	p. 84
A New Method for Bounding the Complexity of Modal Logics	p. 89
Parameter Free Induction and Reflection	p. 103
Looking for an Analogue of Rice's Theorem in Circuit Complexity Theory	p. 114
Two Connections between Linear Logic and Lukasiewicz Logics	p. 128
Structuring of Computer-Generated Proofs by Cut Introduction	p. 140
NaDSyl and some Applications	p. 153
Markov's Rule is Admissible in the Set Theory with Intuitionistic Logic	p. 167
Bounded Hyperset Theory and Web-like Data Bases	p. 172
Invariant Definability	p. 186
Comparing Computational Representations of Herbrand Models	p. 203
Restart Tableaux with Selection Function	p. 219
Two Semantics and Logics Based on the Godel Interpretation	p. 223
On the Completeness and Decidability of a Restricted First Order Linear Temporal Logic	p. 241
Propositional Quantification in Intuitionistic Logic	p. 255
Sketch-as-Proof	p. 264
Translating Set Theoretical Proofs into Type Theoretical Programs	p. 278
Denotational Semantics for Polarized (but Non-constrained) LK by means of the Additives	p. 290
The Undecidability of Simultaneous Rigid E-Unification with Two Variables	p. 305
The Tangibility Reflection Principle for Self-Verifying Axiom Systems	p. 319
Upper Bounds for Standardizations and an Application	p. 335
Table of Contents provided by Blackwell. All Rights Reserved.

Computational Logic and Proof Theory

5th Kurt G¶del Colloquium, KGC'97, Vienna, Austria, August 25-29, 1997, Proceedings

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