Computational Logic and Proof Theory

Third Kurt Gödel Colloquium, KGC'93, Brno, Czech Republic, August 24-27, 1993. Proceedings
1993
ISBN: 978-3-540-57184-1
Verlag: Springer Berlin Heidelberg

Buch, Englisch, Band 713, 354 Seiten, Paperback, Format (B × H): 155 mm x 235 mm, Gewicht: 1160 g

Reihe: Lecture Notes in Computer Science

The Third Kurt G del Symposium, KGC'93, held in Brno, Czech

Republic, August1993, is the third in a series of biennial

symposia on logic, theoretical computer science, and

philosophy of mathematics. The aim of this meeting wasto

bring together researchers working in the fields of

computational logic and proof theory. While proof theory

traditionally is a discipline of mathematical logic, the

central activity in computational logic can be foundin

computer science. In both disciplines methods were invented

which arecrucial to one another. This volume contains the

proceedings of the symposium. It contains contributions by

36 authors from 10 different countries. In addition to 10

invited papers there are 26 contributed papers selected from

over 50 submissions.

Zielgruppe

Research

Autoren/Hrsg.

Gottlob, Georg

Mundici, Daniele

Leitsch, Alexander

Fachgebiete

• Mathematik | Informatik EDV | Informatik Informatik Logik, formale Sprachen, Automaten
• Geisteswissenschaften Philosophie Philosophie der Mathematik, Philosophie der Physik
• Mathematik | Informatik Mathematik Mathematik Allgemein Mathematische Logik
• Mathematik | Informatik EDV | Informatik Informatik Theoretische Informatik
• Mathematik | Informatik Mathematik Mathematik Allgemein Philosophie der Mathematik
• Mathematik | Informatik Mathematik Numerik und Wissenschaftliches Rechnen Angewandte Mathematik, Mathematische Modelle

Inhaltsverzeichnis

The mathematics of set predicates in Prolog.- Some connections between set theory and computer science.- Gödel's Dialectica interpretation and its two-way stretch.- Epistemic entrenchment and arithmetical hierarchy (abstract).- A critical reexamination of default logic, autoepistemic logic, and only knowing.- Complexity issues in nonmonotonic logic and logic programming (abstract).- Strategies for resolution method in non-classical logics (Abstract).- Undecidability of implication problems in logic programming, database theory and classical logic.- Building up a tool-box for Martin-Löf's type theory (abstract).- The logic of the Gödel proof predicate.- Superposition with simplification as a decision procedure for the monadic class with equality.- Computation with access to the reals, but using only classical machines.- The even more liberalized ?-rule in free variable Semantic Tableaux.- Differentiating assumptions from extra-logical axioms in natural deduction.- The inverse of fitting's functional.- On loop detection in connection calculi.- On Arnol'd's Hilbert symposium problems.- The structure of exponentials: Uncovering the dynamics of linear logic proofs.- On different concepts of function introduction.- Double exponential inseparability of Robinson subsystem Q+ from the unsatisfiable sentences in the language of addition.- On the meaning of essentially unprovable theorems in the presburger theory of addition.- A syntactic consistency proof for NaDSet.- A rule-based algorithm for rigid E-unification.- A scheme for weakened negative introspection in autoepistemic reasoning.- On the weakness of sharply bounded polynomial induction.- On the logic of hypergraphs.- Recursion theoretic properties of frequency computation and bounded queries (extended abstract).-Interpreting true arithmetic in degree structures.- Classical proofs as programs.- Completeness of the pool calculus with an open built-in theory.- On the saturation principle for a linear temporal logic.- A construction of typed lambda models related to feasible computability.- Nonmonotonic reasoning is sometimes simpler.- Self-verifying axiom systems.- Committed-choice concurrent logic programming in linear logic.