Titlebook: Computer Science Logic; 18th International W Jerzy Marcinkowski,Andrzej Tarlecki Conference proceedings 2004 Springer-Verlag Berlin Heidelb

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My (Un)Favourite ThingsThe talk will be devoted to four open problems I was unsuccessfully trying to solve in the past. These problems concern:.Each of these problems addresses a basic issue in the logical foundations of computer science, and each has been open for a long time. This talk aims at bringing back the challenge, and sorting out the related confusions.

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CAGE

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The Limbic Connections of the Brain,ressed over the common variables of A and B. It is known that a Craig interpolant can be efficiently derived from a refutation of . ∧ ., for certain theories and proof systems. For example, interpolants can be derived from resolution proofs in propositional logic, and for “cutting planes” proofs for

Deceit

The Cartoon Introduction to Climate Change given specification. We then specify the operational semantics and bisimulation relations for the finite .-calculus within this meta-logic. Since we restrict to the finite case, the ability of the meta-logic to reason within fixed points becomes a powerful and complete tool since simple proof searc

troponins

SPALL

A Brief History of Planet Earthes that there is a finite bound on the size of sets satisfying .(.). Satisfiability is proved decidable for two fragments of MSOL+.: formulas of the form .X..(.), with . a .-free formula; and formulas built from .-free formulas by nesting ., ∃, ∨ and ∧.

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Intrepid

Germany Abdicates Hard Money Power,olver for ground equational clauses together with an instance generation process based on an ordered paramodulation type calculus for literals. The completeness of the procedure is proved using the the model generation technique, which allows us to justify redundancy elimination based on appropriate