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

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https://doi.org/10.1057/9781137345257. A derivation in the system constructs these terms. What is more, the complexity of building affine retractions is studied. The problem of affine retractability is NP-complete evenfor the class of types over single type atom and having limited functional order. A polynomial algorithm for types of orders less than 3 is also presented.

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Predicate Transformers and Linear Logic: Yet Another Denotational Modell model of full linear logic: all the logical constructions have a natural interpretation in terms of predicate transformers (. in terms of specifications). We then interpret proofs of a formula by a safety property for the corresponding specification.

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On the Building of Affine Retractions. A derivation in the system constructs these terms. What is more, the complexity of building affine retractions is studied. The problem of affine retractability is NP-complete evenfor the class of types over single type atom and having limited functional order. A polynomial algorithm for types of orders less than 3 is also presented.

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Applications of Craig Interpolation to Model Checkingressed 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

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Bindings, Mobility of Bindings, and the ∇-Quantifier: An Abstract 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

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A Bounding Quantifieres 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 ∧.