David Aspinall (auth.), Leszek Pacholski, Jerzy Tiuryn (eds.)3540600175, 9783540600176
The 38 papers presented were selected from a total of 151 submissions. All important aspects of the methods of mathematical logic in computer science are addressed: lambda calculus, proof theory, finite model theory, logic programming, semantics, category theory, and other logical systems. Together, these papers give a representative snapshot of the area of logical foundations of computer science.
Table of contents :
Subtyping with singleton types….Pages 1-15
A subtyping for the Fisher-Honsell-Mitchell lambda calculus of objects….Pages 16-30
The Girard Translation extended with recursion….Pages 31-45
Decidability of higher-order subtyping with intersection types….Pages 46-60
A λ-calculus structure isomorphic to Gentzen-style sequent calculus structure….Pages 61-75
Usability: formalising (un)definedness in typed lambda calculus….Pages 76-90
Lambda representation of operations between different term algebras….Pages 91-105
Semi-unification and generalizations of a particularly simple form….Pages 106-120
A mixed linear and non-linear logic: Proofs, terms and models….Pages 121-135
Cut free formalization of logic with finitely many variables. Part I…..Pages 136-150
How to lie without being (easily) convicted and the lengths of proofs in propositional calculus….Pages 151-162
Monadic second-order logic and linear orderings of finite structures….Pages 163-176
First-order spectra with one binary predicate….Pages 177-189
Monadic logical definability of NP-complete problems….Pages 190-204
Logics for context-free languages….Pages 205-216
Log-approximable minimization problems on random inputs….Pages 217-227
Is first order contained in an initial segment of PTIME?….Pages 228-241
Logic programming in Tau Categories….Pages 242-248
Reasoning and rewriting with set-relations I: Ground completeness….Pages 249-263
Resolution games and non-liftable resolution orderings….Pages 264-278
On existential theories of list concatenation….Pages 279-293
Completeness of resolution for definite answers with case analysis….Pages 294-308
Subrecursion as a basis for a feasible programming language….Pages 309-323
A sound metalogical semantics for input/output effects….Pages 324-338
An intuitionistic modal logic with applications to the formal verification of hardware….Pages 339-353
Towards machine-checked compiler correctness for higher-order pure functional languages….Pages 354-368
Powerdomains, powerstructures and fairness….Pages 369-381
Canonical forms for data-specifications….Pages 382-396
An algebraic view of structural induction….Pages 397-411
On the interpretation of type theory in locally cartesian closed categories….Pages 412-426
Algorithmic aspects of propositional tense logics….Pages 427-441
Stratified default theories….Pages 442-455
A homomorphism concept for ω-regularity….Pages 456-470
Ramified recurrence and computational complexity II: Substitution and poly-space….Pages 471-485
General form recursive equations I….Pages 486-500
Modal logics preserving admissible for S 4 inference rules….Pages 501-511
A bounded set theory with Anti-Foundation Axiom and inductive definability….Pages 512-526
….Pages 527-541
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