Types for Proofs and Programs
Springer Berlin (Verlag)
978-3-540-58085-0 (ISBN)
As the whole ESPRIT BRA 6453, this volume is devoted to the theoretical foundations, design and applications of systems for theory development. Such systems help in designing mathematical axiomatisation, performing computer-aided logical reasoning, and managing databases of mathematical facts; they are also known as proof assistants or proof checkers.
Proving strong normalization of CC by modifying realizability semantics.- Checking algorithms for Pure Type Systems.- Infinite objects in type theory.- Conservativity between logics and typed ? calculi.- Logic of refinement types.- Proof-checking a data link protocol.- Elimination of extensionality in Martin-Löf type theory.- Programming with streams in Coq a case study: The Sieve of Eratosthenes.- The Alf proof editor and its proof engine.- Encoding Z-style Schemas in type theory.- The expressive power of Structural Operational Semantics with explicit assumptions.- Developing certified programs in the system Coq the program tactic.- Closure under alpha-conversion.- Machine Deduction.- Type theory and the informal language of mathematics.- Semantics for abstract clauses.
| Erscheint lt. Verlag | 20.5.1994 |
|---|---|
| Reihe/Serie | Lecture Notes in Computer Science |
| Zusatzinfo | IX, 395 p. |
| Verlagsort | Berlin |
| Sprache | englisch |
| Maße | 155 x 233 mm |
| Gewicht | 529 g |
| Themenwelt | Mathematik / Informatik ► Informatik ► Software Entwicklung |
| Informatik ► Theorie / Studium ► Künstliche Intelligenz / Robotik | |
| Schlagworte | Automatisches Beweisverfahren • Beweisprüfung • Compiler • Databases • formale Sprachen • Hardcover, Softcover / Informatik, EDV/Informatik • HC/Informatik, EDV/Informatik • HC/Informatik, EDV/Programmiersprachen • Kalkül • Lambda-Calculus • Lambda-Kalkül • linear optimization • logical reasoning • Machine Deduction • Maschinelles Schließen • Programmiersprache • Programmierung • proof checking • Systematisches Beweisen • theorem proving • Typentheorie • Types |
| ISBN-10 | 3-540-58085-9 / 3540580859 |
| ISBN-13 | 978-3-540-58085-0 / 9783540580850 |
| Zustand | Neuware |
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