Mathematical Foundations of Software Development. Proceedings of the International Joint Conference on Theory and Practi : Volume 1: Colloquium on Trees in Algebra and Programming (CAAP'85) (Lecture Notes in Computer Science 185) (1985)

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Mathematical Foundations of Software Development. Proceedings of the International Joint Conference on Theory and Practi : Volume 1: Colloquium on Trees in Algebra and Programming (CAAP'85) (Lecture Notes in Computer Science 185) (1985)

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Description


(Table of content)
Specification and top down design of distributed systems.- Specification languages for distributed systems.- Semantically based programming tools (Summary).- From function level semantics to program transformation and optimization.- Inductively defined functions.- Three approaches to type structure.- On the maximum size of random trees.- Fast searching in a real algebraic manifold with applications to geometric complexity.- Typed categorical combinatory logic.- A path ordering for proving termination of term rewriting systems.- A rewrite rule based approach for synthesizing abstract data types.- "Delayability" in proofs of strong normalizability in the typed lambda Calculus.- Bisimulations and abstraction homomorphisms.- A metric characterization of fair computations in CCS.- A complete modal proof system for a subset of SCCS.- Amalgamation of graph transformations with applications to synchronization.- Decompilation of control structures by means of graph transformations.- Synchronized bottom-up tree automata and L-systems.- On observational equivalence and algebraic specification.- Parameter preserving data type specifications.- On the parameterized algebraic specification of concurrent systems.- The semantics of shared submodules specifications.- Why Horn formulas matter in computer science: Initial structures and generic examples.- On the implementation of abstract data types by programming language constructs.- A LISP compiler for FP language and its proof via algebraic semantics.

Contents

Specification and top down design of distributed systems.- Specification languages for distributed systems.- Semantically based programming tools (Summary).- From function level semantics to program transformation and optimization.- Inductively defined functions.- Three approaches to type structure.- On the maximum size of random trees.- Fast searching in a real algebraic manifold with applications to geometric complexity.- Typed categorical combinatory logic.- A path ordering for proving termination of term rewriting systems.- A rewrite rule based approach for synthesizing abstract data types.- "Delayability" in proofs of strong normalizability in the typed lambda Calculus.- Bisimulations and abstraction homomorphisms.- A metric characterization of fair computations in CCS.- A complete modal proof system for a subset of SCCS.- Amalgamation of graph transformations with applications to synchronization.- Decompilation of control structures by means of graph transformations.- Synchronized bottom-up tree automata and L-systems.- On observational equivalence and algebraic specification.- Parameter preserving data type specifications.- On the parameterized algebraic specification of concurrent systems.- The semantics of shared submodules specifications.- Why Horn formulas matter in computer science: Initial structures and generic examples.- On the implementation of abstract data types by programming language constructs.- A LISP compiler for FP language and its proof via algebraic semantics.

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