Mathematical Foundations of Computer Science 1979 -

. .

Résumé :
A sound and complete proof system for partial program correctness.- The problem of reachability and verification of programs.- Assertion programming.- Complexity classes of formal languages.- Fast probabilistic algorithms.- Relative succinctness of representations of languages and separation of complexity classes.- On two types of loops.- Full abstraction for a simple parallel programming language.- On some developments in cryptography and their applications to computer science.- Searching, sorting and information theory.- Lcf: A way of doing proofs with a machine.- Axioms or algorithms.- Power from power series.- Computational complexity of string and graph ident ification.- A survey of grammar and l forms-1978.- A theoretical study on the time analysis of programs.- Completeness problems in verification of programs and program schemes.- Relationships between AFDL's and cylinders.- Computable data types.- Program equivalence and provability.- Interactive L systems with almost interactionless behaviour.- On the simplification of constructions in degrees of unsolvability via computational complexity.- An algebraic extension of the Chomsky ? hierarchy.- Bounds on computational complexity and approximability of initial segments of recursive sets.- On the weighted path length of binary search trees for unknown access probabilities.- Computational complexity of approximation algorithms for combinatorial problems.- A reduct-and-closure algorithm for graphs.- Small universal Minsky machines.- Parallel and two-way recognizers of directed acyclic graphs.- Fully effective solutions of recursive domain equations.- A note on computational complexity of a statistical deducibility testing procedure.- Context free normal systems.- New proofs for jump dpda's.- Synchronization and maximality for very pure subsemigroups of a free semigroup.- On the sets of minimal indices of partial recursive functions.- Some remarks on Boolean sums.- On the propositional algorithmic logic.- Ch(k) grammars: A characterization of LL(k) languages.- A uniform approach to balanced binary and multiway trees.- On the generative capacity of some classes of grammars with regulated rewriting.- Validity test for Floyd's operator-precedence parsing algorithms.- On the languages of bounded Petri nets.- Dyck language D2 is not absolutely parallel.- Fixed points in the power-set algebra of infinite trees.- On relaxation rules in algorithmic logic.- L-Fuzzy functorial automata.- Schematics of structural parallel programming and its applications.- On axiomatization of deterministic propositional dynamic logic.- Bounded recursion and complexity classes.- Characterization of rational and algebraic power series.- A crossing measure for 2-tape Turing machines.- The complexity of lexicographic sorting and searching.- An algebraic approach to concurrence.- On multitape automata.- A turing machine oracle hierarchy.- A survey of some syntactic results in the ?-calculus.- On rational expressions representing infinite rational trees : Application to the structure of flow charts.

Sommaire:
A sound and complete proof system for partial program correctness.- The problem of reachability and verification of programs.- Assertion programming.- Complexity classes of formal languages.- Fast probabilistic algorithms.- Relative succinctness of representations of languages and separation of complexity classes.- On two types of loops.- Full abstraction for a simple parallel programming language.- On some developments in cryptography and their applications to computer science.- Searching, sorting and information theory.- Lcf: A way of doing proofs with a machine.- Axioms or algorithms.- Power from power series.- Computational complexity of string and graph ident ification.- A survey of grammar and l forms-1978.- A theoretical study on the time analysis of programs.- Completeness problems in verification of programs and program schemes.- Relationships between AFDL's and cylinders.- Computable data types.- Program equivalence and provability.- Interactive L systems with almost interactionless behaviour.- On the simplification of constructions in degrees of unsolvability via computational complexity.- An algebraic extension of the Chomsky - hierarchy.- Bounds on computational complexity and approximability of initial segments of recursive sets.- On the weighted path length of binary search trees for unknown access probabilities.- Computational complexity of approximation algorithms for combinatorial problems.- A reduct-and-closure algorithm for graphs.- Small universal Minsky machines.- Parallel and two-way recognizers of directed acyclic graphs.- Fully effective solutions of recursive domain equations.- A note on computational complexity of a statistical deducibility testing procedure.- Context free normal systems.- New proofs for jump dpda's.- Synchronization andmaximality for very pure subsemigroups of a free semigroup.- On the sets of minimal indices of partial recursive functions.- Some remarks on Boolean sums.- On the propositional algorithmic logic.- Ch(k) grammars: A characterization of LL(k) languages.- A uniform approach to balanced binary and multiway trees.- On the generative capacity of some classes of grammars with regulated rewriting.- Validity test for Floyd's operator-precedence parsing algorithms.- On the languages of bounded Petri nets.- Dyck language D2 is not absolutely parallel.- Fixed points in the power-set algebra of infinite trees.- On relaxation rules in algorithmic logic.- L-Fuzzy functorial automata.- Schematics of structural parallel programming and its applications.- On axiomatization of deterministic propositional dynamic logic.- Bounded recursion and complexity classes.- Characterization of rational and algebraic power series.- A crossing measure for 2-tape Turing machines.- The complexity of lexicographic sorting and searching.- An algebraic approach to concurrence.- On multitape automata.- A turing machine oracle hierarchy.- A survey of some syntactic results in the ?-calculus.- On rational expressions representing infinite rational trees : Application to the structure of flow charts....