Design and Implementation of Symbolic Computation Systems

Current problems in computer algebra systems design.- The design of cayley - a language for modern algebra.- CoCoA: A user-friendly system for commutative algebra.- The design of SISYPHE : a system for doing symbolic and algebraic computations.- Scratchpad's view of algebra I: Basic commutative algebra.- Design issues for a computed-aided environment for constructive mathematics.- Efficient type inference and coercion in computer algebra.- Abstract specification of mathematical structures and methods.- Programming paradigms for symbolic computation systems analysis of an example.- The computation of Gröbner bases on a shared memory multiprocessor.- A theory for program and data type specification.- Context induction: A proof principle for behavioural abstractions.- Completion modulo associativity, commutativity and identity (AC1).- Polymorphic type checking with subtypes in Prolog.- On the power of subsumption and context checks.- Putting algebraic components together: A dependent type approach.- The use of proof plans in formal methods.- A prolog technology theorem prover: A new exposition and implementation in Prolog.- Parametric queries, linear constraints and variable elimination.- AC-unification race: The system solving approach and its implementation.- Heuristical criteria in refutational theorem proving.- Requirements for standards in knowledge base systems.- Reconciling symbolic and numeric computation in a practical setting.- The design and specification of the ASSPEGIQUE database.- A functional and logic language with polymorphic types.- Graphical object oriented executable specification for an automation oriented paradigm of software development.- Building graphic user interfaces for computer algebra systems.- A system independent graphing package for mathematical functions.- A model of interaction for graphical systems.- Praxis: A rule-based expert system for MACSYMA.- Will DELiA grow into an expert system?.- The GANITH algebraic geometry toolkit.- Mas