Many-sorted logic and its applications
著者
書誌事項
Many-sorted logic and its applications
（Wiley professional computing）
Wiley, c1993
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内容説明・目次
内容説明
This is a comprehensive introduction to many-sorted logic - a variety of classical logic with applications to computer science, artificial intelligence and mathematics. Computer science is essentially many-sorted; its reasoning is based on composite structures, such as elements and functions, data and programmes, data and time. Following a detailed introduction to the theory of many-sorted first-order logic as a universal logic encompassing a range of other logical systems, the book then focuses on its important application areas within computer science research. It requires only a basic knowledge of mathematical logic and will be of value to computer scientists, mathematicians and philosophers.
目次
- ALGEBRAIC METHODS
- Equational Specifications for Computable Data Types: Six Hidden Functions Suffice and Other Sufficiency Bounds (J. Bergstra & J. Tucker)
- On Bounds for the Specification of Finite Data Types by Means of Equations and Conditional Equations (J. Bergstra & J. Tucker)
- Many-Sorted Logics and Algebraic Semantics (I. Guessarian)
- Subdirect Representation of Higher-Order Algebras (K. Meinke)
- FOUNDATIONS OF ARTIFICIAL INTELLIGENCE
- On the Appearance of Sortal Literals: A Non-Substitutional Approach to Hybrid Reasoning (A. Cohn)
- An Order-Sorted Predicate Logic with Closely Coupled Taxonomic Information (C. Beierle, et al.)
- FOUNDATIONS OF PROGRAM VERIFICATION
- Comparing and Characterizing the Powers of Established Program Verification Methods (I. Sain)
- An Infinite Hierarchy of Program Verification Methods (A. Pasztor)
- Standard Versus Non-Standard Semantics in Logics for Functional Programs (A. Gil-Luezas, et al.)
- Index.
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